Info
Adapted wavelet analysis from theory to software / Mladen Victor Wickerhauser
| Adapted wavelet analysis from theory to software / Mladen Victor Wickerhauser |
| Autore | Wickenhauser, Mladen Victor |
| Pubbl/distr/stampa | New York, : IEEE Press |
| Descrizione fisica | XII, 486 p. ; 24 cm. |
| Disciplina |
621.38201
621.3822015152433 |
| Soggetto topico | Elaborazione dei segnali - Metodi matematici |
| ISBN | 1568810415 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISANNIO-PUV0299268 |
Wickenhauser, Mladen Victor
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| New York, : IEEE Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
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Mathematical Morphology and Its Applications to Signal and Image Processing [[electronic resource] ] : 12th International Symposium, ISMM 2015, Reykjavik, Iceland, May 27-29, 2015. Proceedings / / edited by Jón Atli Benediktsson, Jocelyn Chanussot, Laurent Najman, Hugues Talbot
| Mathematical Morphology and Its Applications to Signal and Image Processing [[electronic resource] ] : 12th International Symposium, ISMM 2015, Reykjavik, Iceland, May 27-29, 2015. Proceedings / / edited by Jón Atli Benediktsson, Jocelyn Chanussot, Laurent Najman, Hugues Talbot |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (XIV, 754 p. 324 illus.) |
| Disciplina | 621.3822015152433 |
| Collana | Image Processing, Computer Vision, Pattern Recognition, and Graphics |
| Soggetto topico |
Optical data processing
Computer science—Mathematics Image Processing and Computer Vision Math Applications in Computer Science Discrete Mathematics in Computer Science |
| ISBN | 3-319-18720-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Evaluations and applications -- Hierarchies -- Color, multivalued and orientation fields -- Optimization, differential calculus and probabilities -- Topology and discrete geometry.- Algorithms and implementation. |
| Record Nr. | UNISA-996200026203316 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Mathematical Morphology and Its Applications to Signal and Image Processing : 12th International Symposium, ISMM 2015, Reykjavik, Iceland, May 27-29, 2015. Proceedings / / edited by Jón Atli Benediktsson, Jocelyn Chanussot, Laurent Najman, Hugues Talbot
| Mathematical Morphology and Its Applications to Signal and Image Processing : 12th International Symposium, ISMM 2015, Reykjavik, Iceland, May 27-29, 2015. Proceedings / / edited by Jón Atli Benediktsson, Jocelyn Chanussot, Laurent Najman, Hugues Talbot |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (XIV, 754 p. 324 illus.) |
| Disciplina | 621.3822015152433 |
| Collana | Image Processing, Computer Vision, Pattern Recognition, and Graphics |
| Soggetto topico |
Optical data processing
Computer science—Mathematics Image Processing and Computer Vision Math Applications in Computer Science Discrete Mathematics in Computer Science |
| ISBN | 3-319-18720-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Evaluations and applications -- Hierarchies -- Color, multivalued and orientation fields -- Optimization, differential calculus and probabilities -- Topology and discrete geometry.- Algorithms and implementation. |
| Record Nr. | UNINA-9910483143403321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Signals, Systems, and Transforms : Concise Coverage from Theory to Application
| Signals, Systems, and Transforms : Concise Coverage from Theory to Application |
| Autore | Cohen Fernand |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Newark : , : John Wiley & Sons, Incorporated, , 2025 |
| Descrizione fisica | 1 online resource (227 pages) |
| Disciplina | 621.3822015152433 |
| ISBN |
1-394-30087-5
