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hello welcome to an introduction to the wavelet transform this video will give you a clear understanding of the mathematics of the wavelet transform as well as a clear intuition of how it works and its unique capabilities in signal processing but first ill cover some more basic knowledge before we talk about wavelets so well start with the fourier transform as you may know the fourier transform provides frequency information of a signal that represents its frequencies and their magnitude it does not tell us when in time these frequency components exist so the transform is ideal for stationary signals stationary signals are ones that do not change with time so they have a constant frequency throughout so this fury transform lacks capability to provide frequency information for a localized signal region in time so the short time fourier transform scft was developed to overcome the poor time resolution of the fourier transform what it gives us is a time frequency representation of the s