A. K. Louis, Universitat des Saarlandes, Germany P. Maass,
Universitat Potsdam, Germany A. Rieder, Universitat des Saarlandes,
Germany Wavelets have in recent years brought new approaches to the
areas of analysis and synthesis of signals, a few examples of which
include pattern recognition, data compression, numerical analysis,
quantum field theory and acoustics. In this book the authors take
the reader through both the theory of wavelets and their
applications. Chapter one is devoted to the theoretical background
of the wavelet transform and to some of its properties, moving on
to the discrete transform. The second chapter addresses the
functions of wavelets within mathematics and their construction is
introduced. Finally, chapter three presents a selection of the
broad variety of applications of wavelets, including examples from
signal analysis, quality control, data compression in digital image
processing, the regularlization of ill posed problems and numerical
analysis of boundary value problems. This book provides an
invaluable resource for researchers and professionals in applied
mathematics, particularly in numerical analysis and signal
processing, as well as for engineers and physicists with a strong
mathematical background. Contents Notations Introduction
- The Continuous Wavelet Transform
- The Discrete Wavelet Transform
- Applications of the Wavelet Transform
Appendix The Fourier Transform References Index
General
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