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- DescriptionThis book explains the nature and computation of mathematical wavelets, which provide a framework and methods for the analysis and the synthesis of signals, images, and other arrays of data. The material presented here addresses the au- dience of engineers, financiers, scientists, and students looking for explanations of wavelets at the undergraduate level. It requires only a working kwledge or memories of a first course in linear algebra and calculus. The first part of the book answers the following two questions: What are wavelets? Wavelets extend Fourier analysis. How are wavelets computed? Fast transforms compute them. To show the practical significance of wavelets, the book also provides transitions into several applications: analysis (detection of crashes, edges, or other events), compression (reduction of storage), smoothing (attenuation of ise), and syn- thesis (reconstruction after compression or other modification). Such applications include one-dimensional signals (sounds or other time-series), two-dimensional arrays (pictures or maps), and three-dimensional data (spatial diffusion). The ap- plications demonstrated here do t constitute recipes for real implementations, but aim only at clarifying and strengthening the understanding of the mathematics of wavelets.
- Author(s)Yves Nievergelt
- PublisherSpringer-Verlag New York Inc.
- Date of Publication26/02/2014
- Place of PublicationNew York
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Note1 black & white illustrations, biography
- Weight480 g
- Width155 mm
- Height235 mm
- Spine17 mm
- Edition StatementSoftcover reprint of the original 1st ed. 1999
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