Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
New York [u.a.]
Springer
1996
|
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007325293&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | XXI, 338 S. Ill., graph. Darst. |
| ISBN: | 0387947140 |
Staff View
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Record in the Search Index
| _version_ | 1819357217620492288 |
|---|---|
| adam_text | ANDREW BRUCE HONG-YE GAO APPLIED WAVELET ANALYSIS WITH S-PLUS WITH 192
ILLUSTRATIONS SPRINGER CONTENTS 1 INTRODUCTION 1 . 1.1 EXAMPLE 1:
DIGITAL IMAGE COMPRESSION 2 1.2 EXAMPLE 2: NOISE REMOVAL 4 1.3 EXAMPLE
3: TIME-FREQUENCY ANALYSIS 6 1.4 EXAMPLE 4: PROTOTYPING FAST ALGORITHMS
7 1.5 REFERENCES FOR WAVELET ANALYSIS 8 2 WAVELET ANALYSIS OF 1-D
SIGNALS 11 2.1 WAVELET FUNCTIONS AND APPROXIMATIONS 11 2.1.1 FATHER AND
MOTHER WAVELETS 13 2.1.2 THE WAVELET APPROXIMATION 14 2.1.3 LOCATION AND
SCALE FAMILIES 15 2.1.4 ORTHOGONAL WAVELET FAMILIES 16 2.2 THE DISCRETE
WAVELET TRANSFORM 19 2.2.1 COMPUTING THE DISCRETE WAVELET TRANSFORM 19
2.2.2 DWT OBJECTS 22 2.2.3 THE INVERSE DISCRETE WAVELET TRANSFORM . 24
2.2.4 THE WAVELET APPROXIMATION USING THE LARGEST COEFFICIENTS 24 2.3
MULTIRESOLUTION ANALYSIS 27 2.3.1 COMPUTING A MULTIRESOLUTION
DECOMPOSITION 27 X CONTENTS 2.3.2 MULTIRESOLUTION APPROXIMATION 29 2.3.3
ZOOMING FEATURE OF MULTIRESOLUTION ANALYSIS 30 2.4 TIME-SCALE VIEW OF
WAVELETS 31 2.5 BIORTHOGONAL WAVELETS 34 2.6 PYRAMID ALGORITHM 37 2.6.1
FORWARD ALGORITHM TO COMPUTE THE DWT 37 2.6.2 BACKWARD ALGORITHM TO
COMPUTE THE IDWT 38 3 WAVELET ANALYSIS OF IMAGES 41 3.1 2-D WAVELET
FUNCTIONS 41 3.1.1 2-D WAVELET FAMILIES 42 3.1.2 THE 2-D WAVELET
APPROXIMATION 44 3.2 2-D DISCRETE WAVELET TRANSFORM 45 3.2.1 COMPUTING
THE 2-D DWT 45 3.2.2 2-D DWT OBJECTS 48 3.2.3 THE INVERSE 2-D DWT 49 3.3
MULTIRESOLUTION ANALYSIS OF IMAGES 50 3.3.1 COMPUTING A 2-D
MULTIRESOLUTION DECOMPOSITION 50 4 EXPLORATORY WAVELET ANALYSIS 53 4.1
EXPLORATORY 1-D WAVELET ANALYSIS 53 4.1.1 SUMMARIES OF DWT OBJECTS 54
4.1.2 SUMMARIES OF DECOMPOSITION OBJECTS ... 58 4.1.3 SUMMARIES OF
CRYSTALS 60 4.2 VISUAL AND STATISTICAL SUMMARIES FOR THE 2-D DWT 62 5
MORE ON WAVELET ANALYSIS 67 5.1 SELECTING OPTIONS FOR WAVELET ANALYSIS
68 5.1.1 SELECTING THE MULTIRESOLUTION LEVEL . . . . 68 5.1.2 SELECTING
A WAVELET 69 5.2 EXTRACTING CRYSTALS FROM A DWT OBJECT 72 5.2.1
