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Proceedings Paper

Pseudo-chaos for direct-sequence spread-spectrum communication
Author(s): Daniel F. Drake; Douglas B. Williams
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Paper Abstract

In this paper, we first demonstrate that the dynamics of the archetypal chaotic system based on the sawtooth map have a natural interpretation as noncausally filtered Bernoulli noise. This result is then extended to introduce an entire family of anticausal filters which can produce chaotic (deterministic) behavior. Finally, replacing the Bernoulli noise source with a feedback shift register and truncating the impulse response of the filters results in pseudo-chaos: colored pseudo-noise. By relying on feedback shift registers, pseudo-chaotic implementations avoid the drawbacks of conventional synthetic chaotic behavior. In fact, pseudo-chaos can produce behavior indistinguishable from true chaos under any finite level of scrutiny. However, as potential spreading codes in direct-sequence spread-spectrum applications, we argue that pseudo-chaotic sequences have few, if any, advantages over other forms of transformed pseudo-noise.

Paper Details

Date Published: 1 December 1995
PDF: 11 pages
Proc. SPIE 2612, Chaotic Circuits for Communication, (1 December 1995); doi: 10.1117/12.227891
Show Author Affiliations
Daniel F. Drake, Georgia Institute of Technology (United States)
Douglas B. Williams, Georgia Institute of Technology (United States)

Published in SPIE Proceedings Vol. 2612:
Chaotic Circuits for Communication
Jaafar M. H. Elmirghani, Editor(s)

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