Wavelets and multiscale signal processing
Albert Cohen, Robert D. Ryan
Chapman and Hall/CRC
Since their appearance in mid-1980s, wavelets and, more generally,  multiscale methods have become powerful tools in mathematical analysis and in  applications to numerical analysis and signal processing.  This book is based on  "Ondelettes et Traitement Numerique du Signal" by Albert Cohen.  It has been  translated from French by Robert D. Ryan and extensively updated by both Cohen  and Ryan.  It studies the existing relations between filter banks and wavelet  decompositions and shows how these relations can be exploited in the context of  digital signal processing.    <P>Throughout, the book concentrates on the fundamentals.  It begins with a chapter  on the concept of multiresolution analysis, which contains complete proofs of  the basic results.  The description of filter banks that are related to wavelet  bases is elaborated in both the orthogonal case (Chapter 2), and in the  biorthogonal case (Chapter 4).  The regularity of wavelets, how this is related  to the properties of the filters and the importance of regularity for the  algorithms are the subjects of Chapter 3.  Chapter 5 looks at multiscale  decomposition as it applies to stochastic processing, in particular to signal  and image processing.