Wavelets and subbands: fundamentals and applications
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
2002
|
| Series: | Applied and numerical harmonic analysis
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 551 S. Ill., graph. Darst. |
| ISBN: | 081764136X 376434136X |
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MARC
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| 100 | 1 | |a Abbate, Agostino |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wavelets and subbands |b fundamentals and applications |c Agostino Abbate ; Casimer M. DeCusatis ; Pankaj K. Das |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 2002 | |
| 300 | |a XVII, 551 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Applied and numerical harmonic analysis | |
| 650 | 4 | |a Frequency spectra | |
| 650 | 4 | |a Signal processing | |
| 650 | 4 | |a Wavelets (Mathematics) | |
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Record in the Search Index
| _version_ | 1808045748773715968 |
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| adam_text |
CONTENTS
PREFA
"
.
ML
NOTATION
.
.
1.
INTRODUCTION
.
1
1.1
HISTORICAL
REVIEW:
FROM
FOURIER
ANALYSIS
TO
WAVELET
ANALYSIS
AND
SUBBAND
.
3
1.2
ORGANIZATION
OF
THIS
BOOK
.
8
1.3
REFERENCES
.
11
PART
I:
FUNDAMENTALS
.
13
2.
WAVELET
FUNDAMENTALS
.
15
2.1
INTRODUCTION
.
15
2.2
WHY
WAVELET
TRANSFORMS?
.
18
2.3
FOURIER
TRANSFORM
AS
A
WAVE
TRANSFORM
.
20
2.4
WAVELET
TRANSFORM
.
23
2.5
CONNECTION
BETWEEN
WAVELETS
AND
FILTERS
.
26
VIII
CONTENTS
2.6
TIME-FREQUENCY
ANALYSIS:
SHORT-TIME
FOURIER
TRANSFORM,
GABOR
TRANSFORM,
AND
TILING
IN
THE
TIME-FREQUENCY
PLANE
.
37
2.7
EXAMPLES
OF
WAVELETS
.
44
2.8
FROM
THE
CONTINUOUS
TO
THE
DISCRETE
CASE
.
47
2.9
FRAMES
.
49
2.10
SUBBANDS
.
53
2.11
MULTIRESOLUTION
ANALYSIS
.
65
2.12
MATRIX
FORMULATION
.
69
2.13
MULTIRESOLUTION
REVISITED
.
72
2.14
TWO-DIMENSIONAL
CASE
.
90
2.15
DWT
AND
SUBBAND
EXAMPLE
.
92
2.16
IMPLEMENTATIONS
.
95
2.17
SUMMARY
AND
CONCLUSIONS
.
96
2.18
REFERENCES
.
97
PART
II:
WAVELETS
AND
SUBBANDS
.
101
3.
TIME
AND
FREQUENCY
ANALYSIS
OF
SIGNALS
.
103
3.1
INTRODUCTION
.
103
3.1.1
FUNDAMENTALS
OF
SIGNAL
ANALYSIS
.
103
3.1.2
UNCERTAINTY
PRINCIPLE
.
118
3.2
WINDOWED
FOURIER
TRANSFORM:
SHORT-TIME
FOURIER
TRANSFORM
AND
GABOR
TRANSFORM
.
121
3.2.1
GENERAL
PROPERTIES
OF
THE
WINDOWED
FOURIER
TRANSFORM
.
131
3.2.2
UNCERTAINTY
PRINCIPLE
FOR
WINDOWED
FOURIER
TRANSFORM
.
136
3.2.3
INVERSE
WINDOWED
FOURIER
TRANSFORM
.
146
3.3
CONTINUOUS
WAVELET
TRANSFORM
.
147
3.3.1
MATHEMATICS
OF
THE
CONTINUOUS
WAVELET
TRANSFORM
.
150
CONTENTS
IX
3.3.2
PROPERTIES
OF
THE
CONTINUOUS
WAVELET
TRANSFORM
.
154
3.3.3
INVERSE
WAVELET
TRANSFORM
.
160
3.3.4
EXAMPLES
OF
MOTHER
WAVELETS
.
163
3.4
ANALYTIC
WAVELET
TRANSFORM
.
166
3.4.1
ANALYTIC
SIGNALS
.
166
3.4.2
ANALYTIC
WAVELET
TRANSFORM
ON
REAL
SIGNALS
.
172
3.4.3
PHYSICAL
INTERPRETATION
OF
AN
ANALYTIC
SIGNAL
.
181
3.5
QUADRATIC
TIME-FREQUENCY
DISTRIBUTIONS
.
184
3.6
REFERENCES
.
186
4.
DISCRETE
WAVELET
TRANSFORM:
FROM
FRAMES
TO
FAST
WAVELET
TRANSFORM
.
189
4.1
INTRODUCTION
.
189
4.2
FUNDAMENTALS
OF
FRAME
THEORY
.
193
4.3
SAMPLING
THEOREM
.
199
4.4
WAVELET
FRAMES
.
