System for, and method of, processing quadrature amplitude modulated signals

Abstract

Analog signals encoded with quadrature amplitude modulation (QAM) pass through a coaxial cable at a particular baud rate. These signals have a carrier frequency individual to the TV station being received. They are mixed with signals from a variable frequency oscillator to produce signals at a particular intermediate frequency (IF). An analog-digital converter (ADC) converts the IF signals to corresponding digital signals which are demodulated to produce two digital signals having a quadrature phase relationship. After being filtered and derotated, the digital signals pass to a symmetrical equalizer including a feed forward equalizer (FFE) and a decision feedback equalizer (DFE) connected to the FFE in a feedback relationship. The DFE may include a slicer providing amplitude approximations of increasing sensitivity at progressive times. Additional slicers in the equalizer combine the FFE and DFE outputs to provide the output data without any of the coaxial cable noise or distortions. The equalizer outputs and initially the derotation outputs, and the slicer outputs, servo (1) the oscillator frequency to obtain the IF frequency, (2) the ADC sampling clock to obtain the digital conversion at a rate related to the particular baud rate and (3) the derotator. The servos may have (1) first constants initially after a change in the station selection and (2) second time constants thereafter. The ADC gain is also servoed (1) initially in every ADC conversion and (2) subsequently in every nth ADC conversion where n=integer>1. The above recover the QAM data without any of the coaxial cable noise or distortions.

1. In combination for operating upon analog signals transmitted through a coaxial cable providing quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to analog signals having a particular intermediate frequency,  
 second means for converting the analog signals at the particular intermediate frequency to corresponding digital signals,  
 third means for operating upon the digital signals to provide the digital signals with a quadrature phase relationship,  
 fourth means for passing the low frequency components in the digital signals with the quadrature phase relationship,  
 fifth means for derotating the digital signals passed by the fourth means,  
 sixth means responsive to the derotated digital signals for recovering, in digital form, the quadrature amplitude modulated data,  
 the fifth means including seventh means for multiplying the output from the fourth means by trigonometric signals in a quadrature phase relationship to provide for a recovery in digital form of the quadrature amplitude modulated data from the noise and distortions in the coaxial cable,  
 eighth means responsive to the derotated digital signals for producing error signals, and  
 ninth means responsive to the error signals from the eighth means for regulating the analog signals from the first means at the particular intermediate frequency.  
 
     
     
       2. In a combination as set forth in  claim 1 ,
 tenth means for equalizing the derotated signals from the fifth means, and  
 eleventh means responsive to the outputs from the fifth means and the tenth means for providing a servo feedback to the fifth means to adjust the phases of the trigonometric signals form the seventh means for facilitating the recovery of the quadrature amplitude modulated data by the sixth means from the noise and distortions in the coaxial cable.  
 
     
     
       3. In a combination as set forth in  claim 2 ,
 twelfth means for obtaining the recovery of the phase and amplitude modulations in the coaxial cable at the output of the tenth means.  
 
     
     
       4. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship to the other of the digital signals in the pair,  
 third means for derotating the digital signals in the pair, and  
 fourth means for equalizing the derotated signals from the third means,  
 fifth means for providing progressive pluralities of values, each progressive plurality having a greater number of values than the numbers of values in the previous ones of the progressive pluralities,  
 sixth means for determining the individual one of the values in each of the progressive pluralities closest to the derotated equalized signals.  
 
     
     
       5. In a combination as set forth in  claim 4 ,
 fifth means responsive to the signals from the third means and the fourth means for servoing the operation of the third means to facilitate the derotation of the digital signals in the pair.  
 
     
     
       6. In a combination as set forth in  claim 4 ,
 the signals in the coaxial cable including carrier signals having a carrier frequency,  
 seventh means for producing signals having a variable frequency, and  
 eighth means responsive to the signals from the second means and the signals from the fourth means for varying the frequency of the signals from the seventh means to provide a difference of a particular intermediate frequency between the frequency of the carrier signals and the frequency of the signals from the oscillator, and  
 the first means being operative to convert the signals at the particular intermediate frequency to the corresponding digital signals.  
 
     
     
       7. In a combination as set forth in  claim 6 ,
 ninth means responsive to the signals from the first means for regulating the gain of the analog signals converted at the particular intermediate frequency by the first means to the corresponding digital signals.  
 
     
     
       8. In a combination as set forth in  claim 6 ,
 tenth means responsive to the derotated signals from the third means and the derotated equalized signals from the fourth means for regulating the frequency of the intermediate frequency signals at the particular value.  
 
     
     
       9. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable, and  
 fourth means responsive to the signals from the third means for providing a closed loop servo with the third means for locking the phases of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the coaxial cable, and  
 fifth means for providing progressively refined approximations in the amplitudes of the digital signals in the pair to obtain a selection of an individual one of a plurality of binary values closest to the progressively refined approximations in the amplitudes of the digital signals in the pair.  
 
     
     
       10. In a combination as set forth in  claim 9 ,
 the third means including sixth means for derotating the digital signals in the pair, and  
 seventh means for recovering the quadrature amplitude modulated data from the individual one of the binary values in the plurality.  
 
     
     
       11. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise an distortions in the coaxial cable,
 first means for converting the analog signals to digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable, and  
 fourth means responsive to the signals from the third means for providing a closed loop servo with the third means for locking the phases of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the third means including a feed forward equalizer and a decision feedback equalizer and a pair of slicers each operable on an individual one of the digital signals in the pair to slice the digital signals into the closest of a number of binary values.  
 
     
     
       12. In a combination as set forth in  claim 11 ,
 the third means including fifth means for derotating the digital signals in the pair,  
 the fourth means being responsive to the derotated signals from the third means and to the digital signals from the slicers in the pair to lock the phases of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the coaxial cable.  
 
     
     
       13. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data at a particular baud rate to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals at a variable rate,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable, and  
 fourth means responsive to the signals from the third means for varying the rate of converting the analog signals to the digital signals to provide the digital signals at a rate having a particular relationship to the particular baud rate, and  
 fifth means for equalizing the digital signals in the pair from the second means, the fifth means being constructed to be symmetrical with respect to the second means to provide the same equalizations for the digital signals in the pair.  
 
     
     
       14. In a combination as set forth in  claim 13 ,
 the third means including means for derotating the digital signals in the pair.  
 
     
     
       15. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data at a particular baud rate to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals at a variable rate,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable, and  
 fourth means responsive to the signals from the third means for varying the rate of converting the analog signals to the digital signals to provide the digital signals at a rate having a particular relationship to the particular baud rate,  
 the third means including a feed forward equalizer and a decision feedback equalizer and a pair of slicers each operable on an individual one of the digital signals in the pair to slice the digital signals into the closest of a number of binary values.  
 
