Fourier transforms. Wavelet Analysis in Geophysics: An Introduction. Wavelet Analysis and Its Applications; Vol. Wavelet Analysis and Its Applications. C edn, Wavelet Analysis and Its Applications, no. C, vol. Foufoula-Georgiou E , Kumar P. In Wavelet Analysis and Its Applications. Wavelet Analysis and Its Applications; C. Wavelet theory combines mathematical elegance and practical utility to an unusual degree. Accordingly, the goal of this book is twofold. On one hand it provides a comprehensive introduction to the mathematical foundation of wavelets.
- An Introduction.
- Wavelet Analysis in Geophysics.
- Wavelet Transforms and Their Applications | iqojekorabyg.tk.
On the other, it explains how to use the wavelet transform in practical applications in signal processing, image processing and digital communications. The underlying theory of the wavelet transform is developed in an extremely clear and comprehensive manner in Chaps. In particular, Chap. Chapter 2 describes the basics of discrete wavelet transforms and multiresolution analysis in the familiar set- ting of linear vector spaces and Fourier series.
Chapter 3 further generalizes these results and explores multiresolution analysis based on orthonormal wavelets in greater detail. Chapter 4 talks about alternative representations such as biorthogonal wavelet bases, and multidimensional wavelets. Chapters 5 and 6 are devoted to practical applications. Chapter 5 provides a detailed treatment of the use of wavelet transforms in signal and image compression. The concepts of transform coding and embedded tree coding are explained in connection with wavelet-based image compression schemes.
A separate section deals with audio coding and wavelet-based audio compression.
Non-decimated Wavelet Transform for a Shift-invariant Analysis
In recent years application of the wavelet transform has almost become synonymous with data compression. Therefore, it is refreshing to see that the authors have abandoned the usual practice and included an extensive chapter on other applications such as denoising, speckle removal, edge detection, object isolation, and image fusion. Chapter 6 also contains applications in digital communications, such as pulse shaping, and discrete wavelet multitone modulation.
Last, but not least, Chap. Enjoy affordable access to over 18 million articles from more than 15, peer-reviewed journals.
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