Statistical aspects of chaotic maps with negative dependence in a communications setting
A. J. Lawrance, N. Balakrishna
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 2001 · Volume 63 · Issue 4
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.
Keywords
Chaos, Communications, Electronics, Negative dependence, Perron–Frobenius theory, Quadratic autocorrelations, Shift maps
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