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A wavelet tour of signal processing [[electronic resource] ] : the Sparse way / / Stephane Mallat
| A wavelet tour of signal processing [[electronic resource] ] : the Sparse way / / Stephane Mallat |
| Autore | Mallat S. G (Stéphane G.) |
| Edizione | [Sparse ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier /Academic Press, c2009 |
| Descrizione fisica | 1 online resource (829 p.) |
| Disciplina |
621.382/2015152433
621.3822015152433 |
| Soggetto topico |
Signal processing - Mathematics
Wavelets (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-98216-4
9786611982164 0-08-092202-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; A Wavelet Tour of Signal Processing; Copyright Page; Dedication Page; Table of Contents; Preface to the Sparse Edition; Notations; Chapter 1. Sparse Representations; 1.1 Computational Harmonic Analysis; 1.1.1 The Fourier Kingdom; 1.1.2 Wavelet Bases; 1.2 Approximation and Processing in Bases; 1.2.1 Sampling with Linear Approximations; 1.2.2 Sparse Nonlinear Approximations; 1.2.3 Compression; 1.2.4 Denoising; 1.3 Time-Frequency Dictionaries; 1.3.1 Heisenberg Uncertainty; 1.3.2 Windowed Fourier Transform; 1.3.3 Continuous Wavelet Transform; 1.3.4 Time-Frequency Orthonormal Bases
1.4 Sparsity in Redundant Dictionaries1.4.1 Frame Analysis and Synthesis; 1.4.2 Ideal Dictionary Approximations; 1.4.3 Pursuit in Dictionaries; 1.5 Inverse Problems; 1.5.1 Diagonal Inverse Estimation; 1.5.2 Super-resolution and Compressive Sensing; 1.6 Travel Guide; 1.6.1 Reproducible Computational Science; 1.6.2 Book Road Map; Chapter 2. The Fourier Kingdom; 2.1 Linear Time-Invariant Filtering; 2.1.1 Impulse Response; 2.1.2 Transfer Functions; 2.2 Fourier Integrals; 2.2.1 Fourier Transform in L1(R); 2.2.2 Fourier Transform in L2(R); 2.2.3 Examples; 2.3 Properties; 2.3.1 Regularity and Decay 2.3.2 Uncertainty Principle2.3.3 Total Variation; 2.4 Two-Dimensional Fourier Transform; 2.5 Exercises; Chapter 3. Discrete Revolution; 3.1 Sampling Analog Signals; 3.1.1 Shannon-Whittaker Sampling Theorem; 3.1.2 Aliasing; 3.1.3 General Sampling and Linear Analog Conversions; 3.2 Discrete Time-Invariant Filters; 3.2.1 Impulse Response and Transfer Function; 3.2.2 Fourier Series; 3.3 Finite Signals; 3.3.1 Circular Convolutions; 3.3.2 Discrete Fourier Transform; 3.3.3 Fast Fourier Transform; 3.3.4 Fast Convolutions; 3.4 Discrete Image Processing; 3.4.1 Two-Dimensional Sampling Theorems 3.4.2 Discrete Image Filtering3.4.3 Circular Convolutions and Fourier Basis; 3.5 Exercises; Chapter 4. Time Meets Frequency; 4.1 Time-Frequency Atoms; 4.2 Windowed Fourier Transform; 4.2.1 Completeness and Stability; 4.2.2 Choice of Window; 4.2.3 Discrete Windowed Fourier Transform; 4.3 Wavelet Transforms; 4.3.1 Real Wavelets; 4.3.2 Analytic Wavelets; 4.3.3 Discrete Wavelets; 4.4 Time-Frequency Geometry of Instantaneous Frequencies; 4.4.1 Analytic Instantaneous Frequency; 4.4.2 Windowed Fourier Ridges; 4.4.3 Wavelet Ridges; 4.5 Quadratic Time-Frequency Energy; 4.5.1 Wigner-Ville Distribution 4.5.2 Interferences and Positivity4.5.3 Cohen's Class; 4.5.4 Discrete Wigner-Ville Computations; 4.6 Exercises; Chapter 5. Frames; 5.1 Frames and Riesz Bases; 5.1.1 Stable Analysis and Synthesis Operators; 5.1.2 Dual Frame and Pseudo Inverse; 5.1.3 Dual-Frame Analysis and Synthesis Computations; 5.1.4 Frame Projector and Reproducing Kernel; 5.1.5 Translation-Invariant Frames; 5.2 Translation-Invariant Dyadic Wavelet Transform; 5.2.1 Dyadic Wavelet Design; 5.2.2 Algorithme à Trous; 5.3 Subsampled Wavelet Frames; 5.4 Windowed Fourier Frames; 5.4.1 Tight Frames; 5.4.2 General Frames 5.5 Multiscale Directional Frames For Images |
| Record Nr. | UNINA-9910454413803321 |
Mallat S. G (Stéphane G.)
