On the relation between chaotic processes generated by family of piecewise linear maps

The last decades have seen a growing interest of chaos application in telecommunications. Due to the importance of frequency bandwidth in telecommunications, spectral properties of chaotic signals have been investigated. In this work, we derive statistical properties of chaotic signals generated by family of piecewise linear maps. Furthermore, we deduce a relation between chaotic processes generated from such maps. Our results reveal that increasing the number of segments accelerates the decay of autocorrelation.