     
     
       16. In a combination as set forth in  claim 15 ,
 the third means including fifth means for derotating the digital signals in the pair,  
 the fourth means being responsive to the derotated signals from the third means and to the digital signals from the slicers in the pair to lock the phases of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the coaxial cable.  
 
     
     
       17. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data on a carrier signal of a particular frequency to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals at a variable rate,  
 second means for operating upon the digital signals to provide a pair of digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals from the second means to conform to the phases of the analog signals in the coaxial cable,  
 fourth means for providing an oscillator having a variable frequency, the fourth means being disposed before the first means in the combination, and  
 fifth means responsive to the digital signals from the third means for varying the frequency of the oscillator to obtain the production, from the mixing of the analog signals and the oscillator signals, of intermediate frequency signals having a particular frequency, and  
 sixth means responsive to the digital signals from the second means for servoing the operation of the fifth means to maintain the production of the intermediate frequency signals at the particular frequency.  
 
     
     
       18. In a combination as set forth in  claim 17 ,
 the third means including means for derotating the digital signals in the pair.  
 
     
     
       19. In a combination as set forth in  claim 17 ,
 the sixth means including seventh means for servoing the operation of the fifth means at a first rate to maintain the production of the intermediate frequency signals at the particular frequency,  
 the sixth means also including eighth means for servoing the operation of the fifth means at a second rate greater than the first rate to maintain the production of the intermediate frequency signals at the particular frequency.  
 
     
     
       20. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data on a carrier signal of a particular frequency to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals at a variable rate,  
 second means for operating upon the digital signals to provide a pair of digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals from the second means to conform to the phases of the analog signals in the coaxial cable,  
 fourth means for providing an oscillator having a variable frequency, the fourth means being disposed before the first means in the combination, and  
 fifth means responsive to the digital signals from the third means for varying the frequency of the oscillator to obtain the production, from the mixing of the analog signals and the oscillator signals, of intermediate frequency signals having a particular frequency,  
 the third means including a feed forward equalizer and a decision feedback equalizer and a pair of slicers each operable on an individual one of the digital signals in the pair to slice the digital signals into the closest of a number of binary values.  
 
     
     
       21. In a combination as set forth in  claim 20 ,
 the third means including fifth means for derotating the digital signals in the pair,  
 the fourth means being responsive to the derotated signals from the third means and to the digital signals from the slicers in the pair to lock the variable frequency of the oscillator to obtain the production, from the mixing of the analog signals and the oscillator signals, of intermediate frequency signals having a particular frequency.  
 
     
     
       22. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data at a particular baud rate to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals at a variable rate,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 fourth means responsive to the signals from the third means for providing a first closed loop servo with the third means for adjusting the operation of the first means to a rate having a particular relationship to the particular baud rate,  
 fifth means responsive to the signals from the third means for providing a second closed loop servo with the third means for locking the phases of the pair of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the transmitter, and  
 sixth means having inputs and outputs and operative in a closed loop between the inputs and the outputs for providing an equalization in the digital signals in the pair from the second means.  
 
     
     
       23. In a combination as set forth in  claim 22 ,
 means responsive to the digital signals from the first means for regulating the amplitude of the digital signals.  
 
     
     
       24. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data at a particular baud rate to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals at a variable rate,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 fourth means responsive to the signals from the third means for providing a first closed loop servo with the third means for adjusting the operation of the first means to a rate having a particular relationship to the particular baud rate, and  
 fifth means responsive to the signals from the third means for providing a second closed loop servo with the third means for locking the phases of the pair of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the transmitter,  
 the fourth means including a first digital-to-analog converter for converting the digital signals from the third means to corresponding analog signals for adjusting the operation of the first means to a rate having the particular relationship to the particular baud rate, and  
 the fifth means including a second digital-to-analog converter for converting the digital signals from the third means to corresponding analog signals for locking the phases of the pair of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the coaxial cable.  
 
     
     
       25. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data at a particular baud rate to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals at a variable rate,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 fourth means responsive to the signals from the third means for providing a first closed loop servo with the third means for adjusting the operation of the first means to a rate having a particular relationship to the particular baud rate, and  
 fifth means responsive to the signals from the third means for providing a second closed loop servo with the third means for locking the phases of the pair of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the transmitter,  
 the quadrature amplitude modulated analog signals in the coaxial cable including carrier signals at a particular frequency, and  
 sixth means for providing signals having a variable frequency, and  
 seventh means responsive to the pair of the digital signals from the third means and to the carrier signals at the first particular frequency for varying the frequency of the signals from the sixth means to obtain, upon a mixture of the signals from the sixth means and the carrier signals, intermediate frequency signals having a second particular frequency.  
 
     
     
       26. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data at a particular carrier frequency to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 fourth means responsive to the signals from the third means for providing a first closed loop with the third means for locking the phases of the pair of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 fifth means for providing signals having a variable frequency, and  
 sixth means responsive to the signals from the third means for providing a second closed loop with the third means for varying the frequency of the signals from the fifth means to obtain, upon a mixture of the signals at the carrier frequency and the signals having the variable frequency, intermediate frequency signals having a particular frequency.  
 
     
     
       27. In a combination as set forth in  claim 26 ,
 means responsive to the analog signals from the first means for regulating the amplitude of the analog signals.  
 
     
     
       28. In a combination as set forth in  claim 26 ,
 the third means including seventh means for derotating the digital signals in the pair and further including eighth means for equalizing the derotated digital signals in the pair from the seventh means.  
 
     
     
       29. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data at a particular carrier frequency to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 fourth means responsive to the signals from the third means for providing a first closed loop with the third means for locking the phases of the pair of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 fifth means for providing signals having a variable frequency, and  
 sixth means responsive to the signals from the third means for providing a second closed loop with the third means for varying the frequency of the signals from the fifth means to obtain, upon a mixture of the signals at the carrier frequency and the signals having the variable frequency, intermediate frequency signals having a particular frequency,  
 the fourth means including a first digital-to-analog converter for converting the pair of the digital signals from the third means to corresponding analog signals for adjusting the operation of the third means to lock the phases of the pair of the digital signals from the third means to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the sixth means including a second digital-to-analog converter for converting the digital signals from the third means to corresponding analog signals for locking the frequency of the signals from the fifth means relative to the carrier frequency for obtaining the intermediate frequency signals with a particular frequency.  
 
     
     
       30. In a combination as set forth in  claim 29 ,
 seventh means responsive to the analog signals from the first means for regulating the amplitude of the analog signals, and  
 the third means including eighth means for derotating the digital signals in the pair and further including ninth means for equalizing the derotated digital signals in the pair from the eighth means.  
 
     
     
       31. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair, and  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable, the third means including a feed forward equalizer and a decision feedback equalizer, the decision feedback equalizer including a pair of slicers each operable on an individual one of the digital signals in the pair to slice the digital signals into the closest of a number of binary values, the number being progressively increased with time.  
 
