Overview For over a decade now, wavelets have been and continue to be an
evolving subject of intense interest. Their allure in signal processing
is due to many factors, not the least of which is that they offer an
intuitively satisfying view of signals as being composed of little
pieces of wa'ues. Making this concept mathematically precise has
resulted in a deep and sophisticated wavelet theory that has seemingly
limitless applications. This book and its supplementary hands-on
electronic: component are meant to appeal to both students and
professionals. Mathematics and en- gineering students at the
undergraduate and graduate levels will benefit greatly from the
introductory treatment of the subject. Professionals and advanced
students will find the overcomplete approach to signal represen- tation
and processing of great value. In all cases the electronic component of
the proposed work greatly enhances its appeal by providing interactive
numerical illustrations. A main goal is to provide a bridge between the
theory and practice of wavelet-based signal processing. Intended to give
the reader a balanced look at the subject, this book emphasizes both
theoretical and practical issues of wavelet processing. A great deal of
exposition is given in the beginning chapters and is meant to give the
reader a firm understanding of the basics of the discrete and continuous
wavelet transforms and their relationship. Later chapters promote the
idea that overcomplete systems of wavelets are a rich and largely
unexplored area that have demonstrable benefits to offer in many
applications.
