Nonlinear system identification by Haar wavelets:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schriftenreihe: | Lecture notes in statistics
210 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XI, 139 S. Ill., graph. Darst. |
| ISBN: | 3642293956 9783642293955 |
Internformat
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Datensatz im Suchindex
| _version_ | 1807954280576974848 |
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| adam_text |
IMAGE 1
CONTENTS
1 INTRODUCTION 1
2 HAMMERSTEIN SYSTEMS 5
2.1 OTHER SYSTEMS 8
2.2 NOTES 10
3 IDENTIFICATION GOAL 13
3.1 NOTES 15
4 HAAR ORTHOGONAL BASES 17
4.1 CLASSIC HAAR WAVELETS 17
4.1.1 MULTIRESOLUTION ANALYSIS 18
4.1.2 MULTISCALE APPROXIMATION 19
4.1.3 REPRODUCING KERNEL APPROXIMATION 19
4.1.4 MULTIRESOLUTION REPRESENTATION 2 0
4.1.5 EQUIVALENT REPRESENTATIONS AND FAST WAVELET TRANSFORM 23
4.1.6 LIFTING TRANSFORM FOR HAAR WAVELETS 24
4.1.7 CONVERGENCE 24
4.1.8 POINTWISE CONVERGENCE 24
4.1.9 CONVERGENCE AT JUMPS 25
4.1.10 CONVERGENCE RATE 26
4.1.11 GLOBAL CONVERGENCE 28
4.1.12 LINEAR APPROXIMATION 28
4.1.13 NONLINEAR APPROXIMATION 31
4.2 UNBALANCED HAAR WAVELETS 34
4.2.1 LINEAR APPROXIMATION 35
4.2.2 UNBALANCED HAAR WAVELETS 38
4.2.3 UNBALANCED HAAR TRANSFORM 39
4.2.4 UHT AND E Z W NONLINEAR APPROXIMATION 4 0
HTTP://D-NB.INFO/1020804238
IMAGE 2
X C O N T E N T S
5 IDENTIFICATION ALGORITHMS 4 3
5.1 NUMERICAL ILLUSTRATIONS 4 5
5.2 QUOTIENT ORTHOGONAL SERIES ALGORITHM 4 6
5.2.1 CONVERGENCE 48
5.2.2 CONVERGENCE RATES 4 8
5.3 NONLINEAR QOS ALGORITHM 5 0
5.3.1 CONVERGENCE 52
5.3.2 CONVERGENCE RATES 52
5.4 ORDER STATISTICS (OS) ALGORITHM 5 4
5.4.1 CONVERGENCE 56
5.4.2 CONVERGENCE RATES 56
5.5 NONLINEAR OS ALGORITHM 58
5.5.1 CONVERGENCE AND CONVERGENCE RATES 58
5.6 EMPIRICAL DISTRIBUTION ALGORITHM 6 0
5.6.1 CONVERGENCE 62
5.6.2 CONVERGENCE RATES 63
5.7 NONLINEAR ED ALGORITHM 6 4
5.7.1 CONVERGENCE AND CONVERGENCE RATES 65
5.8 EMPIRICAL ORTHOGONAL SERIES ALGORITHM 6 6
5.8.1 CONVERGENCE 68
5.8.2 CONVERGENCE RATES 6 9
5.9 NONLINEAR EOS ALGORITHM 70
5.9.1 CONVERGENCE AND CONVERGENCE RATES 7 0
5.10 REMARKS AND COMMENTS 72
5.10.1 CONVERGENCE RATES COMPARISON 72
5.10.2 COMMON REPRESENTATION 72
5.10.3 APPLICATION O F INTERPOLATION SCHEMES 74
6 COMPUTATIONAL ALGORITHMS 77
6.1 LINEAR AND NONLINEAR ALGORITHMS IMPLEMENTATIONS 78
6.1.1 QOS ALGORITHM 78
6.1.2 OS ALGORITHM 79
6.1.3 ED ALGORITHM 81
6.1.4 EOS ALGORITHM 84
6.2 LINEAR ALGORITHMS COMPLEXITIES 87
6.3 NONLINEAR ALGORITHMS 87
6.3.1 IMPLEMENTATION O F THE E Z W SCHEME 88
6.3.2 COMPLEXITY O F THE EZW SCHEME IMPLEMENTATION 90
6.4 OVERALL COMPLEXITY O F THE NONLINEAR ALGORITHMS 91
6.5 COMPUTATIONAL STABILITY 92
7 FINAL REMARKS 95
7.1 ASYMPTOTIC PROPERTIES 95
7.2 COMPUTATIONAL PROPERTIES 97
7.3 LINEAR VERSUS NONLINEAR ALGORITHMS 98
IMAGE 3
C O N T E N T S XI
A TECHNICAL DERIVATIONS 99
A.L QOS ALGORITHMS 100
A. 1.1 CONVERGENCE 101
A. 1.2 CONVERGENCE RATES 107
A. 1.3 NONLINEAR ALGORITHM 110
A.2 OS ALGORITHMS 113
A.2.1 CONVERGENCE 113
A.3 ED ALGORITHMS 119
A.3.1 CONVERGENCE 120
A.4 EOS ALGORITHMS 124
A.4.1 CONVERGENCE 124
B COMMON SYMBOLS 127
REFERENCES 129
INDEX 137 |
| any_adam_object | 1 |
