Methods and systems for communicating

Abstract

Methods and systems for communicating are disclosed. A method includes obtaining input communication symbols selected from a set of communication symbols, converting input communication symbols into transmittable waveforms using non-periodic functions, and transmitting transmittable waveforms over a communication channel. Another method includes receiving transmittable waveforms constructed using non-periodic functions and transmitted over a communication channel, and demodulating transmittable waveforms. A system includes a modulator adapted to obtain input communication symbols selected from a set of communication symbols and adapted to convert input communication symbols into transmittable waveforms using non-periodic functions, and a transmitter or transceiver adapted to transmit transmittable waveforms over a communication channel. Another system includes a receiver or transceiver adapted to receive transmittable waveforms transmitted over a communication channel and constructed using non-periodic functions, and a demodulator adapted to demodulate transmittable waveforms.

1 . A method for communicating comprising:
 obtaining one or a plurality of input communication symbols selected from a set of communication symbols;   converting the one or a plurality of input communication symbols into one or a plurality of transmittable waveforms using one or a plurality of non-periodic functions selected from a set of non-periodic functions; and   transmitting the one or a plurality of transmittable waveforms over a communication channel.   
     
     
         2 . The method for communicating of  claim 1 , wherein each non-periodic function in the set of non-periodic functions differs from other non-periodic functions in the set of non-periodic functions by at least one of an amplitude, a phase, a frequency, a time direction, a time shift, a rotational direction, and a growth. 
     
     
         3 . The method for communicating of  claim 1 , wherein at least one of the one or a plurality of input communication symbols and the set of non-periodic functions is obtained from at least one of a modulator, a computer-readable media, a computer, a satellite communication device and a mobile device. 
     
     
         4 . The method for communicating of  claim 1 , wherein one or a plurality of portions of at least one of the one or a plurality of transmittable waveforms corresponds to at least one of the one or a plurality of input communication symbols. 
     
     
         5 . The method for communicating of  claim 1 , wherein the one or a plurality of transmittable waveforms is at least one of generated and transmitted over the communication channel using two-component transmission. 
     
     
         6 . The method for communicating of  claim 5 , wherein the one or a plurality of transmittable waveforms is at least one of generated and transmitted over the communication channel further using intra-symbol time multiplexing. 
     
     
         7 . A method for communicating comprising:
 receiving one or a plurality of transmittable waveforms transmitted over a communication channel; and   demodulating the one or a plurality of transmittable waveforms,   wherein the one or a plurality of transmittable waveforms are constructed using one or a plurality of non-periodic functions selected from a set of non-periodic functions.   
     
     
         8 . The method for communicating of  claim 7 , further comprising communicating one or a plurality of output communication symbols to at least one of a user, a computer-readable media, a computer, a satellite communication device and a mobile device. 
     
     
         9 . The method for communicating of  claim 7 , wherein each non-periodic function in the set of non-periodic functions differs from other non-periodic functions in the set of non-periodic functions by at least one of an amplitude, a phase, a frequency, a time direction, a time shift, a rotational direction, and a growth. 
     
     
         10 . The method for communicating of  claim 7 , wherein one or a plurality of portions of at least one of the one or a plurality of transmittable waveforms corresponds to at least one of one or a plurality of input communication symbols. 
     
     
         11 . The method for communicating of  claim 7 , wherein the one or a plurality of transmittable waveforms is at least one of generated and transmitted over the communication channel using two-component transmission. 
     
     
         12 . The method for communicating of  claim 11 , wherein the one or a plurality of transmittable waveforms is at least one of generated and transmitted over the communication channel further using intra-symbol time multiplexing. 
     
     
         13 . The method for communicating of  claim 7 , wherein at least one of the one or a plurality of transmittable waveforms comprises a head portion and a tail portion, such that the tail portion returns the communication channel to initial conditions. 
     
     
         14 . The method for communicating of  claim 7 , wherein the one or a plurality of transmittable waveforms is received using at least one of a receiver and a transceiver. 
     
     
         15 . A system for communicating comprising:
 a modulator adapted to obtain one or a plurality of input communication symbols selected from a set of communication symbols, and to convert the one or a plurality of input communication symbols into one or a plurality of transmittable waveforms using one or a plurality of non-periodic functions selected from a set of non-periodic functions; and   at least one of a transmitter and a first transceiver adapted to transmit the one or a plurality of transmittable waveforms over a communication channel.   
     
     
         16 . The system for communicating of  claim 15 , wherein each non-periodic function in the set of non-periodic functions differs from other non-periodic functions in the set of non-periodic functions by at least one of an amplitude, a phase, a frequency, a time direction, a time shift, a rotational direction, and a growth. 
     
     
         17 . The system for communicating of  claim 15 , wherein at least one of the one or a plurality of input communication symbols and the set of non-periodic functions is obtained from at least one of a modulator, a computer-readable media, a computer, a satellite communication device and a mobile device. 
     
     
         18 . The system for communicating of  claim 15 , wherein one or a plurality of portions of at least one of the one or a plurality of transmittable waveforms corresponds to at least one of the one or a plurality of input communication symbols. 
     
     
         19 . The system for communicating of  claim 15 , wherein the one or a plurality of transmittable waveforms is at least one of generated and transmitted over the communication channel using two-component transmission. 
     
     
         20 . The system for communicating of  claim 19 , wherein the one or a plurality of transmittable waveforms is at least one of generated and transmitted over the communication channel further using intra-symbol time multiplexing.