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There are two traditional wavelet threshold functions: the hard thresholding function and the soft thresholding function.
The hard thresholding algorithm sets wavelet coefficients with absolute values below the threshold to zero, while preserving all coefficients above the threshold unchanged. This method is effective in preserving local features of the signal, such as edges and spikes. However, the hard thresholding function is discontinuous at the threshold , which introduces significant variance and causes oscillations during signal reconstruction.
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IEEE/ICACT20250181 Slide.07
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