Denoising algorithm for noisy chaotic signal by using wavelet transform: Comprehensive study

Although a significant amount of research has been given to wavelet transform as a denoising technique, little has been done to apply new approach to chaotic noisy signal and most of them have a lack of details and they do not discuss the results on a complete chaotic communication system. In this paper a comprehensive study for a new approach to denoise chaotic signals by using wavelet transform has been studied. A detailed study for Lorenz chaotic signal is applied in order to obtain the optimal denoising parameters including the threshold selection rule, wavelet form, the threshold rescaling methods, and wavelet decomposition level. The validity of this approach is verified by numerical simulations. Moreover, our results can be expanded easily to other chaotic signals.