Advanced undergraduate and beginning graduate students, faculty, researchers and practitioners in signal processing, telecommunications, and computer science, and applied mathematics. It assumes a background of Fourier series and transforms and of linear algebra and matrix methods. This primer presents a well balanced blend of the mathematical theory underlying wavelet techniques and a discussion that gives insight into why wavelets are successful in signal analysis, compression, dection, numerical analysis, and a wide variety of other theoretical and practical applications. It fills a gap in the existing wavelet literature with its unified view of expansions of signals into bases and frames, as well as the use of filter banks as descriptions and algorithms.
Charles Sidney Burrus was an American electrical engineer and the Maxfield and Oshman Professor Emeritus of Electrical and Computer Engineering at Rice University in Houston, Texas. He is widely known for his contributions to digital signal processing, especially FFT algorithms, IIR filter design, and wavelets.