An Introduction to Wavelet Analysis (Applied and Numerical Harmonic Analysis Softcover reprint of the original 1st ed. 2004)
By: David F. Walnut (author)Paperback
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This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases. It motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, then shows how a more abstract approach allows readers to generalize and improve upon the Haar series. It then presents a number of variations and extensions of Haar construction.
Preface Part I: Preliminaries Functions and Convergence Fourier Series The Fourier Transform Signals and Systems Part II: The Haar System The Haar System The Discrete Haar Transform Part III: Orthonormal Wavelet Bases Mulitresolution Analysis The Discrete Wavelet Transform Smooth, Compactly Supported Wavelets Part IV: Other Wavelet Constructions Biorthogonal Wavelets Wavelet Packets Part V: Applications Image Compression Integral Operators Appendix A: Review of Advanced Calculus and Linear Algebra Appendix B: Excursions in Wavelet Theory Appendix C: References Cited in the Text Index
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- ID: 9781461265672
Softcover reprint of the original 1st ed. 2004
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