1-394-30086-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title Page -- Copyright Page -- Dedication Page -- Contents -- Preface -- Acknowledgments -- List of Symbols -- Chapter 1 Signals and Systems -- 1.1 Different Types of Signals -- 1.1.1 Causal, Anticausal, and Noncausal Signals -- 1.2 Symmetry in Signals -- 1.3 Singularity Functions -- 1.3.1 Impulse Function -- 1.3.2 Step Function -- 1.3.3 Rectangular Function -- 1.3.4 Ramp Function -- 1.3.5 Triangular Function -- 1.4 Transforming a Signal -- 1.4.1 Time Transformation -- 1.4.2 Amplitude Transformation -- 1.5 Characterizing a System and System's Properties -- 1.5.1 Linearity -- 1.5.2 Time Invariance -- 1.5.3 Invertibility -- 1.5.4 Causality -- 1.5.5 Bounded-Input Bounded-Output Stability -- 1.6 Impulse Response of an LTI System -- 1.6.1 Convolution Integral and Sum -- 1.6.2 Step and Ramp Responses -- 1.7 Impulse Response of LTI, RL, or RC Circuit -- 1.8 Second-Order Systems -- 1.9 Impulse Response of Rational Systems -- 1.10 Deconvolution -- 1.11 Chapter Summary -- Problems -- Chapter 2 Fourier Series (FS) -- 2.1 Development of Fourier Series: A Historical Perspective -- 2.2 Vector and Function Spaces -- 2.2.1 Geometric Projection and Dot Product -- 2.2.2 Function Space and Dot Product -- 2.3 Sinusoidal Functions -- 2.4 Fourier Series Expansion -- 2.4.1 Existence of Fourier Series -- 2.5 Fourier Series of Certain Signals and Properties -- 2.5.1 Train of Impulse Function -- 2.5.2 Shifting Property -- 2.5.3 Derivative Property -- 2.6 Spectral Representation of Periodic Functions -- 2.7 Fourier Series for Discrete Periodic Signals -- 2.7.1 2D Discrete Periodic Signal -- 2.8 Signal and Image Compression -- 2.8.1 Lossy Compression -- 2.9 Fourier Descriptors for Boundary Representation -- 2.10 Chapter Summary -- Problems -- 2.A Appendix -- References -- Chapter 3 Fourier Transform -- 3.1 Development of Fourier Transform.
3.2 Fourier Transform from Fourier Series -- 3.3 Inverse Fourier Transform -- 3.3.1 Existence of Fourier Transform -- 3.4 Fourier Transform of Certain Signals -- 3.4.1 FT of an Impulse Function -- 3.4.2 FT of an Exponential Function -- 3.5 Properties of FT -- 3.5.1 Shifting Property -- 3.5.2 Derivative Property -- 3.5.3 Convolution Property -- 3.5.4 Eigenfunction Eigenvalue (EE) Property -- 3.5.5 Integral Property -- 3.5.6 Duality Property -- 3.5.7 Modulation Property -- 3.5.8 Scaling Property -- 3.6 Parseval's Theorem -- 3.7 FT for Discrete Signals (DTFT) -- 3.7.1 Inverse DTFT -- 3.7.2 Properties of DTFT -- 3.7.2.1 Shifting Property -- 3.7.2.2 Derivative Property -- 3.7.2.3 Summation Property -- 3.8 Parseval's Theorem for DTFT -- 3.9 Discrete Rational System Approximation to a Continuous Rational System -- 3.10 Phasors and FT -- 3.11 FT in Medical Imaging -- 3.11.1 Projection Theorem -- 3.11.1.1 Projection Slice Theorem -- 3.12 Chapter Summary -- Problems -- References -- Chapter 4 DFT and FFT -- 4.1 Development of Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT) -- 4.2 DFT as Samples on the DTFT -- 4.2.1 Conditions for Retrieving x(n) from y(n) -- 4.3 IDFT -- 4.4 Circular Convolution -- 4.5 FFT -- 4.5.1 Radix 2 FFT -- 4.5.2 8-FFT Using Two 4-DFTs or Four 2-DFTs -- 4.5.3 9-FFT Using Three 3-DFT Units -- 4.5.4 Radix m-FFT -- 4.5.5 Decimation in Frequency -- 4.6 Chapter Summary -- Problems -- References -- Chapter 5 Laplace Transform -- 5.1 Development of Laplace Transform (LT) -- 5.2 The LT as a Generalized FT -- 5.3 Relationship Between the FT and the LT -- 5.4 The ROC for Rational Signals -- 5.4.1 The ROC for Rational Causal Signal of Infinite duration -- 5.4.2 The ROC for Rational Anticausal Signal- of Infinite duration -- 5.4.3 ROC for Rational Noncausal Signals -- 5.5 Inverse LT (ILT) -- 5.6 Laplace Transform of Certain Signals. 