|
||
| Amsterdam ; ; Boston, : Elsevier /Academic Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A wavelet tour of signal processing [[electronic resource] ] : the Sparse way / / Stephane Mallat
| A wavelet tour of signal processing [[electronic resource] ] : the Sparse way / / Stephane Mallat |
| Autore | Mallat S. G (Stéphane G.) |
| Edizione | [Sparse ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier /Academic Press, c2009 |
| Descrizione fisica | 1 online resource (829 p.) |
| Disciplina |
621.382/2015152433
621.3822015152433 |
| Soggetto topico |
Signal processing - Mathematics
Wavelets (Mathematics) |
| ISBN |
1-281-98216-4
9786611982164 0-08-092202-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; A Wavelet Tour of Signal Processing; Copyright Page; Dedication Page; Table of Contents; Preface to the Sparse Edition; Notations; Chapter 1. Sparse Representations; 1.1 Computational Harmonic Analysis; 1.1.1 The Fourier Kingdom; 1.1.2 Wavelet Bases; 1.2 Approximation and Processing in Bases; 1.2.1 Sampling with Linear Approximations; 1.2.2 Sparse Nonlinear Approximations; 1.2.3 Compression; 1.2.4 Denoising; 1.3 Time-Frequency Dictionaries; 1.3.1 Heisenberg Uncertainty; 1.3.2 Windowed Fourier Transform; 1.3.3 Continuous Wavelet Transform; 1.3.4 Time-Frequency Orthonormal Bases
1.4 Sparsity in Redundant Dictionaries1.4.1 Frame Analysis and Synthesis; 1.4.2 Ideal Dictionary Approximations; 1.4.3 Pursuit in Dictionaries; 1.5 Inverse Problems; 1.5.1 Diagonal Inverse Estimation; 1.5.2 Super-resolution and Compressive Sensing; 1.6 Travel Guide; 1.6.1 Reproducible Computational Science; 1.6.2 Book Road Map; Chapter 2. The Fourier Kingdom; 2.1 Linear Time-Invariant Filtering; 2.1.1 Impulse Response; 2.1.2 Transfer Functions; 2.2 Fourier Integrals; 2.2.1 Fourier Transform in L1(R); 2.2.2 Fourier Transform in L2(R); 2.2.3 Examples; 2.3 Properties; 2.3.1 Regularity and Decay 2.3.2 Uncertainty Principle2.3.3 Total Variation; 2.4 Two-Dimensional Fourier Transform; 2.5 Exercises; Chapter 3. Discrete Revolution; 3.1 Sampling Analog Signals; 3.1.1 Shannon-Whittaker Sampling Theorem; 3.1.2 Aliasing; 3.1.3 General Sampling and Linear Analog Conversions; 3.2 Discrete Time-Invariant Filters; 3.2.1 Impulse Response and Transfer Function; 3.2.2 Fourier Series; 3.3 Finite Signals; 3.3.1 Circular Convolutions; 3.3.2 Discrete Fourier Transform; 3.3.3 Fast Fourier Transform; 3.3.4 Fast Convolutions; 3.4 Discrete Image Processing; 3.4.1 Two-Dimensional Sampling Theorems 3.4.2 Discrete