     
     
       32. In a combination as set forth in  claim 31 ,
 the decision feedback equalizer having an output connected to the feed forward equalizer to control the operation of the feed forward equalizer in accordance with the operation of the decision feedback equalizer.  
 
     
     
       33. In a combination as set forth in  claim 31 ,
 the pair of the slicers constituting a first pair, each of the slicers in the first pair being operable on an individual one of the digital signals in the pair to slice the digital signals into the closest of a number of binary values and the third means including a second pair of slicers each operative to progressively increase the number of the binary values with time.  
 
     
     
       34. In a combination as set forth in  claim 31 ,
 the feed forward equalizer being operative to correct for distortions in a leading portion of the digital signals in the pair and the decision feedback analyzer being operative to correct for distortions in a trailing portion of the digital signals in the pair.  
 
     
     
       35. In a combination as set forth in  claim 34 ,
 the output of the decision feedback equalizer being introduced to the feed forward equalizer to enhance the operation of the feed forward equalizer,  
 the feed forward equalizer being operative to correct for distortions in a leading portion of the digital signals in the pair and the decision feedback analyzer being operative to correct for distortions in a trailing portion of the digital signals in the pair.  
 
     
     
       36. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair, and  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable, the third means including a feed forward equalizer and a decision feedback equalizer, the decision feedback equalizer including a first pair of slicers each operable on an individual one of the digital signals in the pair to slice the digital signals into the closest of a number of binary values, the number being progressively increased with time,  
 the decision feedback equalizer having an output connected to the feed forward equalizer to control the operation of the feed forward equalizer in accordance with the operation of the decision feedback equalizer,  
 a second pair of slicers,  
 the third means including a pair of adders each operative to receive the output of the decision feedback equalizer and the output of the feed forward equalizer and each operative to introduce its output to an individual one of the slicers in the second pair.  
 
     
     
       37. In a combination as set forth in  claim 36 ,
 means responsive to the output from the third means for feeding the output back to the third means to facilitate the adjustment of the amplitudes and phases of the digital signals in the pair to conform to the amplitudes and phases of the quadrature amplitude modulated signals in the transmitter.  
 
     
     
       38. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortion in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the third means including fourth means for derotating the phases of the digital signals in the pair and including fifth means for providing a feed forward equalization of the derotated digital signals in the pair and including sixth means for providing a decision feedback equalization of the signals from the fifth means,  
 the fifth means and the sixth means being connected in an asymmetrical relationship.  
 
     
     
       39. In a combination as set forth in  claim 38 ,
 means for feeding the signals from the sixth means back to the fifth means to enhance the feed forward equalization provided by the fifth means.  
 
     
     
       40. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortion in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the third means including fourth means for derotating the phases of the digital signals in the pair and including fifth means for providing a feed forward equalization of the derotated digital signals in the pair and including sixth means for providing a decision feedback equalization of the signals from the fifth means,  
 the decision feedback equalizer including a pair of slicers each operable on an individual one of the digital signals in the pair to slice the digital signals into the closest of a number of binary values, the number being progressively increased with time.  
 
     
     
       41. In a combination as set forth in  claim 40 ,
 a pair of adders each operatively coupled to the feed forward equalizer and the decision feedback equalizer to operate upon one of the digital signals in the pair, and  
 a pair of additional slicers each operatively coupled to an individual one of the adders in the pair to provide an output of one of the digital signals in the pair without the noise and distortion in the coaxial cable.  
 
     
     
       42. In a combination as set forth in  claim 41 ,
 the feed forward equalizer and the decision feedback equalizer being connected in a symmetrical relationship with each individual one of the adders, the slicers and the additional slicers relative to the connection of the feed forward equalizer and the decision feedback analyzer with the other one of the adders, the slicers and the additional slicers, and  
 means for feeding the signals from the fifth means back to the fifth means to enhance the feed forward equalization provided by the fifth means.  
 
     
     
       43. In a combination as set forth in  claim 40 ,
 seventh means for feeding the signals from the sixth means back to the fifth means to enhance the feed forward equalization provided by the fifth means.  
 
     
     
       44. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortion in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the third means including fourth means for derotating the phases of the digital signals in the pair and including fifth means for equalizing the derotated digital signals in the pair, and  
 fifth means responsive to the derotated digital signals in the pair and to the equalized digital signals in the pair for operating upon the fourth means to facilitate the derotation of the digital signals in the pair by the fourth means.  
 
     
     
       45. In a combination as set forth in  claim 44 ,
 means for providing an automatic gain control of the digital signals from the second means.  
 
     
     
       46. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortion in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the third means including fourth means for derotating the phases of the digital signals in the pair and including fifth means for equalizing the derotated digital signals in the pair,  
 the quadrature amplitude modulated signals in the coaxial cable having a particular baud rate, and  
 means responsive to the derotated digital signals and to the equalized digital signals for operating upon the first means to obtain the conversion of the analog signals to the digital signals at a rate having a particular relationship to the particular baud rate.  
 
     
     
       47. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortion in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the third means including fourth means for derotating the phases of the digital signals in the pair and including fifth means for equalizing the derotated digital signals in the pair,  
 the signals in the coaxial cable including carrier signals with a particular carrier frequency, and  
 an oscillator having a variable frequency, and  
 means responsive to the derotated digital signals and the equalized digital signals for varying the frequency of the oscillator to provide, upon a mixing of the analog signals and the signals from the oscillator, intermediate frequency signals having a particular frequency.  
 
     
     
       48. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the third means including a derotator and an equalizer, the equalizer including a feed forward equalizer and a decision feedback equalizer, and  
 servo means responsive to the outputs of the derotator and the equalizer for adjusting the operation of the derotator and the equalizer to adjust the phases of the digital signals in the pair from the third means to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable.  
 
     
     
       49. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the third means including a derotator, a feed forward equalizer and a decision feedback equalizer,  
 means responsive initially to the outputs of the derotator and the decision feedback equalizer, and subsequently to signals from the feed forward equalizer and the decision feedback analyzer, for operating upon the derotator to facilitate the derotation of the phases of the digital signals in the pair in phase with the quadrature amplitude modulated signals in the coaxial cable.  
 
     
     
       50. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the third means including a derotator, a feed forward equalizer and a decision feedback equalizer,  
 the quadrature amplitude modulated signals in the coaxial cable having a particular baud rate, and  
 servo means responsive to the outputs of the derotator and the decision feedback equalizer for operating upon the first means to obtain the conversion of the analog signals to the digital signals at a rate having a particular relationship to the particular baud rate.  
 