EXTRACTING CRYSTALS FROM 1-D DWT OBJECTS 72 5.2.2 EXTRACTING CRYSTALS
FROM 2-D DWT OBJECTS 73 5.3 CREATING WAVELET PACKETS 74 5.4 MATH AND
LOGICAL OPERATORS APPLIED TO DWT OBJECTS 75 5.5 REPLACEMENT IN DWT
OBJECTS 75 5.5.1 REPLACEMENT USING LOGICAL VECTORS . . . . 76 5.5.2
SIMULATION OF MULTISCALE PROCESSES 78 CONTENTS XI 5.6 SUBSCRIPTING BY
COEFFICIENT 79 5.7 BYPASSING THE DWT SUBSCRIPT, ASSIGNMENT, AND MATH
OPERATORS 81 NONPARAMETRIC ESTIMATION WITH WAVELETS 83 6.1 NONPARAMETRIC
REGRESSION AND SMOOTHING . . . . 84 6.2 UNDERSTANDING WAVELET SHRINKAGE
86 6.2.1 WAVELETS ARE GOOD BUILDING BLOCKS .... 86 6.2.2 NOISE AFFECTS
ALL WAVELET COEFFICIENTS ... 86 6.2.3 DE-NOISING BY WAVELET SHRINKAGE 87
6.2.4 THE WAVESHRINK ALGORITHM 88 6.2.5 THEORETICAL PROPERTIES OF
WAVELET SHRINKAGE 90 6.3 ASSESSING THE WAVESHRINK FIT 90 6.4 TUNING THE
SMOOTH 94 6.4.1 SELECTING THE SHRINKAGE FUNCTION 94 6.4.2 SELECTING THE
SHRINKAGE THRESHOLD 97 6.4.3 ESTIMATING THE SCALE OF THE NOISE 99 6.4.4
CHOOSING THE RESOLUTIONS TO SHRINK . . . . 100 6.4.5 EXTRA-FINE TUNING
100 6.5 COMPARISON WITH OTHER SMOOTHERS 101 6.6 VARIANCE AND BIAS
ESTIMATION IN WAVESHRINK . . . 102 6.7 BOOTSTRAPPING WAVESHRINK 103 6.8
WAVESHRINK APPLIED TO SPECTRAL DENSITY ESTIMATION 105 WAVELET PACKET
ANALYSIS 111 7.1 WAVELET PACKETS ILL 7.1.1 WAVELET PACKET FAMILIES . .
113 7.1.2 WAVELET PACKET LOCATION AND SCALE FAMILIES 114 7.2 WAVELET
PACKET TABLES 114 7.2.1 COMPUTING A WAVELET PACKET TABLE . . . . 116
7.2.2 WAVELET PACKET TABLE OBJECTS 117 7.3 WAVELET PACKET TRANSFORMS 118
7.3.1 OBTAINING THE DWT FROM A TABLE 119 7.3.2 SELECTING A LEVEL 120
7.3.3 GENERAL WAVELET PACKET TRANSFORMS . . . . 120 7.3.4 INVERTING
WAVELET PACKET TRANSFORMS ... 122 7.3.5 DECOMPOSING A WAVELET PACKET
TRANSFORM 123 7.3.6 TIME-FREQUENCY PLOTS FOR WAVELET PACKETS 125 7.4 THE
BEST BASIS ALGORITHM 128 7.4.1 COMPUTING A BEST BASIS 128 XII CONTENTS
7.4.2 COMPUTING THE BEST LEVEL 129 7.4.3 USING TREE PLOTS TO VISUALIZE
BASES . . . . 130 7.4.4 WAVELET PACKET COST TABLES 132 7.5 WAVELET
PACKET ANALYSIS OF A SPEECH SIGNAL . . . . 135 8 COSINE PACKET ANALYSIS
143 8.1 .DISCRETE COSINE TRANSFORM 144 8.1.1 DCT TYPES 144 8.1.2
COMPUTING THE DCT 145 8.1.3 BLOCK DCT 146 8.2 COSINE PACKETS 149 8.2.1
SPECIAL TAPERING FUNCTIONS 150 8.2.2 DYADIC COSINE PACKET FAMILIES 151
8.3 COSINE PACKET TRANSFORMS 153 8.3.1 BLOCK COSINE PACKET TRANSFORM 154