Image Filtering3.4.3 Circular Convolutions and Fourier Basis; 3.5 Exercises; Chapter 4. Time Meets Frequency; 4.1 Time-Frequency Atoms; 4.2 Windowed Fourier Transform; 4.2.1 Completeness and Stability; 4.2.2 Choice of Window; 4.2.3 Discrete Windowed Fourier Transform; 4.3 Wavelet Transforms; 4.3.1 Real Wavelets; 4.3.2 Analytic Wavelets; 4.3.3 Discrete Wavelets; 4.4 Time-Frequency Geometry of Instantaneous Frequencies; 4.4.1 Analytic Instantaneous Frequency; 4.4.2 Windowed Fourier Ridges; 4.4.3 Wavelet Ridges; 4.5 Quadratic Time-Frequency Energy; 4.5.1 Wigner-Ville Distribution 4.5.2 Interferences and Positivity4.5.3 Cohen's Class; 4.5.4 Discrete Wigner-Ville Computations; 4.6 Exercises; Chapter 5. Frames; 5.1 Frames and Riesz Bases; 5.1.1 Stable Analysis and Synthesis Operators; 5.1.2 Dual Frame and Pseudo Inverse; 5.1.3 Dual-Frame Analysis and Synthesis Computations; 5.1.4 Frame Projector and Reproducing Kernel; 5.1.5 Translation-Invariant Frames; 5.2 Translation-Invariant Dyadic Wavelet Transform; 5.2.1 Dyadic Wavelet Design; 5.2.2 Algorithme à Trous; 5.3 Subsampled Wavelet Frames; 5.4 Windowed Fourier Frames; 5.4.1 Tight Frames; 5.4.2 General Frames 5.5 Multiscale Directional Frames For Images |
| Record Nr. | UNINA-9910782686003321 |
|
Mallat S. G (Stéphane G.)
|
||
| Amsterdam ; ; Boston, : Elsevier /Academic Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A wavelet tour of signal processing : the Sparse way / / Stephane Mallat
| A wavelet tour of signal processing : the Sparse way / / Stephane Mallat |
| Autore | Mallat S. G (Stéphane G.) |
| Edizione | [Sparse ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier /Academic Press, c2009 |
| Descrizione fisica | 1 online resource (829 p.) |
| Disciplina |
621.382/2015152433
621.3822015152433 |
| Soggetto topico |
Signal processing - Mathematics
Wavelets (Mathematics) |
| ISBN |
1-281-98216-4
9786611982164 0-08-092202-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; A Wavelet Tour of Signal Processing; Copyright Page; Dedication Page; Table of Contents; Preface to the Sparse Edition; Notations; Chapter 1. Sparse Representations; 1.1 Computational Harmonic Analysis; 1.1.1 The Fourier Kingdom; 1.1.2 Wavelet Bases; 1.2 Approximation and Processing in Bases; 1.2.1 Sampling with Linear Approximations; 1.2.2 Sparse Nonlinear Approximations; 1.2.3 Compression; 1.2.4 Denoising; 1.3 Time-Frequency Dictionaries; 1.3.1 Heisenberg Uncertainty; 1.3.2 Windowed Fourier Transform; 1.3.3 Continuous Wavelet Transform; 1.3.4 Time-Frequency Orthonormal Bases
