Statistical aspects of chaotic maps with negative dependence in a communications setting

A. J. Lawrance and N. Balakrishna

Journal of the Royal Statistical Society Series B, 2001, vol. 63, issue 4, 843-853

Abstract: It is shown that a class of tailed shift chaotic maps can be designed with substantial negative dependence, both linear and non‐linear, and that extended Perron–Frobenius theory gives their dependence structure. Using a simplified chaos‐based communication system, it is shown that chaotic spreading sequences with low kurtosis and negative non‐linear mean‐centred quadratic autocorrelations can improve bit‐received accuracy. This quadratic form of non‐linear dependence is investigated and shown to be statistically sensible.

Date: 2001
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