A new text/reference offering a comprehensive and detailed presentation of wavelet theory, principles and methods. It presents basic theory of wavelet bases and transforms without assuming knowledge of advanced mathematics. The book motivates the central ideas of wavelets by discussing Haar series in depth and then presenting a more generalized viewpoint. The material is presented with many examples, exercises and thorough references. An essential text/reference for applied mathematicians, engineers and scientists.

Includes supplementary material: sn.pub/extras

Inhalt

1. Preface, 2. Functions and Convergence, 3. Fourier Series, 4. The Fourier Transform, 5. Signals and Systems, 6. The Haar System, 7. The Discrete Haar Transform, 8. Mulitresolution Analysis, 9. The Discrete Wavelet transform, 10. Smooth, Compactly Supported Wavelets, 11. Biorthogonal Wavelets, 12. Wavelet Packets, 13. Image Compression, 14. Integral Operations; Appendices