Multirate and wavelet signal processing:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
San Diego [u.a.]
Acad. Press
1998
|
| Series: | Wavelet analysis and its applications
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 199 S. graph. Darst. |
| ISBN: | 0126775605 |
Staff View
MARC
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| 100 | 1 | |a Suter, Bruce W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multirate and wavelet signal processing |c Bruce W. Suter |
| 264 | 1 | |a San Diego [u.a.] |b Acad. Press |c 1998 | |
| 300 | |a XII, 199 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Electric filters |x Mathematics | |
| 650 | 4 | |a Signal processing |x Digital techniques |x Mathematics | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface x i
1 Multirate Signal Processing 1
1 1 Introduction 1
1 2 Foundations of multirate 1
121 Sampling considerations 1
122 Sampled signals 3
1221 z-Transforms 4
1222 Discrete Fourier transform 4
1223 Modulation representation 5
1224 Polyphase representation 5
1 3 Basic building blocks 7
131 Expanders 7
132 Decimators 9
133 Comb filters 14
1 4 Interchanging basic building blocks 19
141 Interchanging decimators and expanders 19
142 Noble identities 23
1421 Interchanging filters and expanders 24
1422 Interchanging filters and decimators 25
15A filter bank example 26
1 6 Problems 27
2 Multidimensional Multirate Signal Processing 29
2 1 Introduction 29
2 2 Multidimensional framework 29
221 Sampling lattices 30
2211 Linear independence and sampling lattices 30
2212 Nonuniqueness and unimodular matrices 34
2213 Unit cells and fundamental parallelepipeds 36
2214 Sublattices and cosets 38
2215 Elementary operations 40
2216 Smith form decomposition 41
vii
Contents
viii
222 Multidimensional sampled signals 43
2221 Vector mathematics 44
2222 Multidimensional z-transform 44
2223 Multidimensional discrete Fourier transform 46
2224 The Smith form and the DFT 51
2225 Modulation representation 52
2226 Polyphase representation 54
2 3 Multidimensional building blocks 57
231 Multidimensional expanders 57
232 Multidimensional decimators 59
233 Multidimensional comb filters 63
2 4 Interchanging building blocks 64
241 Interchanging decimators and expanders 64
242 Multidimensional noble identities 68
2421 Interchanging filters and expanders 69
2422 Interchanging filters and decimators 69
2 5 Problems 70
3 Multirate Filter Banks 73
3 1 Introduction 73
3 2 Quadrature mirror filter banks 74
321 Source coding and QMF banks 74
322 Filter bank formulations 75
3221 Alias-component formulation of filter banks 75
3222 Polyphase formulation of filter banks 82
3223 Relationship between formulations 84
323A multirate source-coding design example 86
324 Quantization effects and filter banks 88
3241 Leibnitz’s rule 89
3242 Continuous random variables 90
3243 Lloyd-Max quantizers 91
3244 Quantizer models 93
3245 Filter bank with quantizers 97
3 3 Foundations of filter banks 98
331 Alias-free filter banks 98
3311 Pseudocirculant matrices 98
3312 Eliminating alias distortion 99
332 Perfect reconstruction filter banks 105
3321 Paraunitary matrices 105
3322 Exploring alias-free filter banks 106
3323 Amplitude distortion-free filter bank 109
3324 Perfect reconstruction filter banks 109
333 Filter bank formulations in retrospect 112
Contents
ix
3 4 Filter banks for spectral analysis 112
341 DFT filter bank 112
342 Cosine-modulated filter banks 114
3421 Reversal matrices 114
3422 Cosine-modulated matrices 115
3423 Cosine-modulated filter banks 120
343A generalization: Malvar wavelets 123
3 5 Multidimensional QMF banks 127
351 Multidimensional filter bank formulations 128
3511 Alias-component filter banks 128
3512 Polyphase formulation of filter banks 133
3513 Relationship between formulations 135
352 Multidimensional alias-free filter banks 136
3521 Generalized pseudocirculant matrices 136
3522 Alias-free filter banks 140
3523 Perfect reconstruction QMF bank 142
3 6 Problems 142
4 Lattice Structures 145
4 1 Introduction 145
4 2 Framework for lattice structures 145
421 Multi-input multi-output systems 145
4211 Lossless systems 146
4212 Impulse response matrix 146
4213 Polynomial matrices : 147
4214 Unimodular polynomial matrices 148
4215 Rank of a polynomial matrix 148
422 Smith-McMillan form 149
4221 Elementary operations 149
4222 Smith form decomposition 150
4223 Theoretical development 153
423 McMillan degree of a system 154
4 3 Structures for lossless systems 156
431 Householder factorizations of unitary matrices 156
432A fundamental degree-one building block 158
433 Structures for lossless systems 161
4 4 Problems 165
5 Wavelet Signal Processing 167
5 1 Introduction 167
5 2 Wavelet transform 167
