Signal denoising via median filter & wavelet shrinkage based on heavy-tailed modeling

Heavy-tailed noise has more outliers than Gaussian noise, and traditional wavelet threshold cannot suppress outliers. A new method combining wavelet threshold and median filter is proposed. After suppressing the outliers in signal through median filter, the wavelet threshold is applied and remained noise is removed further. The experimental error analysis shows that the new method can suppress heavy-tailed noise effectively, and it is more robust than classic wavelet threshold