1.4 Sparsity in Redundant Dictionaries1.4.1 Frame Analysis and Synthesis; 1.4.2 Ideal Dictionary Approximations; 1.4.3 Pursuit in Dictionaries; 1.5 Inverse Problems; 1.5.1 Diagonal Inverse Estimation; 1.5.2 Super-resolution and Compressive Sensing; 1.6 Travel Guide; 1.6.1 Reproducible Computational Science; 1.6.2 Book Road Map; Chapter 2. The Fourier Kingdom; 2.1 Linear Time-Invariant Filtering; 2.1.1 Impulse Response; 2.1.2 Transfer Functions; 2.2 Fourier Integrals; 2.2.1 Fourier Transform in L1(R); 2.2.2 Fourier Transform in L2(R); 2.2.3 Examples; 2.3 Properties; 2.3.1 Regularity and Decay 2.3.2 Uncertainty Principle2.3.3 Total Variation; 2.4 Two-Dimensional Fourier Transform; 2.5 Exercises; Chapter 3. Discrete Revolution; 3.1 Sampling Analog Signals; 3.1.1 Shannon-Whittaker Sampling Theorem; 3.1.2 Aliasing; 3.1.3 General Sampling and Linear Analog Conversions; 3.2 Discrete Time-Invariant Filters; 3.2.1 Impulse Response and Transfer Function; 3.2.2 Fourier Series; 3.3 Finite Signals; 3.3.1 Circular Convolutions; 3.3.2 Discrete Fourier Transform; 3.3.3 Fast Fourier Transform; 3.3.4 Fast Convolutions; 3.4 Discrete Image Processing; 3.4.1 Two-Dimensional Sampling Theorems 3.4.2 Discrete Image Filtering3.4.3 Circular Convolutions and Fourier Basis; 3.5 Exercises; Chapter 4. Time Meets Frequency; 4.1 Time-Frequency Atoms; 4.2 Windowed Fourier Transform; 4.2.1 Completeness and Stability; 4.2.2 Choice of Window; 4.2.3 Discrete Windowed Fourier Transform; 4.3 Wavelet Transforms; 4.3.1 Real Wavelets; 4.3.2 Analytic Wavelets; 4.3.3 Discrete Wavelets; 4.4 Time-Frequency Geometry of Instantaneous Frequencies; 4.4.1 Analytic Instantaneous Frequency; 4.4.2 Windowed Fourier Ridges; 4.4.3 Wavelet Ridges; 4.5 Quadratic Time-Frequency Energy; 4.5.1 Wigner-Ville Distribution 4.5.2 Interferences and Positivity4.5.3 Cohen's Class; 4.5.4 Discrete Wigner-Ville Computations; 4.6 Exercises; Chapter 5. Frames; 5.1 Frames and Riesz Bases; 5.1.1 Stable Analysis and Synthesis Operators; 5.1.2 Dual Frame and Pseudo Inverse; 5.1.3 Dual-Frame Analysis and Synthesis Computations; 5.1.4 Frame Projector and Reproducing Kernel; 5.1.5 Translation-Invariant Frames; 5.2 Translation-Invariant Dyadic Wavelet Transform; 5.2.1 Dyadic Wavelet Design; 5.2.2 Algorithme à Trous; 5.3 Subsampled Wavelet Frames; 5.4 Windowed Fourier Frames; 5.4.1 Tight Frames; 5.4.2 General Frames 5.5 Multiscale Directional Frames For Images |
| Record Nr. | UNINA-9910824696403321 |
|
Mallat S. G (Stéphane G.)
