Wavelet soft threshold, hard threshold and improved threshold digital signal denoising based on Matlab

Wavelet soft threshold, hard threshold and improved threshold digital signal denoising based on Matlab

Digital signals are often affected by various noises in practical applications, such as Gaussian noise, salt and pepper noise, etc. In order to improve the quality and accuracy of the signal, it is often necessary to denoise the signal. Wavelet threshold denoising is a commonly used digital signal denoising method, which achieves noise suppression by utilizing the sparsity of the signal in the wavelet domain. This article will introduce the wavelet soft threshold, hard threshold and improved threshold method based on Matlab, and give the corresponding source code.

  1. Wavelet soft threshold denoising

Wavelet soft threshold denoising is a signal denoising method based on wavelet transform, which achieves signal denoising by performing threshold processing on wavelet coefficients. The soft threshold function is defined as follows:

function y = soft_threshold(x, T)
    y = sign(x) .* max(abs(

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Origin blog.csdn.net/2301_79326254/article/details/132902565