Wavelet Analysis
The Scalable Structure of Information
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ISBN-13:
9780387983837
Veröffentl:
1998
Erscheinungsdatum:
18.09.1998
Seiten:
435
Autor:
Howard L Resnikoff
Gewicht:
690 g
Format:
238x159x27 mm
Sprache:
Englisch
Beschreibung:
This text gives a clear introduction to the ideas and methods of wavelet analysis, making concepts understandable by relating them to methods in mathematics and engineering. It shows how to apply wavelet analysis to digital signal processing and presents a wide variety of applications.
Wavelet analysis is a recently developed tool for efficiently representing complex signals (image or data transmissions over telephone witres, for example). This text for upper-level undergraduates or beginning graduate students in engineering or applied mathematics provides a thorough introduction to the subject.
I. The Scalable Structure of Information.- 1 The New Mathematical Engineering.- 2 Good Approximations.- 3 Wavelets: A Positional Notation for Functions.- II Wavelet Theory.- 4 Algebra and Geometry of Wavelet Matrices.- 5 One-Dimensional Wavelet Systems.- 6 Examples of One-Dimensional Wavelet Systems.- 7 Higher-Dimensional Wavelet Systems.- III Wavelet Approximation and Algorithms.- 8 The Mallat Algorithm.- 9 Wavelet Approximation.- 10 Wavelet Calculus and Connection Coefficients.- 11 Multiscale Representation of Geometry.- 12 Wavelet-Galerkin Solutions of Partial Differential Equations.- IV Wavelet Applications.- 14 Modulation and Channel Coding.- References.
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