202
4.5
EXAMPLES
OF
WAVELET
FRAMES
.
206
4.6
TIME-FREQUENCY
LOCALIZATION
.
210
4.7
ORTHONORMAL
DISCRETE
WAVELET
TRANSFORMS
.
212
4.8
MULTIRESOLUTION
ANALYSIS
.
218
4.9
SCALING
FUNCTIONS
.
230
4.10
CONSTRUCTION
OF
WAVELET
BASES
USING
MULTIRESOLUTION
ANALYSIS
.
237
4.11
WAVELET
BASES
.
241
4.11.1
SHANNON
WAVELET
.
.
244
4.11.2
MEYER
WAVELET
.
246
4.11.3
HAAR
WAVELET
.
248
4.11.4
BATTLE-LEMARIE
(SPLINE)
WAVELETS
.
250
4.12
DAUBECHIES
COMPACTLY
SUPPORTED
WAVELETS
.
251
4.13
FAST
WAVELET
TRANSFORM
.
259
X
CONTENTS
4.14
BIORTHOGONAL
WAVELET
BASES
.
265
4.15
REFERENCES
.
270
5.
THEORY
OF
SUBBAND
DECOMPOSITION
.
273
5.1
INTRODUCTION
.
273
5.2
FUNDAMENTALS
OF
DIGITAL
SIGNAL
PROCESSING
.
275
5.3
MULTIRATE
SYSTEMS
.
278
5.4
POLYPHASE
DECOMPOSITION
.
286
5.5
TWO-CHANNEL
FILTER
BANK/PR
FILTER
.
298
5.6
BIORTHOGONAL
FILTERS
.
307
5.7
LIFTING
SCHEME
.
310
5.8
M-BANDCASE
.
312
5.9
APPLICATIONS
OF
MULTIRATE
FILTERING
.
322
5.10
REFERENCES
.
336
6.
TWO-DIMENSIONAL
WAVELET
TRANSFORMS
AND
APPLICATIONS
.
339
6.1
INTRODUCTION
.
339
6.2
ORTHOGONAL
PYRAMID
TRANSFORMS
.
341
6.3
PROGRESSIVE
TRANSFORMS
FOR
LOSSLESS
AND
LOSSY
IMAGE
CODING
.
348
6.4
EMBEDDED
ZEROTREE
WAVELETS
.
359
6.5
REFERENCES
.
379
PART
III:
APPLICATIONS
.
383
7.
APPLICATIONS
OF
WAVELETS
IN
THE
ANALYSIS
OF
TRANSIENT
SIGNALS
.
385
7.1
INTRODUCTION
.
385
7.2
INTRODUCTION
TO
TIME-FREQUENCY
ANALYSIS
OF
TRANSIENT
SIGNALS
.
387
CONTENTS
XI
7.2.1
ULTRASONIC
SYSTEMS
.
388
7.2.2
ULTRASONIC
CHARACTERIZATION
OF
COATINGS
BY
THE
RIDGES
OF
THE
ANALYTIC
WAVELET
TRANSFORM
.
394
7.2.3
CHARACTERIZATION
OF
COATINGS
.
404
7.3.
BIOMEDICAL
APPLICATION
OF
WAVELETS:
ANALYSIS
OF
EEG
SIGNALS
FOR
MONITORING
DEPTH
OF
ANESTHESIA
.
407
7.3.1
WAVELET
SPECTRAL
ANALYSIS
OF
EEG
SIGNALS
.
412
7.3.2
SYSTEM
RESPONSE
WAVELET
ANALYSIS
OF
EEG
SIGNALS
.
415
7.3.3
DISCUSSION
OF
RESULTS
.
416
7.4
REFERENCES
.
417
8.
APPLICATIONS
OF
SUBBAND
AND
WAVELET
TRANSFORM
IN
COMMUNICATION
SYSTEMS
.
423
8.1
INTRODUCTION
.
423
8.2
APPLICATIONS
IN
SPREAD
SPECTRUM
COMMUNICATION
SYSTEMS
.
425
8.2.1
EXCISION
.
426
8.2.2
ADAPTIVE
FILTER-BANK
EXCISER
.
433
8.2.3
TRANSFORM-BASED
LOW
PROBABILITY
OF
INTERCEPT
RECEIVER
.
437
8.2.4
APPLICATION
OF
MULTIRATE
FILTER
BANK
IN
SPREADING
CODE
GENERATION
AND
MULTIPLE
ACCESS
.
440
8.3
MODULATION
USING
FILTER
BANKS
AND
WAVELETS
.
446
8.4
MULTITONE
MODULATION
.
447
8.5
NOISE
REDUCTION
IN
AUDIO
AND
IMAGES
USINGWAVELETS
.
448
8.6.
AUDIO/VIDEO/IMAGE
COMPRESSION
.
458
8.6.
PROGRESSIVE
PATTERN
RECOGNITION
.
466
8.7
REFERENCES
.
469
XII
CONTENTS
9.