|
||
| Amsterdam ; ; Boston, : Elsevier /Academic Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A wavelet tour of signal processing [[electronic resource] /] / Stéphane Mallat
| A wavelet tour of signal processing [[electronic resource] /] / Stéphane Mallat |
| Autore | Mallat S. G (Stéphane G.) |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | San Diego, : Academic Press, 1999 |
| Descrizione fisica | 1 online resource (663 p.) |
| Disciplina | 621.382/2 |
| Soggetto topico |
Signal processing - Mathematics
Wavelets (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-07081-5
9786611070816 0-08-052083-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; A Wavelet Tour of Signal Processing; Copyright Page; Contents; Preface; Preface to the Second Edition; Notation; CHAPTER I. INTRODUCTION TO A TRANSIENT WORLD; 1.1 Fourier Kingdom; 1.2 Time-Frequency Wedding; 1.3 Bases of Time-Frequency Atoms; 1.4 Bases for What?; 1.5 Travel Guide; CHAPTER II. FOURIER KINGDOM; 2.1 Linear Time-Invariant Filtering; 2.2 Fourier Integrals; 2.3 Properties; 2.4 Two-Dimensional Fourier Transform; 2.5 Problems; CHAPTER III. DISCRETE REVOLUTION; 3.1 Sampling Analog Signals; 3.2 Discrete Time-Invariant Filters; 3.3 Finite Signals
3.4 Discrete Image Processing3.5 Problems; CHAPTER IV. TIME MEETS FREQUENCY; 4.1 Time-Frequency Atoms; 4.2 Windowed Fourier Transform; 4.3 Wavelet Transforms; 4.4 Instantaneous Frequency; 4.5 Quadratic Time-Frequency Energy; 4.6 Problems; CHAPTER V. FRAMES; 5.1 Frame Theory; 5.2 Windowed Fourier Frames; 5.3 Wavelet Frames; 5.4 Translation Invariance; 5.5 Dyadic Wavelet Transform; 5.6 Problems; CHAPTER VI. WAVELET ZOOM; 6.1 Lipschitz Regularity; 6.2 Wavelet Transform Modulus Maxima; 6.3 Multiscale Edge Detection; 6.4 Multifractals; 6.5 Problems; CHAPTER VII. WAVELET BASES 7.1 Orthogonal Wavelet Bases7.2 Classes of Wavelet Bases; 7.3 Wavelets and Filter Banks; 7.4 Biorthogonal Wavelet Bases; 7.5 Wavelet Bases on an Interval; 7.6 Multiscale Interpolations; 7.7 Separable Wavelet Bases; 7.8 Problems; CHAPTER VIII. WAVELET PACKET AND LOCAL COSINE BASES; 8.1 Wavelet Packets; 8.2 Image Wavelet Packets; 8.3 Block Transforms; 8.4 Lapped Orthogonal Transforms; 8.5 Local Cosine Trees; 8.6 Problems; CHAPTER IX. AN APPROXIMATION TOUR; 9.1 Linear Approximations; 9.2 Non-Linear Approximations; 9.3 Image Approximations with Wavelets; 9.4 Adaptive Basis Selection 9.5 Approximations with Pursuits9.6 Problems; CHAPTER X. ESTIMATIONS ARE APPROXIMATIONS; 10.1 Bayes Versus Minimax; 10.2 Diagonal Estimation in a Basis; 10.3 Minimax Optimality; 10.4 Restoration; 10.5 Coherent Estimation; 10.6 Spectrum Estimation; 10.7 Problems; CHAPTER XI. TRANSFORM CODING; 11.1 Signal Compression; 11.2 Distortion Rate of Quantization; 11.3 High Bit Rate Compression; 11.4 Image Compression; 11.5 Video Signals; 11.6 Problems; APPENDIX A. MATHEMATICAL COMPLEMENTS; A.1 Functions and Integration; A.2 Banach and Hilbert Spaces; A.3 Bases of Hilbert Spaces; A.4 Linear Operators A.5 Separable Spaces and BasesA.6 Random Vectors and Covariance Operators; A.7 Diracs; APPENDIX B. SOFTWARE TOOLBOXES; B.1 Wavelas; B.2 Lastwave; B.3 Freeware Wavelet Toolboxes; Bibliography; Index |
| Record Nr. | UNINA-9910458229903321 |
|
Mallat S. G (Stéphane G.)
