Details

The terms "smoothing" and "denoising" are sometimes used interchangeably, but students should look at the related Demonstration, Data Smoothing, and ask themselves what the differences are between moving averages and wavelet shrinkage. Are some moving weighted averages just special cases of wavelet shrinkage?

Setting to the universal threshold (about 3.3 for these datasets and noise level) gives the output for the VisuShrink wavelet shrinkage algorithm. For more information on wavelet transformations and applications to denoising, see P. J. Van Fleet, Discrete Wavelet Transformations, Hoboken, NJ: John Wiley & Sons, Inc., 2008.