Mathematical principles of signal processing : fourier and wavelet analysis
著者
書誌事項
Mathematical principles of signal processing : fourier and wavelet analysis
Springer, c2002
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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
目次
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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