|
||
| San Diego, : Academic Press, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A wavelet tour of signal processing [[electronic resource] /] / Stéphane Mallat
| A wavelet tour of signal processing [[electronic resource] /] / Stéphane Mallat |
| Autore | Mallat S. G (Stéphane G.) |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | San Diego, : Academic Press, 1999 |
| Descrizione fisica | 1 online resource (663 p.) |
| Disciplina | 621.382/2 |
| Soggetto topico |
Signal processing - Mathematics
Wavelets (Mathematics) |
| ISBN |
1-281-07081-5
9786611070816 0-08-052083-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; A Wavelet Tour of Signal Processing; Copyright Page; Contents; Preface; Preface to the Second Edition; Notation; CHAPTER I. INTRODUCTION TO A TRANSIENT WORLD; 1.1 Fourier Kingdom; 1.2 Time-Frequency Wedding; 1.3 Bases of Time-Frequency Atoms; 1.4 Bases for What?; 1.5 Travel Guide; CHAPTER II. FOURIER KINGDOM; 2.1 Linear Time-Invariant Filtering; 2.2 Fourier Integrals; 2.3 Properties; 2.4 Two-Dimensional Fourier Transform; 2.5 Problems; CHAPTER III. DISCRETE REVOLUTION; 3.1 Sampling Analog Signals; 3.2 Discrete Time-Invariant Filters; 3.3 Finite Signals
3.4 Discrete Image Processing3.5 Problems; CHAPTER IV. TIME MEETS FREQUENCY; 4.1 Time-Frequency Atoms; 4.2 Windowed Fourier Transform; 4.3 Wavelet Transforms; 4.4 Instantaneous Frequency; 4.5 Quadratic Time-Frequency Energy; 4.6 Problems; CHAPTER V. FRAMES; 5.1 Frame Theory; 5.2 Windowed Fourier Frames; 5.3 Wavelet Frames; 5.4 Translation Invariance; 5.5 Dyadic Wavelet Transform; 5.6 Problems; CHAPTER VI. WAVELET ZOOM; 6.1 Lipschitz Regularity; 6.2 Wavelet Transform Modulus Maxima; 6.3 Multiscale Edge Detection; 6.4 Multifractals; 6.5 Problems; CHAPTER VII. WAVELET BASES 7.1 Orthogonal Wavelet Bases7.2 Classes of Wavelet Bases; 7.3 Wavelets and Filter Banks; 7.4 Biorthogonal Wavelet Bases; 7.5 Wavelet Bases on an Interval; 7.6 Multiscale Interpolations; 7.7 Separable Wavelet Bases; 7.8 Problems; CHAPTER VIII. WAVELET PACKET AND LOCAL COSINE BASES; 8.1 Wavelet Packets; 8.2 Image Wavelet Packets; 8.3 Block Transforms; 8.4 Lapped Orthogonal Transforms; 8.5 Local Cosine Trees; 8.6 Problems; CHAPTER IX. AN APPROXIMATION TOUR; 9.1 Linear Approximations; 9.2 Non-Linear Approximations; 9.3 Image Approximations with Wavelets; 9.4 Adaptive Basis Selection 9.5 Approximations with Pursuits9.6 Problems; CHAPTER X. ESTIMATIONS ARE APPROXIMATIONS; 10.1 Bayes Versus Minimax; 10.2 Diagonal Estimation in a Basis; 10.3 Minimax Optimality; 10.4 Restoration; 10.5 Coherent Estimation; 10.6 Spectrum Estimation; 10.7 Problems; CHAPTER XI. TRANSFORM CODING; 11.1 Signal Compression; 11.2 Distortion Rate of Quantization; 11.3 High Bit Rate Compression; 11.4 Image Compression; 11.5 Video Signals; 11.6 Problems; APPENDIX A. MATHEMATICAL COMPLEMENTS; A.1 Functions and Integration; A.2 Banach and Hilbert Spaces; A.3 Bases of Hilbert Spaces; A.4 Linear Operators A.5 Separable Spaces and BasesA.6 Random Vectors and Covariance Operators; A.7 Diracs; APPENDIX B. SOFTWARE TOOLBOXES; B.1 Wavelas; B.2 Lastwave; B.3 Freeware Wavelet Toolboxes; Bibliography; Index |
| Record Nr. | UNINA-9910784527503321 |
|
Mallat S. G (Stéphane G.)