| author | Śliwiński, Przemysław 1971- |
| author_GND | (DE-588)1027720927 |
| author_facet | Śliwiński, Przemysław 1971- |
| author_role | aut |
| author_sort | Śliwiński, Przemysław 1971- |
| author_variant | p ś pś |
| building | Verbundindex |
| bvnumber | BV040542258 |
| classification_rvk | SI 856 |
| ctrlnum | (OCoLC)820396299 (DE-599)DNB1020804238 |
| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-08-21T00:19:22Z |
| institution | BVB |
| isbn | 3642293956 9783642293955 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025388134 |
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| physical | XI, 139 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in statistics |
| series2 | Lecture notes in statistics |
| spelling | Śliwiński, Przemysław 1971- Verfasser (DE-588)1027720927 aut Nonlinear system identification by Haar wavelets Przemysław Śliwiński Berlin [u.a.] Springer 2013 XI, 139 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in statistics 210 Haar-Funktionensystem (DE-588)4158638-4 gnd rswk-swf Nichtparametrisches Verfahren (DE-588)4339273-8 gnd rswk-swf Systemidentifikation (DE-588)4121753-6 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Systemidentifikation (DE-588)4121753-6 s Nichtparametrisches Verfahren (DE-588)4339273-8 s Wavelet (DE-588)4215427-3 s Haar-Funktionensystem (DE-588)4158638-4 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-29396-2 Lecture notes in statistics 210 (DE-604)BV002447846 210 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3994319&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025388134&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Śliwiński, Przemysław 1971- Nonlinear system identification by Haar wavelets Lecture notes in statistics Haar-Funktionensystem (DE-588)4158638-4 gnd Nichtparametrisches Verfahren (DE-588)4339273-8 gnd Systemidentifikation (DE-588)4121753-6 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4158638-4 (DE-588)4339273-8 (DE-588)4121753-6 (DE-588)4215427-3 |
| title | Nonlinear system identification by Haar wavelets |
| title_auth | Nonlinear system identification by Haar wavelets |
| title_exact_search | Nonlinear system identification by Haar wavelets |
| title_full | Nonlinear system identification by Haar wavelets Przemysław Śliwiński |
| title_fullStr | Nonlinear system identification by Haar wavelets Przemysław Śliwiński |
| title_full_unstemmed | Nonlinear system identification by Haar wavelets Przemysław Śliwiński |
| title_short | Nonlinear system identification by Haar wavelets |
| title_sort | nonlinear system identification by haar wavelets |
| topic | Haar-Funktionensystem (DE-588)4158638-4 gnd Nichtparametrisches Verfahren (DE-588)4339273-8 gnd Systemidentifikation (DE-588)4121753-6 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Haar-Funktionensystem Nichtparametrisches Verfahren Systemidentifikation Wavelet |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3994319&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025388134&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002447846 |
| work_keys_str_mv | AT sliwinskiprzemysław nonlinearsystemidentificationbyhaarwavelets |