5.6.1 The LT of an Impulse Function -- 5.6.2 The LT of an Exponential Function -- 5.7 Properties of the LT -- 5.7.1 Shifting Property -- 5.7.2 Derivative Property -- 5.7.3 Convolution Property -- 5.7.4 Eigenfunction Eigenvalue Property -- 5.7.5 Integral Property -- 5.7.6 Scaling Property -- 5.7.7 Complex Shift and Duality Property -- 5.7.8 Initial and Final Values -- 5.8 Rational Systems -- 5.8.1 Poles and Zeros of a Rational System -- 5.8.2 The BIBO Stable System -- 5.8.3 Step and Ramp Responses as Functions of the Impulse Response h(t) -- 5.9 Chapter Summary -- Problems -- References -- Chapter 6 Z-Transform -- 6.1 Development of Z-transform (ZT) -- 6.2 The ZT as Generalized DTFT -- 6.3 Relationship Between DTFT and ZT -- 6.4 Region of Convergence (ROC) for Rational Signals -- 6.4.1 ROC for Rational Causal Signals of Infinite Duration -- 6.4.2 ROC for Rational Anticausal Signals -- 6.4.3 ROC for Rational Noncausal Signals -- 6.5 Inverse ZT (IZT) -- 6.5.1 Cauchy's Residue Theorem for IZT -- 6.6 The ZT of Certain Signals -- 6.6.1 The ZT of a Dirac Delta Function -- 6.6.2 The ZT of an Exponent Function -- 6.7 Properties of the ZT -- 6.7.1 Shifting Property -- 6.7.2 Difference and Summation Property -- 6.7.3 Derivative Property -- 6.7.4 Convolution Property -- 6.7.5 Eigenfunction Eigenvalue Property -- 6.7.6 Scaling Property -- 6.7.7 Time Reversal -- 6.8 Initial and Final Values -- 6.9 Relationship Between LT and ZT -- 6.10 Rational Systems -- 6.10.1 Poles and Zeros of a Rational System -- 6.10.2 BIBO Stable System -- 6.10.3 Step and Ramp Responses as Functions of the Impulse Response h(n) -- 6.11 Connecting the Various FT and GFT for Analog and Discrete Signals -- 6.12 Chapter Summary -- Problems -- References -- Chapter 7 Sampler -- 7.1 Development of Digitizer â€" The Sampler and Quantizer -- 7.2 Sampler and Nyquist Rate. 7.2.1 Sampling of Bandpass Signals -- 7.3 Sampling of Images -- 7.4 Nonuniform Sampling -- 7.5 Chapter Summary -- Problems -- References -- Chapter 8 Quantizer -- 8.1 Development of the Quantizer -- 8.2 Lloyd-Max Quantizer -- 8.2.1 Lloyd-Max Solution -- 8.3 Uniform Quantizer -- 8.4 Suboptimal Quantizer -- 8.5 Intuitive Quantizer -- 8.6 Compandor Quantizer -- 8.7 Dithering â€" Reducing Quantization Distortions -- 8.8 Halftoning -- 8.9 Chapter Summary -- Problems -- References -- Chapter 9 Unitary Transforms -- 9.1 Development of Unitary Transforms -- 9.2 Unitary Transforms in Vector Spaces -- 9.3 Compactness Property -- 9.4 Optimal Transform -- 9.5 DFT as a Unitary Transform -- 9.6 DCT as a Unitary Transform -- 9.7 Singular Value Decomposition (SVD) and Unitary Transforms -- 9.8 Chapter Summary -- Problems -- References -- Chapter 10 Applications -- 10.1 Renography -- 10.2 Filter Design -- 10.2.1 Ideal Low Pass Filter -- 10.2.2 Digital Filters -- 10.3 Signal and Image Restoration -- 10.4 Chapter Summary -- Problems -- MATLAB Exercise -- Appendix A Complex Variable Calculus -- Index -- EULA. |
| Record Nr. | UNINA-9911034577303321 |
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Cohen Fernand
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| Newark : , : John Wiley & Sons, Incorporated, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Mallat S. G (Stéphane G.)
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| Amsterdam ; ; Boston, : Elsevier /Academic Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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) |
| 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 |
9786611982164
9781281982162 1281982164 9780080922027 0080922023 |
| 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-9910966022603321 |
|
Mallat S. G (Stéphane G.)
|
||
| Amsterdam ; ; Boston, : Elsevier /Academic Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||