Patent ID: 8005221

Claim:
A method for coherently demodulating a chaotic sequence spread spectrum signal at a receiver circuit within a communications system, comprising: receiving, by said receiver circuit of said communications system, a chaotic sequence spread spectrum signal including a plurality of information symbols; generating, by said receiver circuit, a first string of discrete time chaotic samples by selecting a plurality of polynomial equations; using residue number system (RNS) arithmetic operations to respectively determine a plurality of solutions for said plurality of polynomial equations, said plurality of solutions iteratively computed and expressed as RNS residue values; determining a series of digits in a weighted number system based on said plurality of RNS residue values; and processing, by said receiver circuit, said chaotic sequence spread spectrum signal to identify a time offset and a frequency offset relative to said first string of discrete time chaotic samples, each of said discrete time chaotic samples having a shorter sample time interval than a duration of said plurality of information symbols.