On Statistical Properties of Chaotic Signals Generated by Negative Sawtooth Maps

— In the last few decades, there has been a growing interest in the application of chaotic signals in signal processing and communications. Due to the importance of frequency bandwidth in these fields, the power spectrum of this class of signals generated by some piecewise linear maps have been explored. In this paper, we investigate the statistical properties of chaotic signals generated by particular maps, so-called negative sawtooth maps. Our results reveal that chaotic signals generated from such maps are dominated by high frequencies, and that increasing the number of branches increases the average information; therefore, the chaotic behaviour becomes stronger.