     
     
       51. In a combination as set forth in  claim 50 ,
 the servo means being initially responsive to the outputs of the derotator and the decision feedback equalizer, and being subsequently responsive to the outputs of the feed forward equalizer and the decision feedback equalizer, for operating upon the first means to obtain the conversion of the analog signals to the digital signals at a rate having a particular relationship to the particular baud rate.  
 
     
     
       52. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the coaxial cable,  
 the third means including a derotator, a feed forward equalizer and a decision feedback equalizer,  
 the signals in the coaxial cable including carrier signals with a particular carrier frequency,  
 an oscillator having a variable frequency, and  
 means responsive initially to the outputs of the derotator and the decision feedback equalizer, and subsequently to the outputs of the feed forward equalizer and the decision feedback equalizer, for varying the frequency of the oscillator to obtain, upon a mixing of the carrier signals and the signals from the oscillator, intermediate frequency signals having a particular frequency.  
 
     
     
       53. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulation data to recover the quadrature amplitude modulated data from noise and distortion in the coaxial cable,
 first means for converting the analog signals in the coaxial cable to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated data to the coaxial cable,  
 the third means including a feed forward equalizer and a decision feedback equalizer and means for combining the outputs of the feed forward equalizer and the decision feedback equalizer to obtain resultant decisions and including means for providing progressive slicings of the resultant decisions to obtain the quadrature amplitude modulated data free from noise and distortions,  
 the number of the levels in each progressive slicing being greater than the number of the levels in the preceding slicings and the successive levels in each progressive slicing being closer together than the successive levels in the preceding slicings.  
 
     
     
       54. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulation data to recover the quadrature amplitude modulated data from noise and distortion in the coaxial cable,
 first means for converting the analog signals in the coaxial cable to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated data in the coaxial cable,  
 the third means including a feed forward equalizer and a decision feedback equalizer and means for combining the outputs of the feed forward equalizer and the decision feedback equalizer to obtain resultant decisions and including means for slicing the resultant decisions to obtain the quadrature amplitude modulated data free from noise and distortions,  
 the decision feedback equalizer including an additional slicer connected to receive the output of the combining means and to provide, at progressive instants of time, binary outputs of progressive sensitivity and including means for determining any difference between the output of the combining means and the binary outputs of progressive sensitivity and including means for introducing the difference determinations to the feed forward equalizer and decision feedback equalizer to enhance the equalizing operation of the feed forward equalizer and the decision feedback equalizer.  
 
     
     
       55. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulation data to recover the quadrature amplitude modulated data from noise and distortion in the coaxial cable,
 first means for converting the analog signals in the coaxial cable to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated data in the coaxial cable,  
 the third means including a feed forward equalizer and a decision feedback equalizer and means for combining the outputs of the feed forward equalizer and the decision feedback equalizer to obtain resultant decisions and including means for slicing the resultant decisions to obtain the quadrature amplitude modulated data free from noise and distortions,  
 control means responsive to the outputs of the feed forward equalizer and the decision feedback equalizer for providing a closed loop servo in the third means to enhance the operation of the third means in producing the quadrature amplitude modulated data without noise and distortions.  
 
     
     
       56. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulation data to recover the quadrature amplitude modulated data from noise and distortion in the coaxial cable,
 first means for converting the analog signals in the coaxial cable to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated data in the coaxial line,  
 the third means including a feed forward equalizer and a decision feedback equalizer and means for combining the outputs of the feed forward equalizer and the decision feedback equalizer to obtain resultant decisions and including means for slicing the resultant decisions to obtain the quadrature amplitude modulated data free from noise and distortions,  
 the quadrature amplitude modulated signals in the coaxial cable occurring at a particular baud rate, and  
 means responsive to the outputs of the third means and the slicing means for providing a closed loop servo to provide for the operation of the first means in converting the analog signals to the digital signals at a rate having a particular relationship to the particular baud rate.  
 
     
     
       57. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulation data to recover the quadrature amplitude modulated data from noise and distortion in the coaxial cable,
 first means for converting analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated data in the coaxial line,  
 the third means including a feed forward equalizer and a decision feedback equalizer and means for combining the outputs of the feed forward equalizer and the decision feedback equalizer to obtain resultant decisions and including means for slicing the resultant decisions to obtain the quadrature amplitude modulated data free from noise and distortions,  
 the quadrature amplitude modulated signals in the coaxial cable having a particular carrier frequency, and  
 an oscillator having a variable frequency, and  
 means responsive to the outputs of the feed forward equalizer and the decision feedback equalizer for varying the frequency of the oscillator to provide, upon a mixing of the signals at the particular carrier frequency and the oscillator signals, intermediate frequency signals having a particular frequency,  
 the first means being operative to convert to the digital signals the intermediate frequency signals having the particular frequency.  
 
     
     
       58. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 first means for converting the analog signals to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for derotating the phases of the digital signals in the pair, and  
 fourth means including first and second paths each responsive to an individual one of the derotated digital signals in the pair from the third means in a symmetrical relationship with the other one of the derotated signals in the pair for equalizing the derotated digital signals in the pair.  
 
     
     
       59. In a combination as set forth in  claim 58 ,
 means responsive to the signals from the third means and the equalized signals from the fourth means for providing a closed loop servo for facilitating the derotation by the third means of the digital signals in the pair.  
 
     
     
       60. In a combination as set forth in  claim 58 ,
 the quadrature amplitude modulated signals in the coaxial cable having a particular baud rate, and  
 means responsive to the signals from the third means and the equalized signals from the fourth means for providing a closed loop servo for providing for the operation of the first means at a rate having a particular relationship to the particular baud rate in converting the analog signals in the coaxial cable to the corresponding digital signals.  
 
     
     
       61. In a combination as set forth in  claim 58 ,
 the quadrature amplitude modulated signals in the coaxial cable having a particular carrier frequency,  
 an oscillator having a variable carrier frequency, and  
 means responsive to the signals from the third means and the equalized signals from the fourth means for providing a closed loop servo for maintaining the operation of the oscillator in producing analog signals at a frequency related to the particular carrier frequency,  
 the oscillator being responsive to the analog signals in the coaxial cable before the operation of the first means in converting the analog signals in the receiver to the corresponding digital signals and the first means being operative to convert, to the corresponding digital signals, the analog signals at the frequency related to the particular carrier frequency.  
 
