A New Wavelet Modulus Maximum Method for Noise Reduction of Chaotic Signals

According to the different features between chaotic signals and noise, a new noise reduction method is proposed based on wavelet modulus maximum. First, the discrete wavelet transform of chaotic signals is given in this method, then the approximate parts are handled by the singular spectrum analysis in order to lower the containing noise; For the detail parts after the wavelet modulus maximum treatment, the spatial scales correlation is used for the analysis of the wavelet coefficients in different scales in order to reserve the useful signals mixed in noise. The chaotic signals generated by Duffing model and sunspots are respectively applied for simulation analysis, the numerical experiment results confirm the effectiveness of noise reduction for chaotic signals observed.