REAL-TIME
IMPLEMENTATIONS
OF
WAVELET
TRANSFORMS
.
473
9.1
DIGITAL
VLSI
IMPLEMENTATION
.
473
9.2
OPTICAL
IMPLEMENTATION
.
481
9.2.1
MATRIX
PROCESSING
AND
NEURAL
NETWORKS
.
489
9.2.2
ACOUSTO-OPTIC
DEVICES
.
490
9.2.3
OTHER
OPTICAL
IMPLEMENTATIONS
.
498
9.3.
REFERENCES
.
503
APPENDIX
.
507
A.
FOURIER
TRANSFORM
.
507
B.
DISCRETE
FOURIER
TRANSFORM
.
510
C.
Z-TRANSFORM
.
516
D.
ORTHOGONAL
REPRESENTATION
OF
SIGNALS
.
517
BIBLIOGRAPHY
.
521
INDEX
.
543 |
| any_adam_object | 1 |
| author | Abbate, Agostino DeCusatis, Casimer M. Das, Pankaj K. 1937- |
| author_GND | (DE-588)123621305 (DE-588)11289903X |
| author_facet | Abbate, Agostino DeCusatis, Casimer M. Das, Pankaj K. 1937- |
| author_role | aut aut aut |
| author_sort | Abbate, Agostino |
| author_variant | a a aa c m d cm cmd p k d pk pkd |
| building | Verbundindex |
| bvnumber | BV014181527 |
| 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 SK 880 ZN 6025 |
| classification_tum | ELT 515f MAT 428f |
| ctrlnum | (OCoLC)248664622 (DE-599)BVBBV014181527 |
| 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.BV014181527 |
| illustrated | Illustrated |
| indexdate | 2024-08-22T00:33:12Z |
| institution | BVB |
| isbn | 081764136X 376434136X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009719689 |
| oclc_num | 248664622 |
| open_access_boolean | |
| owner | DE-29T DE-M347 DE-703 DE-91 DE-BY-TUM DE-83 DE-11 DE-188 |
| owner_facet | DE-29T DE-M347 DE-703 DE-91 DE-BY-TUM DE-83 DE-11 DE-188 |
| physical | XVII, 551 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Applied and numerical harmonic analysis |
| spelling | Abbate, Agostino Verfasser aut Wavelets and subbands fundamentals and applications Agostino Abbate ; Casimer M. DeCusatis ; Pankaj K. Das Boston [u.a.] Birkhäuser 2002 XVII, 551 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied and numerical harmonic analysis Frequency spectra Signal processing Wavelets (Mathematics) Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Frequenzband (DE-588)4225227-1 gnd rswk-swf Signalanalyse (DE-588)4181260-8 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Signalverarbeitung (DE-588)4054947-1 s Wavelet (DE-588)4215427-3 s DE-604 Signalanalyse (DE-588)4181260-8 s Frequenzband (DE-588)4225227-1 s DeCusatis, Casimer M. Verfasser (DE-588)123621305 aut Das, Pankaj K. 1937- Verfasser (DE-588)11289903X aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009719689&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Abbate, Agostino DeCusatis, Casimer M. Das, Pankaj K. 1937- Wavelets and subbands fundamentals and applications Frequency spectra Signal processing Wavelets (Mathematics) Signalverarbeitung (DE-588)4054947-1 gnd Frequenzband (DE-588)4225227-1 gnd Signalanalyse (DE-588)4181260-8 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4054947-1 (DE-588)4225227-1 (DE-588)4181260-8 (DE-588)4215427-3 (DE-588)4143413-4 |
| title | Wavelets and subbands fundamentals and applications |
| title_auth | Wavelets and subbands fundamentals and applications |
| title_exact_search | Wavelets and subbands fundamentals and applications |
| title_full | Wavelets and subbands fundamentals and applications Agostino Abbate ; Casimer M. DeCusatis ; Pankaj K. Das |
| title_fullStr | Wavelets and subbands fundamentals and applications Agostino Abbate ; Casimer M. DeCusatis ; Pankaj K. Das |
| title_full_unstemmed | Wavelets and subbands fundamentals and applications Agostino Abbate ; Casimer M. DeCusatis ; Pankaj K. Das |
| title_short | Wavelets and subbands |
| title_sort | wavelets and subbands fundamentals and applications |
| title_sub | fundamentals and applications |
| topic | Frequency spectra Signal processing Wavelets (Mathematics) Signalverarbeitung (DE-588)4054947-1 gnd Frequenzband (DE-588)4225227-1 gnd Signalanalyse (DE-588)4181260-8 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Frequency spectra Signal processing Wavelets (Mathematics) Signalverarbeitung Frequenzband Signalanalyse Wavelet Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009719689&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT abbateagostino waveletsandsubbandsfundamentalsandapplications AT decusatiscasimerm waveletsandsubbandsfundamentalsandapplications AT daspankajk waveletsandsubbandsfundamentalsandapplications |