|
||
| San Diego, : Academic Press, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A wavelet tour of signal processing / / Stéphane Mallat
| A wavelet tour of signal processing / / Stéphane Mallat |
| Autore | Mallat S. G (Stéphane G.) |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | San Diego, : Academic Press, 1999 |
| Descrizione fisica | 1 online resource (663 p.) |
| Disciplina |
621.382/2
621.3822015152433 |
| Soggetto topico |
Signal processing - Mathematics
Wavelets (Mathematics) |
| ISBN |
1-281-07081-5
9786611070816 0-08-052083-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; A Wavelet Tour of Signal Processing; Copyright Page; Contents; Preface; Preface to the Second Edition; Notation; CHAPTER I. INTRODUCTION TO A TRANSIENT WORLD; 1.1 Fourier Kingdom; 1.2 Time-Frequency Wedding; 1.3 Bases of Time-Frequency Atoms; 1.4 Bases for What?; 1.5 Travel Guide; CHAPTER II. FOURIER KINGDOM; 2.1 Linear Time-Invariant Filtering; 2.2 Fourier Integrals; 2.3 Properties; 2.4 Two-Dimensional Fourier Transform; 2.5 Problems; CHAPTER III. DISCRETE REVOLUTION; 3.1 Sampling Analog Signals; 3.2 Discrete Time-Invariant Filters; 3.3 Finite Signals
3.4 Discrete Image Processing3.5 Problems; CHAPTER IV. TIME MEETS FREQUENCY; 4.1 Time-Frequency Atoms; 4.2 Windowed Fourier Transform; 4.3 Wavelet Transforms; 4.4 Instantaneous Frequency; 4.5 Quadratic Time-Frequency Energy; 4.6 Problems; CHAPTER V. FRAMES; 5.1 Frame Theory; 5.2 Windowed Fourier Frames; 5.3 Wavelet Frames; 5.4 Translation Invariance; 5.5 Dyadic Wavelet Transform; 5.6 Problems; CHAPTER VI. WAVELET ZOOM; 6.1 Lipschitz Regularity; 6.2 Wavelet Transform Modulus Maxima; 6.3 Multiscale Edge Detection; 6.4 Multifractals; 6.5 Problems; CHAPTER VII. WAVELET BASES 7.1 Orthogonal Wavelet Bases7.2 Classes of Wavelet Bases; 7.3 Wavelets and Filter Banks; 7.4 Biorthogonal Wavelet Bases; 7.5 Wavelet Bases on an Interval; 7.6 Multiscale Interpolations; 7.7 Separable Wavelet Bases; 7.8 Problems; CHAPTER VIII. WAVELET PACKET AND LOCAL COSINE BASES; 8.1 Wavelet Packets; 8.2 Image Wavelet Packets; 8.3 Block Transforms; 8.4 Lapped Orthogonal Transforms; 8.5 Local Cosine Trees; 8.6 Problems; CHAPTER IX. AN APPROXIMATION TOUR; 9.1 Linear Approximations; 9.2 Non-Linear Approximations; 9.3 Image Approximations with Wavelets; 9.4 Adaptive Basis Selection 9.5 Approximations with Pursuits9.6 Problems; CHAPTER X. ESTIMATIONS ARE APPROXIMATIONS; 10.1 Bayes Versus Minimax; 10.2 Diagonal Estimation in a Basis; 10.3 Minimax Optimality; 10.4 Restoration; 10.5 Coherent Estimation; 10.6 Spectrum Estimation; 10.7 Problems; CHAPTER XI. TRANSFORM CODING; 11.1 Signal Compression; 11.2 Distortion Rate of Quantization; 11.3 High Bit Rate Compression; 11.4 Image Compression; 11.5 Video Signals; 11.6 Problems; APPENDIX A. MATHEMATICAL COMPLEMENTS; A.1 Functions and Integration; A.2 Banach and Hilbert Spaces; A.3 Bases of Hilbert Spaces; A.4 Linear Operators A.5 Separable Spaces and BasesA.6 Random Vectors and Covariance Operators; A.7 Diracs; APPENDIX B. SOFTWARE TOOLBOXES; B.1 Wavelas; B.2 Lastwave; B.3 Freeware Wavelet Toolboxes; Bibliography; Index |
| Record Nr. | UNINA-9910814840603321 |
|
Mallat S. G (Stéphane G.)
|
||
| San Diego, : Academic Press, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||