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Signal processing and compression with wavelet packets. (English) Zbl 0818.94005
Byrnes, J. S. (ed.) et al., Wavelets and their applications. Proceedings of the NATO ASI Conference, 16-29 August 1992, Il Ciocco, Italy. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 442, 363-379 (1994).
Summary: Wavelet packets are a versatile collection of functions generalizing the compactly supported wavelets of Daubechies. They are used to analyze and manipulate signals such as sound and images. We describe a library of such waveforms and demonstrate a few of their analytic properties. We also describe an algorithm to chose a best basis subset, tailored to fit a specific signal or class of signals. We apply this algorithm to two signal processing tasks: acoustic signal compression, and feature extraction in certain images.
For the entire collection see [Zbl 0801.00030].

MSC:
94A11 Application of orthogonal and other special functions
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
94A13 Detection theory in information and communication theory
68U10 Computing methodologies for image processing
94A29 Source coding
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