Correlation and spectral properties of chaotic signals generated by a piecewise-linear map with multiple segments

In recent decades, many studies with practical applications of chaotic signals in telecommunications and signal processing have been carried out. Although spectral analysis is of relevance in these areas, there are few analytical results concerning the spectral characterization of chaotic signals. In this work, we deduce analytical expressions for autocorrelation sequence, power spectral density and essential bandwidth of chaotic signals generated by a piecewise-linear map, with multiple segments. We present numerical simulations to confirm the theoretical results.