Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:B1L-C

Session:

Number:217

Exactly Solvable Chaos as Communication Waveforms

Ned J. Corron,  Jonathan N. Blakely,  

pp.217-220

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.217

PDF download (399.5KB)

Summary:
Recent developments enable the practical and beneficial use of chaos communications by control of symbolic dynamics. The key advance is the discovery of a new class of low-dimensional chaotic oscillators that enable simple encoding and coherent reception. These remarkable oscillators are provably chaotic, exhibit a symbolic dynamics with a generating partition, and admit an exact analytic solution as a linear convolution of symbols and a fixed basis function. For encoding information, the exact solution provides an analytic coding function to facilitate control of the system's symbolic dynamics. For reception, the existence of a fixed basis function enables a simple matched filter receiver for coherently detecting symbols. System performance exceeds other proposed chaos communications methods and approaches the theoretical limit of binary phase-shift keying (BPSK). Consequently the exactly solvable oscillators offer real advantages that justify using chaotic waveforms for high-bandwidth data communications.

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