System and method for communicating information using time-and-frequency-bounded base functions

摘要

Disclosed is a system and method for transmitting and receiving digital data, wherein (1) a receiving mechanism is configured to receive an incoming stream of digital information carried on at least one incoming line; (2) a weighing mechanism is configured to generate respective weighing factors using the digital information; (3) a signal generation mechanism is configured to generate a plurality of smooth Time-and-Frequency-Bounded functions; and (4) a mapping mechanism is coupled to the signal generation mechanism, wherein the mapping mechanism is configured to apply weighing factors generated by the weighing mechanism to a corresponding Time-and-Frequency-Bounded function, and subsequently summing the weighted Time-and-Frequency-Bounded functions to thereby generate a corresponding plurality of Time-and-Frequency-Bounded packets, the plurality of Time-and-Frequency-Bounded packets comprising a Time-and-Frequency-Bounded information stream, and a transmission mechanism transmits the plurality of Time-and-Frequency-Bounded packets over the transmission medium.