By Gilbert Strang & Truong Nguyen, ISBN 0-9614088-7-1
This text offers a clear and easy-to-understand introduction to two centralideas: filter banks for discrete signals, and wavelets. The connectionis fully explained - the wavelet is determined by a choice of filter coefficients.All important wavelet properties (e.g., orthogonality or biorthogonality,symmetry, accuracy of approximation, and smoothness) come from specificproperties of the filters. The text shows how to construct those filtersand wavelets using basic methods of linear algebra executed in MATLAB.These methods provide a direct approach to signal and image processingthrough filter banks that iterate on the lowpass filter. Blocking andringing artifacts, as well as MATLAB applications, are analyzed. Manyof the exercises are drawn from the Wavelet Toolbox, which is availablefrom The MathWorks.