Time-frequency analysis methods in hydrology and hydraulic engineering:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Wuppertal
Univ.
2005
|
| Schriftenreihe: | Bericht
14 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 296 S. graph. Darst. |
Internformat
MARC
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| 245 | 1 | 0 | |a Time-frequency analysis methods in hydrology and hydraulic engineering |c Torsten Schlurmann |
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Datensatz im Suchindex
| _version_ | 1804149645453033472 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
TABLE O F C O N T E N T S III
LIST O F FIGURES VIII
LIST O F T A B L E S IX
P R E F A C E XII
I T H E N A M E O F T H E G A M E 1
1 I N T R O D U C T I O N 3
1.1 HISTORICAL DEVELOPMENTS 5
2 SIGNAL A N A L Y S I S IN T I M E D O M A I N 9
2.1 INTRODUCTION 9
2.2 T I M E SERIES CONSISTENCY 14
2.2.1 CORRELATION FUNCTION 15
2.2.2 TRANSFORMATIONS A N D FILTERS 17
2.2.3 NON-RECURSIVE FILTERS 18
2.2.4 RECURSIVE FILTERS 28
2.2.5 CONCLUDING REMARKS 35
2.2.6 REGRESSION WITH LOGISTICAL FUNCTIONS 36
2.2.7 STOCHASTIC TECHNIQUES IN TIME SERIES ANALYSIS 3 7
II T I M E - I N V A R I A N T ANALYSIS 4 1
3 F O U R I E R ANALYSIS 4 3
3.1 INTRODUCTION 4 3
3.2 FOURIER TRANSFORM 44
3.2.1 GENERALIZED FOURIER TRANSFORM ( G F T ) 45
3.2.2 SAMPLING THEOREM A N D NYQUIST FREQUENCY 46
3.2.3 - DISCRETE A N D FINITE SIGNALS 4 7
HTTP://D-NB.INFO/1028518080
IMAGE 2
3.2.4 SPECTRAL SMOOTHING 56
3.2.5 SPECTRAL P A R A M E T E R 65
III T I M E - V A R I A N T ANALYSIS 7 5
4 N O N - S T A T I O N A R Y S I G N A L S 7 7
4.1 INTRODUCTION 77
4.2 HEISENBERG-GABOR PRINCIPLE 79
4.2.1 INSTANTANEOUS FREQUENCY 80
4.2.2 G R O U P DELAY 8 3
4.3 SHORT-TIME FOURIER TRANSFORM 84
4.3.1 G A B O R TRANSFORMATION 85
4.3.2 T H E DISCRETE S T F T 86
4.4 S T F T OF ACADEMIC EXAMPLES 8 7
5 W A V E L E T T R A N S F O R M A T I O N S 1 0 1
5.1 INTRODUCTION 101
5.2 CONTINUOUS WAVELET, TRANSFORMATION ( C W T ) 102
5.2.1 CONTINUOUS WAVELET TRANSFORMATION ON DISCRETE SIGNALS . . . . 104
5.2.2 TIME-FREQUENCY RESOLUTION 106
5.2.3 SCALING FUNCTION 109
5.2.4 SCALOGRAM, WAVELET VARIANCE A N D COVARIANCE 110
5.2.5 EXAMPLES MOTHER WAVELETS 112
5.2.6 IN-DEPTH SCALOGRAM ASSESSMENT 123
5.3 DISCRETE WAVELET TRANSFORMATION ( D W T ) 132
5.3.1 ONE-STAGE A N D MULTIPLE-LEVEL FILTERING 132
5.3.2 RECONSTRUCTION FILTERS 134
5.3.3 RELATIONSHIP OF FILTERS A N D WAVELETS 136
5.3.4 HAAR WAVELET 137
5.3.5 DAUBECHIES WAVELETS 149
5.3.6 O T H E R DISCRETE WAVELETS 160
5.4 MAXIMAL OVERLAP DISCRETE WAVELET TRANSFORMATION ( M O D W T ) . . .
. 162 5.5 HILBERT SPECTRA OF M O D W T DECOMPOSED SIGNALS 174
6 O T H E R T I M E - F R E Q U E N C Y A N A L Y S I S T E C H N I Q U
E S 1 8 5
6.1 INTRODUCTION 185
6.2 T H E WIGNER-VILLE DISTRIBUTION ( W V D ) 186
6.3 EVOLUTIONARY SPECTRUM 187
6.4 T H E EMPIRICAL ORTHOGONAL FUNCTION EXPANSION ( E O F ) 188
6.5 O T H E R MISCELLANEOUS METHODS 189
IMAGE 3
C O N T E N T S III
7 HILBERT T R A N S F O R M A T I O N 1 9 1
7.1 PRELIMINARIES 191
7.2 INTRODUCTION 192
