Ultra-wideband frequency position modulation using nonlinear compressed sensing

摘要

A Frequency Position Modulation system for encoding signals for transmission. A signal's discrete frequency support is used to represent symbols. The signal can be non-uniformly spread over many GHz of instantaneous bandwidth, resulting in a communications system that is resilient to interference and difficult to intercept. The FPM symbols are recovered using adaptive projections that use an analog polynomial nonlinearity paired with an analog-to-digital converter that is sampling at a rate at that is only a fraction of the instantaneous bandwidth of the signal. In the presence of partial band interference, nonlinearities generated by the transmitter are exploited by the receiver to help unambiguously recover tones that could otherwise be lost. The nonlinearities are generated by driving the power amplifier of the transmitter into saturation to induce distortions at a desired level.

主权项

1. A method for modulating a digital signal for transmission, comprising:
generating a plurality of tones, each tone being centered at a different frequency, generating at least second and third order intermodulation terms by driving the plurality of tones through a power amplifier at a power level that drives the power amplifier into saturation, said tones and said second and third order intermodulation terms being the elements of a frequency position modulation constellation having a plurality of symbols, each symbol comprising said tones and said second and third order intermodulation terms, such that the positions of each of the tones and their associated second and third order intermodulation terms form the symbols of the constellation, with a Hamming distance across the frequency position modulation constellation being greater than the number of tones.