On the Power Spectral Density of Chaotic Signals Generated by Skew Tent Maps

Abstract

This paper investigates the characteristics of the Power Spectral Density (PSD) of chaotic orbits generated by skew tent maps. The influence of the Lyapunov exponent on the autocorrelation sequence and on the PSD is evaluated via computational simulations. We conclude that the essential bandwidth of these chaotic signals is strongly related to this exponent and they can be low-pass or high-pass depending on the parameter of the family. These results withstand the usual thought that chaotic signals are always broadband and provide a simple way of generating chaotic sequences with arbitrary bandwidth.