A Wavelet Tour Of Signal Processing by Kathy Mallat

A comprehensive introduction to wavelet theory and its application to signal and image processing, developing the mathematical foundations of multiresolution analysis, continuous and discrete wavelet transforms, and filter-bank algorithms; it covers orthogonal and biorthogonal bases, fast decomposition/reconstruction methods, wavelet packets and time–frequency representations, and demonstrates practical uses such as denoising, compression, and feature extraction.