.8.3.2 COSINE PACKET TRANSFORM OBJECTS 154 8.3.3 INVERTING AND
DECOMPOSING CPTS 156 8.3.4 TIME-FREQUENCY PLOTS WITH CPTS 158 8.4 COSINE
PACKET TABLES 159 8.4.1 COMPUTING A COSINE PACKET TABLE 160 8.4.2
SELECTING COSINE PACKET TRANSFORMS FROM TABLES 161 8.4.3 BEST BASIS
SELECTION FOR COSINE PACKETS . . 162 8.5 COSINE PACKET ANALYSIS OF A
SPEECH SIGNAL 165 9 WAVELET PACKET AND COSINE PACKET ANALYSIS OF IMAGES
171 9.1 2-D WAVELET AND COSINE PACKET FUNCTIONS 171 9.2 2-D PACKET
TRANSFORMS 173 9.2.1 COMPUTING 2-D WAVELET PACKET TRANSFORMS 174 9.2.2
COMPUTING 2-D COSINE PACKET TRANSFORMS 177 9.3 BEST BASIS SELECTION IN
2-D 180 9.4 ANALYSIS OF A DIGITAL FINGERPRINT IMAGE 184 9.4.1 PROPOSED
FBI STANDARD FOR COMPRESSION . 185 9.4.2 BEST BASIS ANALYSIS OF
FINGERPRINTS . . . . 190 10 MATCHING PURSUIT AND MOLECULES 197 10.1
MATCHING PURSUIT DECOMPOSITIONS 197 10.2 COMPUTING A MATCHING PURSUIT
TRANSFORM . . . . 200 10.3 MOLECULE AND ATOM OBJECTS 203 CONTENTS XIII
10.4 COMPARISON WITH DWT AND BEST BASIS 204 11 VARIATIONS ON WAVELET
ANALYSIS 211 11.1 NON-DECIMATED WAVELETS 211 11.1.1 WAVELET SHRINKAGE
WITH NON-DECIMATED WAVELETS 212 11.1.2 THE D IRONS WAVELET TRANSFORM
215 11.2 ROBUST SMOOTHER-CLEANER WAVELETS 216 11.2.1 SMOOTHER-CLEANER
ALGORITHM 217 11.2.2 COMPUTING THE ROBUST SMOOTHER-CLEANER DWT 219
11.2.3 SELECTING THE ROBUST DWT 221 11.3 CREATING AND USING YOUR OWN
WAVELETS 223 11.3.1 CREATING NEW WAVELETS 223 11.3.2 ANALYSIS WITH YOUR
OWN WAVELET FUNCTIONS 225 12 WAVELET ALGORITHMS AND FILTERS 229 12.1
WAVELET FILTERS 230 12.1.1 ORTHOGONAL WAVELET FILTERS 230 12.1.2
CONVOLUTION FORMULAS 231 12.1.3 TRANSFER FUNCTIONS 232 12.1.4
BIORTHOGONAL WAVELET FILTERS 234 12.2 IMPLEMENTING THE PYRAMID ALGORITHM
238 12.3 THE DWT AS A LINEAR TRANSFORM 239 12.4 PROPERTIES OF WAVELET
FUNCTIONS 242 12.5 THE DILATION EQUATION 244 12.5.1 EVALUATING A WAVELET
FUNCTION AT THE DYADICS 245 12.5.2 EVALUATING A WAVELET FUNCTION AT THE
INTEGERS 246 12.6 ALGORITHMS FOR THE 2-D DWT 247 13 WAVELET PACKET AND
COSINE PACKET ALGORITHMS 251 13.1 WAVELET PACKET FILTERS AND ALGORITHMS
252 13.1.1 THE SPLITTING ALGORITHM 252 13.1.2 WAVELET PACKET FILTERS 253
13.1.3 EVALUATING A WAVELET PACKET FUNCTION . . . 255 13.2 COSINE PACKET
ALGORITHMS 256 13.2.1 COMPUTING THE DCT 256 13.2.2 COMPUTING THE COSINE
PACKET TRANSFORM . 257 13.2.3 TAPERS FOR ORTHOGONAL COSINE PACKETS ...
