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Abstract. Wavelet analysis plays an important role in signal processing because of its good time-frequency locality and multi-resolution analysis performance. Based on wavelet analysis in one-dimensional signal denoising are studied, and the principle of threshold and threshold function of wavelet threshold denoising, the selection of wavelet base, decomposition layers and other related issues, and the relevant numerical experiments with Matlab software.

Abstract. This paper studied the wavelet threshold denoising method for the image, it studied the evaluation of denoising performance standards, the principle of wavelet threshold denoising, threshold function and threshold structure, and it constructed a new threshold function, at last the validity of this method is proved by numerical experiments.