Minimum distance properties of coded modulations based on iterated chaotic maps

In this paper we introduce a method for analyzing the performance of coded modulation schemes based on iterated chaotic maps. In particular, it is known from coding theory that the minimum distance plays an important role, defining the behavior of the error probability performance at sufficiently high signal to noise ratios. We introduce the method and illustrate it for two examples of chaotic maps, the Bernoulli shift map and the tent map. We emphasize that the performance of the map can not be understood by a reasoning in terms of ergodic behavior of the map. The given simulation results confirm the relevance of the minimum distance for describing the performance of such a system.

Published in:
Nonlinear Dynamics of Electronics Systems (NDES 2003), 1, 141-144
Presented at:
Workshop on Nonlinear Dynamics of Electronic Systems (NDES 2003), Scuol, Switzerland, Scuol, Switzerland, May 18-22 2003

 Record created 2004-12-03, last modified 2020-10-28

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