     
     
       62. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the coaxial cable,
 there being a plurality of stations each providing an individual carrier frequency for the analog signals from such station and each providing quadrature amplitude modulated signals in the coaxial cable,  
 first means for converting the analog signals at the individual carrier frequency for each of the stations to analog signals at a particular intermediate frequency,  
 second means for converting the analog signals at the particular intermediate frequency to corresponding digital signals,  
 third means for operating upon the digital signals from the second means to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 fourth means for adjusting the phases of the digital signals in the pair to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable, and  
 fifth means responsive to the output from the third means for providing a closed loop servo with the fourth means for facilitating the recovery of the quadrature amplitude modulated data from the noise and distortions in the coaxial cable,  
 the fifth means initially having a first response for a first period of time after switching from a first one of the stations in the plurality to a second one of the stations in the plurality to facilitate the recovery of the analog signals at the particular intermediate frequency from the carrier frequency of the second one of the stations in the plurality and subsequently having a second response after the first period of time to facilitate the recovery of the quadrature amplitude modulated data for the second one of the stations in the plurality from the noise and distortions in the coaxial cable.  
 
     
     
       63. In a combination as set forth in  claim 62 ,
 the fifth means including means for converting the digital indications from the fourth means to analog signals for facilitating the recovery of the quadrature amplitude modulated data for the second one of the stations in the plurality from the noise and distortions in the coaxial cable.  
 
     
     
       64. In a combination as set forth in  claim 62 ,
 the fifth means including sixth means responsive to the digital signals from the fourth means for adjusting the phases of the digital signals in the pair to facilitate the recovery of the quadrature amplitude modulated data for the second one of the stations in the plurality from the noise and distortions in the coaxial cable.  
 
     
     
       65. In a combination as set forth in  claim 62 ,
 sixth means operatively coupled to the fourth means and the fifth means and operative in a closed loop servo for maintaining at the particular intermediate frequency the analog signals from the first means.  
 
     
     
       66. In a combination as set forth in  claim 65 ,
 the analog signals at the particular intermediate frequency being sampled at a rate having a particular relationship to the particular baud rate,  
 the fifth means being responsive to the digital signals from the third means for adjusting, to a particular rate, the operation of the first means in converting the analog signals to the digital signals.  
 
     
     
       67. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable,
 first means for converting the analog signals in the coaxial cable to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable,  
 the third means including a feed forward equalizer and a decision feedback analyzer,  
 the third means including slicer means operative upon the digital signals in individual ones of the pairs to conform such digital signals to the closest of the individual ones of a plurality of different levels, the slicer means being operative at successive periods of time to provide progressive numbers of levels in the plurality for conforming such digital signals,  
 fourth means responsive to the outputs of the feed forward equalizer and the decision feedback equalizer and the slicer means for producing an error signal, and  
 fifth means for feeding the error signal back to the feed forward equalizer and the decision feedback equalizer for adjusting the operation of the feed forward equalizer and decision feedback equalizer in accordance with such error signal.  
 
     
     
       68. In a combination as set forth in  claim 67 ,
 the analog signals occurring at a particular baud rate, and  
 means responsive to the quadrature amplitude modulated data in the third means and the quadrature amplitude modulated data from the additional slicer means for controlling the operation of the first means to provide for the conversion of the analog signals to the digital signals at a rate having a particular relationship to the particular baud rate.  
 
     
     
       69. In combination for operating upon analog signals transmitted through a coaxial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable,
 first means for converting the analog signals in the coaxial cable to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable,  
 the third means including a feed forward equalizer and a decision feedback equalizer,  
 the third means including slicer means operative upon the digital signals in individual ones of the pairs to conform the amplitudes of such digital signals to the closest of individual ones of a plurality of different levels, the slicer means being operative at successive periods of time to provide progressive numbers of levels in the plurality for conforming the amplitudes of such digital signals,  
 means responsive to the outputs of the feed forward equalizer and the decision feedback equalizer and the slicer means for producing an error signal, and  
 means for feeding the error signal back to the feed forward equalizer and the decision feedback equalizer for adjusting the operation of the feed forward equalizer and the decision feedback equalizer to minimize such error signal.  
 
     
     
       70. In a combination as set forth in  claim 69 ,
 means responsive to the outputs of the decision feedback equalizer and the slicer means for combining such outputs, and  
 a pair of additional slicer means each responsive to the combined outputs of the decision feedback equalizer and the slicer means for providing the quadrature amplitude modulated data without the noise and distortions in the coaxial cable.  
 
     
     
       71. In a combination as set forth in  claim 70 ,
 means responsive to the quadrature amplitude modulated data in the third means and the quadrature amplitude modulated data from the additional slicer means for feeding signals back to the third means to facilitate the recovery of the quadrature amplitude modulated data by the third means.  
 
     
     
       72. In a combination as set forth in  claim 70 ,
 there being a carrier signal at a particular frequency for the quadrature amplitude modulated signals in the coaxial cable,  
 an oscillator having a variable frequency, and  
 means responsive to the quadrature amplitude modulated data in the third means and the quadrature amplitude modulated data from the additional slicer means for varying the frequency of the oscillator to obtain, from a mixing of the carrier signal and the signal from the local oscillator, an intermediate frequency signal having a particular frequency.  
 
     
     
       73. In combination for operating upon analog signals transmitted through a cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable,
 there being a plurality of stations each having an individual carrier frequency and each providing quadrature amplitude modulated signals in the coaxial cable,  
 first means for converting the analog signals in the coaxial cable to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable, and  
 fourth means responsive to the indications from the first means for regulating the gain of the analog signals before the conversion of the analog signals to the digital signals by the first means, the fourth means having a first response for a first period of time after switching from a first one of the stations in the plurality to a second one of the stations in the plurality and subsequently having a second response after the first period of time to facilitate the recovery of the quadrature amplitude modulated data for the second one of the stations in the plurality from the noise and distortions in the coaxial cable.  
 
     
     
       74. In a combination as set forth in  claim 73 ,
 the fourth means including means for converting the digital indications from the first means to analog indications for regulating the gain of the analog signals in the coaxial cable.  
 
     
     
       75. In a combination as set forth in  claim 73 ,
 the analog signals having a particular baud rate, and  
 means for regulating the rate of conversion by the first means of the analog signals to the digital signals to correspond to a rate having a particular relationship to the baud rate of the analog signals.  
 
     
     
       76. In a combination as set forth in  claim 73 ,
 the analog signals having a particular carrier frequency,  
 the oscillator having a variable frequency,  
 fifth means for mixing the signals from the oscillator with the analog signals in the coaxial cable before the conversion of the analog signals to the digital signals by the first means to obtain analog signals at an intermediate frequency, and  
 sixth means for regulating the variable frequency of the oscillator to maintain the analog signals from the fifth means at the particular intermediate frequency,  
 the first means being operative to convert the analog signals at the particular intermediate frequency to the corresponding digital signals.  
 
