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On the base of the estimator variance analysis we present a classification for a number digital chaos communication schemes and conventional spread spectrum techniques, which allows the qualitative comparison of the behaviour of the systems under the presence of additive white Gaussian noise on the channel. The classification results in a ranking and shows(More)
In this paper the modeling of a signal by a chaotic generator with respect to a specified signal statistic will be considered. To accomplish that, the considered class of n-dimensional piecewise linear Markov generators will first be analyzed analytically, yielding an algebraic expression for the statistical quantity in question. Based on this analytical(More)
This paper demonstrates the application of cumulant equations to the analysis of non-recursive systems with polynomial characteristics, as they are often found in the base-band equivalents of communication systems. The described method leads to an analytical characterization of the systems, which is not known so far for many chaos communication systems. We(More)
In this paper we consider chaotic discrete-time systems which generate polyphase sequences. First we give the definition of infinite polyphase sequences with perfect correlation properties. Then a simple design rule for chaotic generators is derived which guarantees that the generated sequences are perfect. Following this rule we construct families of(More)
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