Mathematical Principles of Signal Processing

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Fourier and Wavelet Analysis

ISBN: 0387953388
ISBN 13: 9780387953380
Autor: Bremaud, Pierre
Verlag: Springer Verlag GmbH
Umfang: xii, 270 S., 3 s/w Illustr., 1 s/w Foto, 46 s/w Zeichng.
Erscheinungsdatum: 02.05.2002
Produktform: Gebunden/Hardback
Einband: GEB

Fourier analysis and its modern extension of wavelet analysis provides one of the most useful tools in applied sciences. This text aims to bridge the gap between engineering and mathematics, providing a mathematical introduction to the subject, while emphasizing their uses in signal processing and other applications in communications engineering.

Artikelnummer: 1648714 Kategorie:

Beschreibung

From the reviews: "[.] the interested reader will find in Bremaud's book an invaluable reference because of its coverage, scope and style, as well as of the unified treatment it offers of (signal processing oriented) Fourier and wavelet basics." Mathematical Reviews

Inhaltsverzeichnis

A. FOURIER ANALYSIS IN L1 Fourier Transforms of Stable Signals / Fourier Series of Locally Stable Periodic Signals / Pointwise Convergence of Fourier Series B. SIGNAL PROCESSING Filtering / Sampling / Digital Signal Processing / Subband Coding C. FOURIER ANALYSIS IN L2 Hilbert Spaces / Complete Orthonormal Systems / Fourier Transforms of Finite Energy Signals / Fourier Series of Finite Power Periodic Signals D. WAVELET ANALYSIS The Windowed Fourier Transform / The Wavelet Transform / Wavelet Orthonormal Expansions / Construction of a MRA / Smooth Multiresolution Analysis

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