MATLAB Implementation of Wavelet Threshold Denoising

In the provided documentation, I have identified two MATLAB implementations related to wavelet threshold denoising. The first program implements a comparative analysis between soft thresholding and hard thresholding denoising methods, where soft thresholding applies continuous shrinkage to wavelet coefficients while hard thresholding uses a binary cutoff approach. The second program conducts experimental comparisons of threshold-based denoising using multi-level wavelet decomposition, implementing algorithms that process wavelet coefficients at different resolution levels through techniques like universal thresholding or minimax thresholding. Both programs employ key MATLAB wavelet functions such as wavedec for decomposition, wthresh for threshold application, and waverec for signal reconstruction. These implementations provide distinct methodological approaches for noise reduction, allowing users to select appropriate techniques based on specific application requirements such as signal-to-noise ratio improvement, feature preservation, or computational efficiency.