Wavelets and subbands : fundamentals and applications

>> Google Books

所蔵情報QRコード

Wavelets and subbands : fundamentals and applications / Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das

資料種別:

図書

出版情報:

Boston : Birkhäuser, c2002

形態:

xvii, 551 p. ; 25 cm

シリーズ名:

Applied and numerical harmonic analysis / series editor, John J. Benedetto <BA30247287>

著者名:

ISBN:

9780817641368 [081764136X]

書誌ID:

BA55646442

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references (p. [521]-541) and index

主題:

Frequency spectra; Signal processing; Wavelets (Mathematics)

言語:

英語

目次情報:

Preface

Notation

Introduction / 1.：

Historical Review: From Fourier Analysis to Wavelet Analysis and Subband / 1.1：

Organization of This Book / 1.2：

References / 1.3：

Fundamentals / Part I：

Wavelet Fundamentals / 2.：

Why Wavelet Transforms? / 2.1：

Fourier Transform as a Wave Transform / 2.3：

Wavelet Transform / 2.4：

Connection Between Wavelets and Filters / 2.5：

Time-Frequency Analysis: Short-Time Fourier Transform, Gabor Transform, and Tiling in the Time-Frequency Plane / 2.6：

Examples of Wavelets / 2.7：

From the Continuous to the Discrete Case / 2.8：

Frames / 2.9：

Subbands / 2.10：

Multiresolution Analysis / 2.11：

Matrix Formulation / 2.12：

Multiresolution Revisited / 2.13：

Two-Dimensional Case / 2.14：

DWT and Subband Example / 2.15：

Implementations / 2.16：

Summary and Conclusions / 2.17：

Wavelets and Subbands / 2.18：

Time and Frequency Analysis of Signals / 3.：

Fundamentals of Signal Analysis / 3.1：

Uncertainty Principle / 3.1.2：

Windowed Fourier Transform: Short-Time Fourier Transform and Gabor Transform / 3.2：

General Properties of the Windowed Fourier Transform / 3.2.1：

Uncertainty Principle for Windowed Fourier Transform / 3.2.2：

Inverse Windowed Fourier Transform / 3.2.3：

Continuous Wavelet Transform / 3.3：

Mathematics of the Continuous Wavelet Transform / 3.3.1：

Properties of the Continuous Wavelet Transform / 3.3.2：

Inverse Wavelet Transform / 3.3.3：

Examples of Mother Wavelets / 3.3.4：

Analytic Wavelet Transform / 3.4：

Analytic Signals / 3.4.1：

Analytic Wavelet Transform on Real Signals / 3.4.2：

Physical Interpretation of an Analytic Signal / 3.4.3：

Quadratic Time-Frequency Distributions / 3.5：

Discrete Wavelet Transform: From Frames to Fast Wavelet Transform / 3.6：

Fundamentals of Frame Theory / 4.1：

Sampling Theorem / 4.3：

Wavelet Frames / 4.4：

Examples of Wavelet Frames / 4.5：

Time-Frequency Localization / 4.6：

Orthonormal Discrete Wavelet Transforms / 4.7：

Scaling Functions / 4.8：

Construction of Wavelet Bases Using Multiresolution Analysis / 4.10：

Wavelet Bases / 4.11：

Shannon Wavelet / 4.11.1：

Meyer Wavelet / 4.11.2：

Haar Wavelet / 4.11.3：

Battle-Lemarie (Spline) Wavelets / 4.11.4：

Daubechies Compactly Supported Wavelets / 4.12：

Fast Wavelet Transform / 4.13：

Biorthogonal Wavelet Bases / 4.14：

Theory of Subband Decomposition / 4.15：

Fundamentals of Digital Signal Processing / 5.1：

Multirate Systems / 5.3：

Polyphase Decomposition / 5.4：

Two-Channel Filter Bank/PR Filter / 5.5：

Biorthogonal Filters / 5.6：

Lifting Scheme / 5.7：

M-Band Case / 5.8：

Applications of Multirate Filtering / 5.9：

Two-Dimensional Wavelet Transforms and Applications / 5.10：

Orthogonal Pyramid Transforms / 6.1：

Progressive Transforms for Lossless and Lossy Image Coding / 6.3：

Embedded Zerotree Wavelets / 6.4：

Applications / 6.5：

Applications of Wavelets in the Analysis of Transient Signals / 7.：

Introduction to Time-Frequency Analysis of Transient Signals / 7.1：

Ultrasonic Systems / 7.2.1：

Ultrasonic Characterization of Coatings by the Ridges of the Analytic Wavelet Transform / 7.2.2：

Characterization of Coatings / 7.2.3：

Biomedical Application of Wavelets: Analysis of EEG Signals for Monitoring Depth of Anesthesia / 7.3：

Wavelet Spectral Analysis of EEG Signals / 7.3.1：

System Response Wavelet Analysis of EEG Signals / 7.3.2：

Discussion of Results / 7.3.3：

Applications of Subband and Wavelet Transform in Communication Systems / 7.4：

Applications in Spread Spectrum Communication Systems / 8.1：

Excision / 8.2.1：

Adaptive Filter-Bank Exciser / 8.2.2：

Transform-Based Low Probability of Intercept Receiver / 8.2.3：

Application of Multirate Filter Bank in Spreading Code Generation and Multiple Access / 8.2.4：

Modulation Using Filter Banks and Wavelets / 8.3：

Multitione Modulation / 8.4：

Noise Reduction in Audio and Images Using Wavelets / 8.5：

Audio/Video/Image Compression / 8.6：

Progressive Pattern Recognition

Real-Time Implementations of Wavelet Transforms / 8.7：

Digital VLSI Implementation / 9.1：

Optical Implementation / 9.2：

Matrix Processing and Neural Networks / 9.2.1：

Acousto-Optic Devices / 9.2.2：

Other Optical Implementations / 9.2.3：

Appendix / 9.3：

Fourier Transform / A.：

Discrete Fourier Transform / B.：

z-Transform / C.：

Orthogonal Representation of Signals / D.：

Bibliography

Index

Preface

Notation

Introduction / 1.：

Historical Review: From Fourier Analysis to Wavelet Analysis and Subband / 1.1：

Organization of This Book / 1.2：

References / 1.3：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Acousto-optic signal processing : fundamentals & applications Das, Pankaj K., 1937-, De Cusatis, Casimer M., Kulakov, S. V. (Sergeĭ Viktorovich) Artech House	7 図書 Wavelet transforms and localization operators Wong, M. W. Birkhäuser
2 図書 Subband and wavelet transforms : design and applications Akansu, Ali N., 1958-, Smith, Mark J. T. Kluwer Academic Publishers	8 図書 Wavelets : theory and applications Louis, Alfred Karl, 1949-, Maass, P, Rieder, A Wiley
3 図書 Wavelet theory and its applications Young, Randy K., 1963- Kluwer Academic Publishers	9 図書 Wavelet theory and application Laine, Andrew F. Kluwer Academic
4 図書 Wavelets and subband coding Vetterli, Martin, Kovačević, Jelena Prentice Hall PTR	10 図書 Wavelets : mathematics and applications Frazier, Michael, 1956-, Benedetto, John CRC Press
5 図書 Time-frequency analysis Cohen, Leon, 1940- Prentice Hall PTR	11 図書 Wavelets : algorithms & applications Meyer, Yves, Ryan, Robert D. (Robert Dean), 1933- Society for Industrial and Applied Mathematics
6 図書 An introduction to wavelets (: hbk ; : pbk) Chui, Charles K. Academic Press	12 図書 Wavelets and their applications Ruskai, Mary Beth Jones and Bartlett