Wavelets and subband coding:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Englewood Cliffs, NJ
Prentice Hall
1995
|
| Series: | Prentice-Hall signal processing series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 488 S. graph. Darst. |
| ISBN: | 0130970808 |
Staff View
MARC
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| 100 | 1 | |a Vetterli, Martin |d 1959- |e Verfasser |0 (DE-588)120088258 |4 aut | |
| 245 | 1 | 0 | |a Wavelets and subband coding |c Martin Vetterli ; Jelena Kovačević |
| 264 | 1 | |a Englewood Cliffs, NJ |b Prentice Hall |c 1995 | |
| 300 | |a XVI, 488 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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| adam_text |
Contents
Preface
xiii
1
Wavelets, Filter Banks and Multiresolution Signal Processing
1
1.1
Series Expansions of Signals
3
1.2
Multiresolution Concept
9
1.3
Overview of the Book
10
2
Fundamentals of Signal Decompositions
14
2.1
Notations
15
2.2
Hubert Spaces
16
2.2.1
Vector Spaces and Inner Products
17
2.2.2
Complete Inner Product Spaces
20
2.2.3
Orthonormal
Bases
22
2.2.4
General Bases
25
2.2.5
Overcomplete Expansions
26
2.3
Elements of Linear Algebra
28
2.3.1
Basic Definitions and Properties
28
2.3.2
Linear Systems of Equations and Least Squares
31
2.3.3
Eigenvectors and Eigenvalues
32
2.3.4
Unitary Matrices
33
2.3.5
Special Matrices
34
2.3.6
Polynomial Matrices
34
vii
2.4
Fourier
Theory and Sampling
36
2.4.1
Signal Expansions and Nomenclature
36
2.4.2
Fourier Transform
37
2.4.3
Fourier Series
41
2.4.4
Dirac Function, Impulse Trains and
Poisson
Sum Formula
43
2.4.5
Sampling
45
2.4.6
Discrete-Time Fourier Transform
48
2.4.7
Discrete-Time Fourier Series
50
2.4.8
Discrete Fourier Transform
51
2.4.9
Summary of Various Flavors of Fourier Transforms
52
2.5
Signal Processing
52
2.5.1
Continuous-Time Signal Processing
56
2.5.2
Discrete-Time Signal Processing
59
2.5.3
Multirate Discrete-Time Signal Processing
65
2.6
Time-Frequency Representations
72
2.6.1
Frequency, Scale and Resolution
73
2.6.2
Uncertainty Principle
75
2.6.3
Short-Time Fourier Transform
77
2.6.4
Wavelet Transform
79
2.6.5
Block Transforms
80
2.6.6
Wigner-
Ville
Distribution
80
2.
A Bounded Linear Operators on Hubert Spaces
81
2.
В
Parametrization of Unitary Matrices
82
2.
B.I
Givens
Rotations
83
2.B.2 Householder Building Blocks
84
2.
С
Convergence and Regularity of Functions
85
2.
C.I Convergence
85
2.C.2 Regularity
86
3
Discrete-Time Bases and Filter Banks
92
3.1
Series Expansions of Discrete-Time Signals
95
3.1.1
Discrete-Time Fourier Series
96
3.1.2
Haar
Expansion of Discrete-Time Signals
98
3.1.3
Sine Expansion of Discrete-Time Signals
103
3.1.4
Discussion
106
3.2
Two-Channel Filter Banks
107
3.2.1
Analysis of Filter Banks
107
3.2.2
Results on Filter Banks
118
3.2.3
Analysis and Design of Orthogonal FIR Filter Banks
122
3.2.4
Linear Phase FIR Filter Banks
133
3.2.5
Filter Banks
with IIR
Filters
139
3.3
Tree-Structured
Filter Banks
142
3.3.1
Octave-Band Filter
Bank and Discrete-Time Wavelet
Series
143
3.3.2
Discrete-Time Wavelet
Series
and Its Properties
147
3.3.3
Multiresolution Interpretation of Octave-Band Filter Banksl51
3.3.4
General Tree-Structured Filter Banks and Wavelet Packets
153
3.4
Multichannel Filter Banks
156
3.4.1
Block and Lapped Orthogonal Transforms
157
3.4.2
Analysis of Multichannel Filter Banks
159
3.4.3
Modulated Filter Banks
165
3.5
Pyramids and Overcomplete Expansions
171
3.5.1
Oversampled Filter Banks
171
3.5.2
Pyramid Scheme
173
3.5.3
Overlap-Save/Add Convolution and Filter Bank Implemen¬
tations
175
3.6
Multidimensional Filter Banks
176
3.6.1
Analysis of Multidimensional Filter Banks
177
3.6.2
Synthesis of Multidimensional Filter Banks
181
3.7
Transmultiplexers and Adaptive Filtering in Subbands
185
3.7.1
Synthesis of Signals and Transmultiplexers
