Summary: This new textbook by Gilbert Strang and Truong Nguyen offers a clear and easy-to-understand introduction to two central ideas -- filter banks for discrete signals, and wavelets. The connections are fully explained -- the wavelet is determined by a choice of filter coefficients. All important wavelet properties (orthogonality or biorthogonality, symmetry, accuracy of approximation, and smoothness) come from specific properties of the filters. The text shows how to con ...show morestruct those filters and wavelets.
The applications are very widespread -- and they continue to develop rapidly. The book gives a direct approach to signal processing and image processing through filter banks that iterate on the lowpass filter (this is the wavelet idea). Blocking and ringing artifacts are analyzed, along with many MATLAB applications. Wavelets and Filter Banks is written for the very broad audience that uses these ideas:
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