7.3 T H E HILBERT-HUANG TRANSFORMATION 194
7.3.1 EMPIRICAL MODE DECOMPOSITION 194
7.3.2 CONCLUSIVE REMARKS ON T H E H H T TECHNIQUE 202
IV PRACTICAL A P P L I C A T I O N S ( P R S ) 2 0 9
8 T I M E - F R E Q U E N C Y A N A L Y S I S O F T I M E S E R I E S 2
1 1
8.1 PRELIMINARIES 211
8.2 DAILY EVAPORATION T I M E SERIES ( P R JJL) 211
8.2.1 P E N M A N EQUATION 213
8.2.2 PENMAN-MONTEITH EQUATION 214
8.2.3 HAUDE TECHNIQUE 216
8.2.4 DAILY EVAPORATION D A T A IN LIIDENSCHCID, G E R M A N Y 217
8.3 DISTRIBUTION OF T A E D C O N T A M I N A N T IN RIVERS ( P R II2)
233
8.3.1 LONG-TERM T A E D CONCENTRATION RATES 234
8.3.2 INVESTIGATION ON WEEKLY T A E D CONCENTRATION RATES IN RIVER MAIN
236 8.3.3 INVESTIGATION ON MONTHLY T A E D CONCENTRATION RATES IN RIVER
RHINE 269
N O T A T I O N O F V A R I A B L E S 2 8 1
A B B R E V I A T I O N S 2 8 3
BIBLIOGRAPHY 2 8 5
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| indexdate | 2024-07-10T00:26:19Z |
| institution | BVB |
| language | English |
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| physical | XII, 296 S. graph. Darst. |
| publishDate | 2005 |
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| series | Bericht |
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| spelling | Schlurmann, Torsten 1971- Verfasser (DE-588)121541932 aut Time-frequency analysis methods in hydrology and hydraulic engineering Torsten Schlurmann Wuppertal Univ. 2005 XII, 296 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Bericht 14 Zugl.: Wuppertal, Univ., Habil.-Schr., 2004 Zeit-Frequenz-Analyse (DE-588)4626990-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Zeit-Frequenz-Analyse (DE-588)4626990-3 s DE-604 Bericht 14 (DE-604)BV000728043 14 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025397498&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schlurmann, Torsten 1971- Time-frequency analysis methods in hydrology and hydraulic engineering Bericht Zeit-Frequenz-Analyse (DE-588)4626990-3 gnd |
| subject_GND | (DE-588)4626990-3 (DE-588)4113937-9 |
| title | Time-frequency analysis methods in hydrology and hydraulic engineering |
| title_auth | Time-frequency analysis methods in hydrology and hydraulic engineering |
| title_exact_search | Time-frequency analysis methods in hydrology and hydraulic engineering |
| title_full | Time-frequency analysis methods in hydrology and hydraulic engineering Torsten Schlurmann |
| title_fullStr | Time-frequency analysis methods in hydrology and hydraulic engineering Torsten Schlurmann |
| title_full_unstemmed | Time-frequency analysis methods in hydrology and hydraulic engineering Torsten Schlurmann |
| title_short | Time-frequency analysis methods in hydrology and hydraulic engineering |
| title_sort | time frequency analysis methods in hydrology and hydraulic engineering |
| topic | Zeit-Frequenz-Analyse (DE-588)4626990-3 gnd |
| topic_facet | Zeit-Frequenz-Analyse Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025397498&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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