185
3.7.2
Adaptive Filtering in Subbands
187
3.A Lossless Systems
188
3.A.1 Two-Channel Factorizations
189
3.A.2 Multichannel Factorizations
190
3.B Sampling in Multiple Dimensions and Multirate Operations
194
Series Expansions Using Wavelets and Modulated Bases
201
4.1
Definition of the Problem
203
4.1.1
Series Expansions of Continuous-Time Signals
203
4.1.2
Time and Frequency Resolution of Expansions
206
4.1.3
Haar
Expansion
208
4.1.4
Discussion
213
4.2
Multiresolution Concept and Analysis
214
4.2.1
Axiomatic Definition of Multiresolution Analysis
214
4.2.2
Construction of the Wavelet
217
4.2.3
Examples of Multiresolution Analyses
220
4.3
Construction of Wavelets Using Fourier Techniques
223
4.3.1
Meyer's Wavelet
224
4.3.2
Wavelet Bases for Piecewise Polynomial Spaces
228
4.4
Wavelets Derived from Iterated Filter Banks and Regularity
237
4.4.1
Haar
and Sine
Cases
Revisited
237
4.4.2
Iterated Filter Banks
242
4.4.3
Regularity
247
4.4.4
Daubechies' Family of Regular Filters and Wavelets
256
4.5
Wavelet Series and Its Properties
259
4.5.1
Definition and Properties
260
4.5.2
Properties of Basis Functions
265
4.5.3
Computation of the Wavelet Series and Mallat's Algorithm
269
4.6
Generalizations in One Dimension
271
4.6.1 Biorthogonal
Wavelets
271
4.6.2
Recursive Filter Banks and Wavelets with Exponential
Decay
276
4.6.3
Multichannel Filter Banks and Wavelet Packets
278
4.7
Multidimensional Wavelets
281
4.7.1
Multiresolution Analysis and Two-Scale Equation
282
4.7.2
Construction of Wavelets Using Iterated Filter Banks
283
4.7.3
Generalization of
Haar
Basis to Multiple Dimensions
285
4.7.4
Design of Multidimensional Wavelets
286
4.8
Local Cosine Bases
289
4.8.1
Rectangular Window
289
4.8.2
Smooth Window
291
4.8.3
General Window
292
4.A Proof of Theorem
4.5 293
5
Continuous Wavelet and Short-Time Fourier Transforms
and Frames
299
5.1
Continuous Wavelet Transform
301
5.1.1
Analysis and Synthesis
301
5.1.2
Properties
304
5.1.3
Morlet Wavelet
311
5.2
Continuous Short-Time Fourier Transform
312
5.2.1
Properties
313
5.2.2
Examples
314
5.3
Frames of Wavelet and Short-Time Fourier Transforms
315
5.3.1
Discretization of Continuous-Time Wavelet and Short-Time
Fourier Transforms
316
5.3.2
Reconstruction in Frames
319
5.3.3
Frames of Wavelets and STFT
323
5.3.4
Remarks
330
Algorithms and Complexity
333
6.1
Classic Results
334
6.1.1
Fast Convolution
334
6.1.2
Fast Fourier Transform Computation
337
6.1.3
Complexity of Multirate Discrete-Time Signal Processing
341
6.2
Complexity of Discrete Bases Computation
345
6.2.1
Two-Channel Filter Banks
345
6.2.2
Filter Bank Trees and Discrete-Time Wavelet Transforms
348
6.2.3
Parallel and Modulated Filter Banks
352
6.2.4
Multidimensional Filter Banks
353
6.3
Complexity of Wavelet Series Computation
354
6.3.1
Expansion into Wavelet Bases
354
6.3.2
Iterated Filters
355
6.4
Complexity of Overcomplete Expansions
357
6.4.1
Short-Time Fourier Transform
357
6.4.2
"Algorithme à Trous"
358
6.4.3
Multiple Voices Per Octave
359
6.5
Special Topics
361
6.5.1
Computing Convolutions Using Multirate Filter Banks
361
6.5.2
Numerical Algorithms
365
Signal Compression and Subband Coding
369
7.1
Compression Systems Based on Linear Transforms
371
7.1.1
Linear Transformations
372
7.1.2
Quantization
376
7.1.3
Entropy Coding
389
7.1.4
Discussion
392
7.2
Speech and Audio Compression
393
7.2.1
Speech Compression
393
7.2.2
High-Quality Audio Compression
394
7.2.3
Examples
397
7.3
Image Compression
399
7.3.1
Transform and Lapped Transform Coding of Images
400
7.3.2
Pyramid Coding of Images
406
7.3.3
Subband and Wavelet Coding of Images
410
7.3.4
Advanced Methods in Subband and Wavelet Compression
422
7.4
Video Compression
431
7.4.1
Key Problems in Video Compression
431
7.4.2
Motion-Compensated Video Coding
437
7.4.3
Pyramid Coding of Video
