Pseudo-chaos for direct-sequence spread-spectrum communication

Daniel F. Drake; Douglas B. Williams

doi:10.1117/12.227891

1 December 1995 Pseudo-chaos for direct-sequence spread-spectrum communication

Daniel F. Drake, Douglas B. Williams

Proceedings Volume 2612, Chaotic Circuits for Communication; (1995) https://doi.org/10.1117/12.227891
Event: Photonics East '95, 1995, Philadelphia, PA, United States

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.

Citation Download Citation

Daniel F. Drake and Douglas B. Williams "Pseudo-chaos for direct-sequence spread-spectrum communication", Proc. SPIE 2612, Chaotic Circuits for Communication, (1 December 1995); https://doi.org/10.1117/12.227891

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