521 Definition and properties 168
5211 Linearity property 168
X
Contents
5212 Similarity theorem 169
5213 Shift theorem 169
5214 Differentiation theorem 170
5215 Convolution theorem 171
522 Radar signal processing and wavelets 171
5 3 Multiresolution analysis 172
531 Definition, properties, and implementation 172
5311 Inner products 172
5312 Biorthogonality 174
5313 Riesz basis 176
5314 Direct sums 176
5315 Multiresolution analysis 178
5316 Scaling functions 181
5317 Wavelets 182
5318 Filter-bank implementation 183
5319 Initial projection coefficients 185
531 10 Reflections on the wavelet transform 186
532 Image compression and wavelets 186
533A generalization: biorthogonal wavelets 186
534 Case study: wavelets in data communications 187
5 4 Problems 189
Bibliography 191
Index
|
| any_adam_object | 1 |
| author | Suter, Bruce W. |
| author_facet | Suter, Bruce W. |
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| author_sort | Suter, Bruce W. |
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| bvnumber | BV011809365 |
| callnumber-first | T - Technology |
| callnumber-label | TK5103 |
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| callnumber-search | TK5103.7 |
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| callnumber-subject | TK - Electrical and Nuclear Engineering |
| classification_rvk | SK 450 ZN 6040 |
| ctrlnum | (OCoLC)37397976 (DE-599)BVBBV011809365 |
| 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 | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:16:07Z |
| institution | BVB |
| isbn | 0126775605 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007974116 |
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| owner_facet | DE-29T DE-703 DE-384 |
| physical | XII, 199 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Acad. Press |
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| series | Wavelet analysis and its applications |
| series2 | Wavelet analysis and its applications |
| spelling | Suter, Bruce W. Verfasser aut Multirate and wavelet signal processing Bruce W. Suter San Diego [u.a.] Acad. Press 1998 XII, 199 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wavelet analysis and its applications 8 PROCESSAMENTO DE SINAIS larpcal Signaalverwerking gtt Wavelets gtt Mathematik Electric filters Mathematics Signal processing Digital techniques Mathematics Wavelets (Mathematics) Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Digitale Signalverarbeitung (DE-588)4113314-6 gnd rswk-swf Wavelet (DE-588)4215427-3 s Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 s DE-604 Signalverarbeitung (DE-588)4054947-1 s Digitale Signalverarbeitung (DE-588)4113314-6 s Wavelet analysis and its applications 8 (DE-604)BV005851987 8 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007974116&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Suter, Bruce W. Multirate and wavelet signal processing Wavelet analysis and its applications PROCESSAMENTO DE SINAIS larpcal Signaalverwerking gtt Wavelets gtt Mathematik Electric filters Mathematics Signal processing Digital techniques Mathematics Wavelets (Mathematics) Signalverarbeitung (DE-588)4054947-1 gnd Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 gnd Wavelet (DE-588)4215427-3 gnd Digitale Signalverarbeitung (DE-588)4113314-6 gnd |
| subject_GND | (DE-588)4054947-1 (DE-588)4270290-2 (DE-588)4215427-3 (DE-588)4113314-6 |
| title | Multirate and wavelet signal processing |
| title_auth | Multirate and wavelet signal processing |
| title_exact_search | Multirate and wavelet signal processing |
| title_full | Multirate and wavelet signal processing Bruce W. Suter |
| title_fullStr | Multirate and wavelet signal processing Bruce W. Suter |
| title_full_unstemmed | Multirate and wavelet signal processing Bruce W. Suter |
| title_short | Multirate and wavelet signal processing |
| title_sort | multirate and wavelet signal processing |
| topic | PROCESSAMENTO DE SINAIS larpcal Signaalverwerking gtt Wavelets gtt Mathematik Electric filters Mathematics Signal processing Digital techniques Mathematics Wavelets (Mathematics) Signalverarbeitung (DE-588)4054947-1 gnd Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 gnd Wavelet (DE-588)4215427-3 gnd Digitale Signalverarbeitung (DE-588)4113314-6 gnd |
| topic_facet | PROCESSAMENTO DE SINAIS Signaalverwerking Wavelets Mathematik Electric filters Mathematics Signal processing Digital techniques Mathematics Wavelets (Mathematics) Signalverarbeitung Mehrdimensionale Signalverarbeitung Wavelet Digitale Signalverarbeitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007974116&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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