438
7.4.4
Subband Decompositions for Video Representation and
Compression
440
7.4.5
Example: MPEG Video Compression Standard
447
7.5
Joint Source-Channel Coding
448
7.5.1
Digital Broadcast
449
7.5.2
Packet Video
451
7.A Statistical Signal Processing
451
Bibliography
461
Index
481 |
| any_adam_object | 1 |
| author | Vetterli, Martin 1959- Kovačević, Jelena |
| author_GND | (DE-588)120088258 |
| author_facet | Vetterli, Martin 1959- Kovačević, Jelena |
| author_role | aut aut |
| author_sort | Vetterli, Martin 1959- |
| author_variant | m v mv j k jk |
| building | Verbundindex |
| bvnumber | BV010595944 |
| callnumber-first | T - Technology |
| callnumber-label | TK5102 |
| callnumber-raw | TK5102.9 |
| callnumber-search | TK5102.9 |
| callnumber-sort | TK 45102.9 |
| callnumber-subject | TK - Electrical and Nuclear Engineering |
| classification_rvk | SK 450 ZN 6010 ZN 6025 |
| classification_tum | ELT 515f MAT 428f |
| ctrlnum | (OCoLC)1331880658 (DE-599)BVBBV010595944 |
| dewey-full | 621.382/2 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.382/2 |
| dewey-search | 621.382/2 |
| dewey-sort | 3621.382 12 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV010595944 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T06:37:07Z |
| institution | BVB |
| isbn | 0130970808 |
| language | English |
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| open_access_boolean | |
| owner | DE-92 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-M347 DE-29T DE-859 DE-523 DE-83 DE-739 DE-M100 |
| owner_facet | DE-92 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-M347 DE-29T DE-859 DE-523 DE-83 DE-739 DE-M100 |
| physical | XVI, 488 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Prentice Hall |
| record_format | marc |
| series2 | Prentice-Hall signal processing series |
| spellingShingle | Vetterli, Martin 1959- Kovačević, Jelena Wavelets and subband coding Ondelettes ram Signaalverwerking gtt Traitement du signal - Techniques numériques ram Wavelets gtt codage inriac compression inriac décomposition inriac ondelette inriac temps discret inriac traitement signal inriac transformée Fourier inriac Signal processing Digital techniques Wavelets (Mathematics) Signalverarbeitung (DE-588)4054947-1 gnd Datenkompression (DE-588)4121121-2 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4054947-1 (DE-588)4121121-2 (DE-588)4215427-3 |
| title | Wavelets and subband coding |
| title_auth | Wavelets and subband coding |
| title_exact_search | Wavelets and subband coding |
| title_full | Wavelets and subband coding Martin Vetterli ; Jelena Kovačević |
| title_fullStr | Wavelets and subband coding Martin Vetterli ; Jelena Kovačević |
| title_full_unstemmed | Wavelets and subband coding Martin Vetterli ; Jelena Kovačević |
| title_short | Wavelets and subband coding |
| title_sort | wavelets and subband coding |
| topic | Ondelettes ram Signaalverwerking gtt Traitement du signal - Techniques numériques ram Wavelets gtt codage inriac compression inriac décomposition inriac ondelette inriac temps discret inriac traitement signal inriac transformée Fourier inriac Signal processing Digital techniques Wavelets (Mathematics) Signalverarbeitung (DE-588)4054947-1 gnd Datenkompression (DE-588)4121121-2 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Ondelettes Signaalverwerking Traitement du signal - Techniques numériques Wavelets codage compression décomposition ondelette temps discret traitement signal transformée Fourier Signal processing Digital techniques Wavelets (Mathematics) Signalverarbeitung Datenkompression Wavelet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007066326&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT vetterlimartin waveletsandsubbandcoding AT kovacevicjelena waveletsandsubbandcoding |