For the problems of traditional wavelet de-noising algorithm in dealing with non-stationary signals will destroy the detail component of signal. Paper proposes an adaptive wavelet de-noising algorithm. First, a simplified mathematical model of wavelet de-noising algorithm was established. Analyze the problem of traditional wavelet de-noising algorithm. Then, an adaptive threshold function mathematical model was established according to the problem of traditional wavelet de-noising algorithm.

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... ermine the parameter by the relationships between different scales of wavelet decomposition of signal and noise. Finally, calculate the optimal threshold of the adaptive threshold function by iterative algorithm. Simulation results show that the adaptive wavelet threshold de-noising algorithm can preserve the original signal details. And adaptive wavelet threshold de-noising algorithm is better than the traditional wavelet de-noising algorithm in the signal to noise ratio, mean square error and so on.