Statistical aspects of chaotic maps with negative dependence in a communications setting
AJ Lawrance, N Balakrishna - Journal of the Royal Statistical …, 2001 - academic.oup.com
Journal of the Royal Statistical Society Series B: Statistical …, 2001•academic.oup.com
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.
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.
Summary
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.
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