An introduction to wavelets:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Acad. Press
1992
|
| Schriftenreihe: | Wavelet analysis and its applications
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 251 - 255 |
| Beschreibung: | X, 266 S. |
| ISBN: | 0121745848 |
Internformat
MARC
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| 100 | 1 | |a Chui, Charles K. |d 1940- |e Verfasser |0 (DE-588)12038695X |4 aut | |
| 245 | 1 | 0 | |a An introduction to wavelets |c Charles K. Chui |
| 264 | 1 | |a Boston [u.a.] |b Acad. Press |c 1992 | |
| 300 | |a X, 266 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Wavelet analysis and its applications |v 1 | |
| 500 | |a Literaturverz. S. 251 - 255 | ||
| 650 | 7 | |a Analise Funcional |2 larpcal | |
| 650 | 4 | |a Analyse harmonique | |
| 650 | 7 | |a Harmonische analyse |2 gtt | |
| 650 | 4 | |a Ondelettes | |
| 650 | 7 | |a Tecnologia De Microondas |2 larpcal | |
| 650 | 7 | |a Wavelets |2 gtt | |
| 650 | 4 | |a Wavelets (Mathematics) | |
| 650 | 0 | 7 | |a Wavelet |0 (DE-588)4215427-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Wavelet |0 (DE-588)4215427-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Wavelet analysis and its applications |v 1 |w (DE-604)BV005851987 |9 1 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-003888900 | ||
Datensatz im Suchindex
| _version_ | 1804120377725550592 |
|---|---|
| adam_text | Contents
Preface
.................................................................
юс
1.
An Overview
........................................................1
1.1.
From Fourier analysis to wavelet analysis
..........................1
1.2.
The integral wavelet transform and time-frequency analysis
........6
1.3.
Inversion formulas and duals
......................................9
1.4.
Classification of wavelets
.........................................13
1.5.
Multiresolution analysis, splines, and wavelets
....................16
1.6.
Wavelet decompositions and reconstructions
......................18
2.
Fourier Analysis
....................................................23
2.1.
Fourier and inverse Fourier transforms
............................23
2.2.
Continuous-time convolution and the delta function
..............27
2.3.
Fourier transform of square-integrable functions
..................32
2.4.
Fourier series
....................................................36
2.5.
Basic convergence theory and Poisson s summation formula
.......43
3.
Wavelet Transforms and Time-Frequency Analysis
.............49
3.1.
The
Gabor
transform
............................................50
3.2.
Short-time Fourier transforms and the Uncertainty Principle
......54
3.3.
The integral wavelet transform
...................................60
3.4.
Dyadic wavelets and inversions
...................................64
3.5.
Frames
..........................................................68
3.6.
Wavelet series
....................................................74
4.
Cardinal Spline Analysis
..........................................81
4.1.
Cardinal spline spaces
............................................81
4.2.
ΰ
-splines
and their basic properties
..............................85
4.3.
The two-scale relation and an
interpolatory
graphical display algorithm
....................................90
4.4.
B-net representations and computation of cardinal splines
........95
4.5.
Construction of spline approximation formulas
...................100
4.6.
Construction of spline interpolation formulas
....................109
vii
viii Contents
5.
Scaling Functions and Wavelets
..................................119
5.1.
Multiresolution analysis
.........................................120
5.2.
Scaling functions with finite two-scale relations
..................128
5.3.
Direct-sum decompositions of L2(R)
............................140
5.4.
Wavelets and their duals
........................................146
5.5.
Linear-phase filtering
...........................................159
5.6.
Compactly supported wavelets
..................................168
6.
Cardinal Spline-Wavelets
.........................................177
6.1.
Interpolatory
spline-wavelets
....................................177
6.2.
Compactly supported spline-wavelets
............................182
6.3.
Computation of cardinal spline-wavelets
.........................187
6.4.
Euler-Frobenius polynomials
....................................195
6.5.
Error analysis in spline-wavelet decomposition
...................199
6.6.
Total
positivity,
complete oscillation, zero-crossings
..............207
7.
Orthogonal Wavelets and Wavelet Packets
......................215
7.1.
Examples of orthogonal wavelets
................................215
7.2.
Identification of orthogonal two-scale symbols
...................220
7.3.
Construction of compactly supported orthogonal wavelets
........229
7.4.
Orthogonal wavelet packets
......................................236
7.5.
Orthogonal decomposition of wavelet series
......................240
Notes
.................................................................245
References
............................................................251
Subject Index
.........................................................257
Appendix
..............................................................
265
|
| any_adam_object | 1 |
| author | Chui, Charles K. 1940- |
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| classification_tum | MAT 428f |
| ctrlnum | (OCoLC)25048519 (DE-599)BVBBV006149935 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV006149935 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:41:07Z |
| institution | BVB |
| isbn | 0121745848 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003888900 |
| oclc_num | 25048519 |
| open_access_boolean | |
| owner | DE-384 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-739 DE-20 DE-19 DE-BY-UBM DE-703 DE-29T DE-824 DE-355 DE-BY-UBR DE-92 DE-M347 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-384 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-739 DE-20 DE-19 DE-BY-UBM DE-703 DE-29T DE-824 DE-355 DE-BY-UBR DE-92 DE-M347 DE-634 DE-83 DE-11 DE-188 |
| physical | X, 266 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Acad. Press |
| record_format | marc |
| series | Wavelet analysis and its applications |
| series2 | Wavelet analysis and its applications |
| spelling | Chui, Charles K. 1940- Verfasser (DE-588)12038695X aut An introduction to wavelets Charles K. Chui Boston [u.a.] Acad. Press 1992 X, 266 S. txt rdacontent n rdamedia nc rdacarrier Wavelet analysis and its applications 1 Literaturverz. S. 251 - 255 Analise Funcional larpcal Analyse harmonique Harmonische analyse gtt Ondelettes Tecnologia De Microondas larpcal Wavelets gtt Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s DE-604 Wavelet analysis and its applications 1 (DE-604)BV005851987 1 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003888900&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chui, Charles K. 1940- An introduction to wavelets Wavelet analysis and its applications Analise Funcional larpcal Analyse harmonique Harmonische analyse gtt Ondelettes Tecnologia De Microondas larpcal Wavelets gtt Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4215427-3 |
| title | An introduction to wavelets |
| title_auth | An introduction to wavelets |
| title_exact_search | An introduction to wavelets |
| title_full | An introduction to wavelets Charles K. Chui |
| title_fullStr | An introduction to wavelets Charles K. Chui |
| title_full_unstemmed | An introduction to wavelets Charles K. Chui |
| title_short | An introduction to wavelets |
| title_sort | an introduction to wavelets |
| topic | Analise Funcional larpcal Analyse harmonique Harmonische analyse gtt Ondelettes Tecnologia De Microondas larpcal Wavelets gtt Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Analise Funcional Analyse harmonique Harmonische analyse Ondelettes Tecnologia De Microondas Wavelets Wavelets (Mathematics) Wavelet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003888900&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005851987 |
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