260 XIV CONTENTS 13.2.4 BOUNDARY EXTENSION RULES 261 13.3 ALGORITHMS FOR
2-D PACKETS 263 13.3.1 THE 2-D WPT ALGORITHM 263 13.3.2 THE 2-D CPT
ALGORITHM 264 14 BOUNDARY CONDITIONS FOR WAVELET ANALYSIS 267 14.1 TYPES
OF BOUNDARY TREATMENT RULES 268 14.2 CONSIDERATIONS IN SELECTING A
BOUNDARY METHOD . 271 14.3 COMPARING BOUNDARY TREATMENTS 273 14.4
BOUNDARY CORRECTION ALGORITHMS 275 14.4.1 EXAMINING THE MATRIX OPERATORS
276 A ORTHOGONAL WAVELET FUNCTIONS 279 B BIORTHOGONAL WAVELET FUNCTIONS
287 C WAVELET CLASSES AND OBJECTS 295 C.I 1-D TRANSFORM AND ANALYSIS
OBJECTS 295 C.I.I 1-D TRANSFORMS 295 C.I.2 DECOMPOSE OBJECTS 298 C.I.3
OTHER 1-D ANALYSIS OBJECTS 299 C.2 CRYSTALS, MOLECULES, AND ATOMS 299
C.2.1 CRYSTALS 299 C.2.2 MOLECULES AND ATOMS 300 C.3 2-D TRANSFORM AND
ANALYSIS OBJECTS 301 C.3.1 2-D TRANSFORM OBJECTS 301 C.3.2 OTHER 2-D
OBJECTS 302 C.4 WAVELET FUNCTIONS, FILTERS, AND DICTIONARIES . . . 302 D
S+WAVELETS FUNCTION LIST 305 REFERENCES 317 INDEX 327
|
| any_adam_object | 1 |
| author | Bruce, Andrew Gao, Hong-Ye |
| author_facet | Bruce, Andrew Gao, Hong-Ye |
| author_role | aut aut |
| author_sort | Bruce, Andrew |
| author_variant | a b ab h y g hyg |
| building | Verbundindex |
| bvnumber | BV010951804 |
| 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 ST 250 ST 601 |
| ctrlnum | (OCoLC)34471569 (DE-599)BVBBV010951804 |
| dewey-full | 621.382/2/015152433 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.382/2/015152433 |
| dewey-search | 621.382/2/015152433 |
| dewey-sort | 3621.382 12 815152433 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Informatik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV010951804 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:03:43Z |
| institution | BVB |
| isbn | 0387947140 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007325293 |
| oclc_num | 34471569 |
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| owner | DE-739 DE-12 DE-824 DE-703 DE-634 DE-83 DE-11 |
| owner_facet | DE-739 DE-12 DE-824 DE-703 DE-634 DE-83 DE-11 |
| physical | XXI, 338 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Bruce, Andrew Gao, Hong-Ye Applied wavelet analysis with S-PLUS Analise de series temporais larpcal Estatistica larpcal Ingénierie assistée par ordinateur ram Ondelettes - Logiciels ram S-PLUS inriac S-Plus (logiciel) ram Traitement du signal - Mathématiques ram analyse temps-fréquence inriac compression image inriac estimation non paramétrique inriac image numérique inriac ondelette inriac traitement signal inriac Datenverarbeitung Mathematik Computer-aided engineering S (Computer program language) Signal processing Mathematics Wavelets (Mathematics) Data processing S-PLUS (DE-588)4321162-8 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4321162-8 (DE-588)4215427-3 |
| title | Applied wavelet analysis with S-PLUS |
| title_alt | S-Plus |
| title_auth | Applied wavelet analysis with S-PLUS |
| title_exact_search | Applied wavelet analysis with S-PLUS |
| title_full | Applied wavelet analysis with S-PLUS Andrew Bruce ; Hong-Ye Gao |
| title_fullStr | Applied wavelet analysis with S-PLUS Andrew Bruce ; Hong-Ye Gao |
| title_full_unstemmed | Applied wavelet analysis with S-PLUS Andrew Bruce ; Hong-Ye Gao |
| title_short | Applied wavelet analysis with S-PLUS |
| title_sort | applied wavelet analysis with s plus |
| topic | Analise de series temporais larpcal Estatistica larpcal Ingénierie assistée par ordinateur ram Ondelettes - Logiciels ram S-PLUS inriac S-Plus (logiciel) ram Traitement du signal - Mathématiques ram analyse temps-fréquence inriac compression image inriac estimation non paramétrique inriac image numérique inriac ondelette inriac traitement signal inriac Datenverarbeitung Mathematik Computer-aided engineering S (Computer program language) Signal processing Mathematics Wavelets (Mathematics) Data processing S-PLUS (DE-588)4321162-8 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Analise de series temporais Estatistica Ingénierie assistée par ordinateur Ondelettes - Logiciels S-PLUS S-Plus (logiciel) Traitement du signal - Mathématiques analyse temps-fréquence compression image estimation non paramétrique image numérique ondelette traitement signal Datenverarbeitung Mathematik Computer-aided engineering S (Computer program language) Signal processing Mathematics Wavelets (Mathematics) Data processing Wavelet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007325293&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bruceandrew appliedwaveletanalysiswithsplus AT gaohongye appliedwaveletanalysiswithsplus AT bruceandrew splus AT gaohongye splus |