     
     
       77. In combination for operating upon analog signals transmitted through a cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable,
 there being a plurality of stations each having an individual carrier frequency and each providing quadrature amplitude modulated signals in the coaxial cable,  
 first means for converting the analog signals in the coaxial cable to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable, and  
 fourth means responsive to the indications from the first means for regulating the gain of the analog signals before the conversion of the analog signals to the digital signals by the first means, the fourth means having a first response for a first period of time after switching from a first one of the stations in the plurality to a second one of the stations in the plurality and subsequently having a second response after the first period of time to facilitate the recovery of the quadrature amplitude modulated data for the second one of the stations in the plurality from the noise and distortions in the coaxial cable,  
 the fourth means being responsive to every digital conversion by the first means for the first period of time and being responsive to every nth conversion by the first means after the first period of time where n is an integer greater than 1.  
 
     
     
       78. In combination for acting upon analog signals transmitted through a cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable,
 first means for converting the analog signals in the coaxial cable to corresponding digital signals,  
 second means for operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship with the other of the digital signals in the pair,  
 third means for adjusting the phases of the digital signals in the pair to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable,  
 the third means including a feed forward equalizer and a decision feedback equalizer connected to receive the output of the feed forward equalizer and including means for feeding the output of the decision feedback equalizer to the feed forward equalizer to regulate the operation of the feed forward equalizer in adjusting the amplitudes and phases of the digital signals in the pair to recover the quadrature amplitude modulated data from the noise and distortions in the coaxial cable.  
 
     
     
       79. In a combination as set forth in  claim 78 ,
 means for adding the outputs of the feed forward equalizer and the decision feedback equalizer, and  
 means responsive to the outputs of the adding means for providing the quadrature amplitude modulated data without the noise and distortions in the coaxial cable.  
 
     
     
       80. In a combination as set forth in  claim 78 ,
 the decision feedback equalizer having a pair of slicers each operative to provide outputs of increased sensitivity at progressive instants of time and including means responsive to the outputs of the slicers and the outputs of the decision feedback equalizers for producing error signals for regulating the operation of the feed forward equalizer and decision feedback equalizer.  
 
     
     
       81. In a combination as set forth in  claim 80 ,
 a second pair of slicers responsive to the outputs of the feed forward equalizer and the decision feedback equalizer for combining these outputs to obtain the quadrature amplitude modulated data without the noise and distortions in the coaxial cable.  
 
     
     
       82. An apparatus for operating upon quadrature amplitude modulated data transmitted through a co- axial cable to recover the quadrature amplitude modulated data from noise and distortions in the co - axial cable, the apparatus comprising:      an analog to digital converter that is operative to convert an incoming analog signal to a corresponding digital signal;        a pair of multipliers that operate upon the digital signal to provide a pair of digital signals, one of the digital signals in the pair having a quadrature phase relationship relative to the other digital signal;        a phase derotator that operates upon the respective digital signals by multiplying said signals by trigonometric functions; and        an equalizer that performs equalization upon the derotated digital signals from the phase derotator, wherein the equalizer comprises a feed forward equalizer, a decision feedback equalizer, and a pair of slicers operative to provide approximations of the respective incoming signals.     
     
     
       83. The apparatus of  claim 82 , and further including:
   a feedback control loop that is responsive to at least one of the derotated digital signals from the phase derotator and the equalized signals from the equalizer to control the phase derotator to adjust the phases of the digital signals output by the phase derotator.     
     
     
       84. The apparatus of  claim 83 , wherein the feedback control loop includes a phase detector that receives the outputs from at least one of the phase derotator and the slicers to detect the phase errors in the signals relative to an ideal QAM constellation. 
     
     
       85. The apparatus of  claim 84 , wherein the phase detector receives the outputs from both the phase derotator and the slicers. 
     
     
       86. The apparatus of  claim 82 , wherein the quadrature amplitude modulated signals in the cable have a particular baud rate and the analog to digital converter is operative to produce the digital signals at a selected rate related to the particular baud rate, and further including a feedback control loop that is responsive to at least one of the derotated digital signals from the phase derotator and the equalized digital signals from the equalizer for maintaining the production of the digital signals at the selected baud rate. 
     
     
       87. The apparatus of  claim 82 , further including a feedback control loop that is responsive to the digital signals from the analog to digital converter for regulating the gain of the analog to digital converter. 
     
     
       88. The apparatus of  claim 82 , wherein the slicers are each operable on an individual one of the digital signals in the equalizer to convert the digital signals into the closest of a number of generated binary values. 
     
     
       89. The apparatus of  claim 88 , wherein the slicers are operative to convert the digital signals into the closest of a progressively increasing number of generated binary values. 
     
     
       90. The apparatus of  claim 82 , wherein the analog signals in the co- axial cable are provided at a variable carrier frequency, and further including an oscillator and a mixer that are operative to convert the analog signals into signals at an intermediate frequency, and wherein the analog to digital converter is operative on the intermediate frequency analog signals to convert said intermediate frequency analog signals to the digital signals.   
     
     
       91. The apparatus of  claim 90 , further including a feedback control loop that is responsive to the derotated digital signals from the phase derotator and the digital signals from the slicers for maintaining the intermediate frequency signals at a particular frequency. 
     
     
       92. The apparatus of  claim 82 , where the feed forward equalizer is operative to receive the derotated digital signals from the phase derotator and to output a pair of filtered signals. 
     
     
       93. The apparatus of  claim 82 , wherein the decision feedback equalizer is connected to the respective slicers and to the feed forward equalizer, and wherein the decision feedback equalizer provides feedback to the feed forward equalizer in response to the signals from the respective slicers. 
     
     
       94. The apparatus of  claim 82 , further including a pair of adders that are operative to add the outputs of the feed forward equalizer and decision feedback equalizer, and to provide the combined signals to the respective slicers. 
     
     
       95. The apparatus of  claim 82 , wherein the equalizer defines a pair of symmetrical stages between the feed forward equalizer and the decision feedback equalizer. 
     
     
       96. The apparatus of  claim 95 , further including a pair of dividers to divide the baud rates of the respective signals from the feed forward equalizer by a predetermined factor. 
     
     
       97. The apparatus of  claim 82 , wherein the decision feedback equalizer includes a slicer to provide amplitude approximations based on the incoming signal. 
     
     
       98. The apparatus of  claim 97 , wherein the slicer of the decision feedback equalizer is operative to slice the digital signal into the closest of a progressively increasing number of generated binary values. 
     
     
       99. The apparatus of  claim 82 , wherein the feed forward equalizer corrects for distortions in the left half of a composite signal, and the decision feedback equalizer corrects for distortions in the right half of the composite signal. 
     
     
       100. The apparatus of  claim 82 , wherein the feed forward equalizer is operative in one of a T- spaced function and a T/ 2   - spaced function.   
     
     
       101. The apparatus of  claim 94 , further including a stage that computes the difference between a slicer in the decision feedback equalizer and one of the adders, and that provides such difference to the feed forward equalizer and to the decision feedback equalizer in the form of an error signal. 
     
