An Introduction to Wavelet Analysis
Samenvatting
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.
Specificaties
Inhoudsopgave
<P>Part I: Preliminaries</P>
<P>Functions and Convergence</P>
<P>Fourier Series</P>
<P>The Fourier Transform</P>
<P>Signals and Systems</P>
<P>Part II: The Haar System</P>
<P>The Haar System</P>
<P>The Discrete Haar Transform</P>
<P>Part III: Orthonormal Wavelet Bases</P>
<P>Mulitresolution Analysis</P>
<P>The Discrete Wavelet Transform</P>
<P>Smooth, Compactly Supported Wavelets</P>
<P>Part IV: Other Wavelet Constructions</P>
<P>Biorthogonal Wavelets</P>
<P>Wavelet Packets</P>
<P>Part V: Applications</P>
<P>Image Compression</P>
<P>Integral Operators</P>
<P>Appendix A: Review of Advanced Calculus and Linear Algebra</P>
<P>Appendix B: Excursions in Wavelet Theory</P>
<P>Appendix C: References Cited in the Text</P>
<P>Index</P>