     
       102. The apparatus of  claim 82 , wherein the trigonometric functions have a sampling frequency corresponding to the frequency of the digital signals introduced to the phase derotator. 
     
     
       103. A method of operating upon analog signals transmitted through a co- axial cable using quadrature amplitude modulated data to recover the quadrature amplitude modulated data from noise and distortions in the co - axial cable, comprising:      converting the analog signals to digital signals,        operating upon the digital signals to provide a pair of digital signals, such that one of the digital signals in the pair has a quadrature phase relationship with respect to the other digital signal in the pair,        adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the cable,        equalizing symmetrically each of the phase - adjusted digital signals, and        performing a slicing function to convert the respective phase - adjusted digital signals into approximated values.     
     
     
       104. A method as set forth in  claim 103 , further including:
   converting the analog signals to analog signals at an intermediate frequency before the conversion of the analog signals to the digital signals, and        using the digital signals with the adjusted phases to regulate the intermediate frequency of the analog signals.     
     
     
       105. The method of  claim 103 , wherein the quadrature amplitude modulated signals in the cable have a particular baud rate, and further including using the digital signals with the adjusted phases to adjust the baud rate of the digital signals so that the baud rate of the digital signals is at the particular rate. 
     
     
       106. The method of  claim 103 , wherein performing the slicing function including converting the digital signals to progressively more accurate approximations based on a number of generated binary values. 
     
     
       107. A method of operating upon quadrature amplitude modulated data, transmitted through a co- axial cable as an analog signal, to recover the quadrature amplitude modulated data from noise and distortions in the co - axial cable, comprising:      converting the analog signals to analog signals at a particular intermediate frequency,        converting the analog signals at the particular intermediate frequency to digital signals,        operating upon the digital signals to provide a pair of the digital signals, one of the digital signals in the pair having a quadrature phase relationship to the other digital signal in the pair,        adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the cable, and        using the digital signals with the adjusted phases to maintain the intermediate frequency at the selected frequency.     
     
     
       108. A method as set forth in  claim 107 , including the steps of:
   providing a feed forward equalizer and a decision feedback equalizer,        introducing the digital signals to the feed forward equalizer and the decision feedback equalizer and combining the outputs of the feed forward equalizer and the decision feedback equalizer to produce resultant signals,        slicing the resultant signals to obtain an approximation of the quadrature amplitude modulated data.     
     
     
       109. A method of operating upon quadrature amplitude modulated data, transmitted through a co- axial cable as an analog signal, to recover the quadrature amplitude modulated data from noise and distortions in the co - axial cable, comprising:      converting the analog signal to a digital signal,        operating upon the digital signal to provide a pair of digital signals, wherein one of the digital signals in the pair has a quadrature phase relationship relative to the other digital signal in the pair,        adjusting the phases of the digital signals in the pair to conform to the phases of the quadrature amplitude modulated signals in the cable, and        introducing the phase - adjusted digital signals to feed forward and decision feedback equalizers and to a pair of slicers to obtain an approximation of the digital signals based on the closest of a number of binary values provided by the slicers.     
     
     
       110. A method of operating upon quadrature amplitude modulated data, transmitted through a co- axial cable as an analog signal, to recover the quadrature amplitude modulated data from noise and distortions in the co - axial cable, comprising:      converting the analog signals to digital signals at a particular baud rate,        multiplying the digital signals with trigonometric signals to provide the digital signals with a quadrature phase relationship,        derotating the digital signals with the quadrature phase relationship,        operating upon the derotated digital signals to recover the amplitude modulated data from noise and distortions in the co - axial cable,        operating upon the derotated digital signals and the recovered amplitude modulated data to produce error signals, and        adjusting the rate of the conversion of the analog signals to the digital signals in response to the error signals to regulate the conversion of the analog signals to the digital signals at the particular rate.     
     
     
       111. A method as set forth in  claim 110 , further including:
   adjusting the gain of the analog signals, before the conversion of the analog signals to the digital signals, in response to an error signal to regulate the gain of the analog signals at a particular value.     
     
     
       112. A method as set forth in  claim 110 , further including:
   converting the frequency of the analog signals to an intermediate frequency using an oscillator - generated signal before the conversion of the analog signals to digital signals, and        adjusting the frequency of the oscillator - generated signal in response to an error signal to regulate the intermediate frequency at a particular frequency.     
     
     
       113. An apparatus for operating upon quadrature amplitude modulated data transmitted through a co- axial cable to recover the quadrature amplitude modulated data from noise and distortions in the co - axial cable, the apparatus comprising:      an analog to digital converter that is operative to convert an incoming analog signal to a corresponding digital signal;        a pair of multipliers that operate upon the digital signal to provide a pair of digital signals, one of the digital signals in the pair having a quadrature phase relationship relative to the other digital signal;        a phase derotator that operates upon the respective digital signals to adjust the phases of said signals;        an equalizer that receives the phase - adjusted digital signals from the phase derotator and provides equalization of the digital signals; and        a feedback control loop that is operative to receive signals from the equalizer and phase derotator and to dynamically control at least one of the analog to digital converter and the derotator.     
     
     
       114. The apparatus of  claim 113 , wherein the feedback control loop is responsive to at least one of the signals from the phase derotator and the equalized signals from the equalizer to dynamically control the phase derotator. 
     
     
       115. The apparatus of  claim 113 , wherein the quadrature amplitude modulated signals in the cable have a particular baud rate and the analog to digital converter is operative to produce the digital signals at a rate related to the particular baud rate, and further including a feedback control loop that is responsive to at least one of the derotated digital signals from the phase derotator and the equalized digital signals from the equalizer for maintaining the production of the digital signals at the baud rate related to the particular baud rate. 
     
     
       116. The apparatus of  claim 113 , further including a feedback control loop that is responsive to the digital signals from the analog to digital converter to regulate the gain of the analog to digital converter. 
     
     
       117. The apparatus of  claim 113 , further including a pair of slicers that are each operable on an individual one of the digital signals in the equalizer to convert the digital signals into the closest of a number of generated binary values. 
     
     
       118. The apparatus of  claim 117 , wherein the slicers are operative to convert the digital signals into the closest of a progressively increasing number of generated binary values. 
     
     
       119. The apparatus of  claim 113 , wherein the analog signals in the co- axial cable are provided at a variable carrier frequency, and further including an oscillator and a mixer that are operative to convert the analog signals into signals at an intermediate frequency, and wherein the analog to digital converter is operative on the intermediate frequency analog signals to convert said intermediate frequency analog signals to the digital signals.   
     
     
       120. The apparatus of  claim 119 , further including a feedback control loop that is responsive to at least one of the derotated digital signals from the phase derotator and the digital signals from the slicers to maintain the intermediate frequency signals at a particular frequency. 
     
     
       121. The apparatus of  claim 113 , wherein the feedback control loop is operative to control the sampling rate of the analog to digital converter. 
     
     
       122. The apparatus of  claim 113 , wherein the equalizer includes a decision feedback equalizer that provides feedback within the equalizer. 
     
     
       123. The apparatus of  claim 113 , further including a pair of multipliers that operate upon the digital signal to provide a pair of digital signals, with one of the digital signals in the pair having a quadrature phase relationship relative to the other digital signal. 
     
     
       124. The apparatus of  claim 123 , further including a pair of low pass filters to filter the respective digital signals from the multipliers. 
     
     
       125. The apparatus of  claim 113 , wherein the phase derotator operates upon the respective digital signals by multiplying said signals by a trigonometric function. 
     
     
       126. The apparatus of  claim 117 , wherein the feedback control loop includes a phase detector that receives the outputs from at least one of the phase derotator and the slicers to detect the phase errors in the signals relative to an ideal QAM constellation. 
     
     
       127. The apparatus of  claim 126 , wherein the phase detector receives the outputs from both the phase derotator and the slicers. 
     
     
       128. An equalizer for operating upon in- phase and quadrature signals, the equalizer comprising:      a feed forward equalizer that is operative to receive the signals and to output a pair of filtered signals;        a pair of slicers that are operative on the respective filtered signals to provide approximations of the respective incoming signals on respective output lines; and        a decision feedback equalizer connected to the respective output lines and to the feed forward equalizer, wherein the decision feedback equalizer provides feedback to the feed forward equalizer in response to the signals on the output lines.     
     
     
       129. The equalizer of  claim 128 , further including a pair of adders that are operative to add the outputs of the feed forward equalizer and decision feedback equalizer, and to provide the combined signals to the respective slicers. 
     
     
       130. The equalizer of  claim 129 , wherein the equalizer defines a pair of symmetrical stages between the feed forward equalizer and the decision feedback equalizer. 
     
     
       131. The equalizer of  claim 129 , further including a pair of dividers to divide the baud rates of the respective signals and to introduce the divided signals to the respective adders. 
     
     
       132. The equalizer of  claim 128 , wherein the decision feedback equalizer includes a slicer to provide amplitude approximations based on the incoming signal. 
     
     
       133. The equalizer of  claim 132 , wherein the slicer is operative to convert the digital signal into the closest of a progressively increasing number of generated binary values. 
     
     
       134. The equalizer of  claim 128 , wherein the slicers are each operable on an individual one of the digital signals in the equalizer to convert the digital signals into the closest of a number of generated binary values. 
     
     
       135. The equalizer of  claim 134 , wherein the slicers are operative to convert the digital signals into the closest of a progressively increasing number of generated binary values. 
     
     
       136. The equalizer of  claim 128 , wherein the feed forward equalizer corrects for distortions in the left half of a composite signal, and the decision feedback equalizer corrects for distortion in the right half of the composite signal. 
     
     
       137. The equalizer of  claim 128 , wherein the feed forward equalizer is operative in one of a T- spaced function and a T/ 2   - spaced function.   
     
     
       138. The equalizer of  claim 129 , further including a stage that computes the difference between a slicer in the decision feedback equalizer and one of the adders, and that provides such difference to the feed forward equalizer and to the decision feedback equalizer in the form of an error signal. 
     
     
       139. A method of processing in- phase and quadrature signals, comprising:      passing the in - phase and quadrature signals through a first filtering system to generate a pair of filtered signals;        introducing the filtered in - phase and quadrature signals to respective adders;        introducing the outputs from the adders to respective slicers;        passing the signals output from the respective slicers through a feedback filtering system;        introducing a control signal from the feedback filtering system to the first filtering system; and        introducing the output signals from the feedback filtering system to the respective adders.     
     
     
       140. The method of  claim 139 , wherein the in- phase and quadrature signals are processed by a pair of symmetrical stages between the respective filtering systems.   
     
     
       141. The method of  claim 139 , further including dividing the baud rates of the respective filtered signals by a predetermined factor and introducing the divided signals to the respective adders. 
     
     
       142. The method of  claim 139 , wherein passing the signals through the feedback filtering system comprises passing the signals through a decision feedback equalizer. 
     
     
       143. The method of  claim 142 , wherein passing the signals through the decision feedback equalizer includes introducing the signals to a slicer in the equalizer to provide amplitude approximations based on the incoming signals. 
     
     
       144. The method of  claim 139 , wherein passing the signals through the first filtering system comprises passing the signals through a feed forward equalizer. 
     
     
       145. The method of  claim 139 , wherein the first filtering system corrects for distortions in the left half of a composite signal, and the feedback filtering system corrects for distortions in the right half of the composite signal. 
     
     
       146. The method of  claim 139 , wherein passing the signals through the first filtering system comprises passing the signals through a filtering system that is operative in one of a T- spaced function and a T/ 2   - spaced function.   
     
     
       147. The method of  claim 139 , further including introducing an output from the feedback filtering system and one of the adders to a stage that computes the difference between the signals and provides said difference to the respective filtering systems in the form of an error signal. 
     
     
       148. A method of processing in- phase and quadrature signals, comprising:      filtering the respective signals in a first filtering system;        adding the respective signals in a pair of adders to respective feedback signals;        slicing the combined signals to generate approximations of the signals;        filtering the sliced signals in a feedback filtering system to define the feedback signals introduced to the respective adders; and        controlling the first filtering system with a feedback signal from the feedback filtering system.     
     
     
       149. The method of  claim 148 , wherein the in- phase and quadrature signals are processed by a pair of symmetrical stages between the respective filtering systems.   
     
     
       150. The method of  claim 148 , further including dividing the baud rates of the respective filtered signals by a predetermined factor and introducing the divided signals to the respective adders. 
     
     
       151. The method of  claim 148 , filtering the sliced signals in the feedback filtering system comprises passing the signals through a decision feedback equalizer. 
     
     
       152. The method of  claim 151 , wherein passing the signals through the decision feedback equalizer includes introducing the signals to a slicer in the equalizer to provide amplitude approximations based on the incoming signals. 
     
     
       153. The method of  claim 148 , wherein filtering the signals in the first filtering system comprises passing the signals through a feed forward equalizer. 
     
     
       154. The method of  claim 148 , wherein filtering the signals in the first filtering system corrects for distortions in the left half of a composite signal, and filtering the signals in the feedback filtering system corrects for distortions in the right half of the composite signal. 
     
     
       155. The method of  claim 148 , wherein filtering the signals in the first filtering system comprises passing the signals through a filtering system that is operative in one of a T- spaced function and a T/ 2   - spaced function.   
     
     
       156. The method of  claim 148 , further including introducing an output from the feedback filtering system and one of the adders to a stage that computes the difference between the signals and provides said difference to the respective filtering systems in the form of an error signal.