Statistical signal decomposition techniques for analyzing time-variable satellite gravimetry data
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
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München
Verlag der Bayerischen Akademie der Wissenschaften
2014
Bonn Univ. Bonn, Inst. für Geodäsie und Geoinformation |
| Schriftenreihe: | Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften
Reihe C, Dissertationen ; 763 |
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| 100 | 1 | |a Forootan, Ehsan |e Verfasser |0 (DE-588)1060738333 |4 aut | |
| 245 | 1 | 0 | |a Statistical signal decomposition techniques for analyzing time-variable satellite gravimetry data |c Ehsan Forootan |
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| 264 | 1 | |a Bonn |b Univ. Bonn, Inst. für Geodäsie und Geoinformation |c 2014 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | I
CONTENTS
1 INTRODUCTION 1
1.1 BACKGROUND 1
1.2 MOTIVATION 3
1.2.1 SIGNAL-NOISE SEPARATION PROBLEM 3
1.2.2 SIGNAL-SIGNAL SEPARATION PROBLEM 4
1.3 APPLICATION OF STATISTICS IN SIGNAL SEPARATION 5
1.4 AIMS AND OBJECTIVES OF THE PRESENT STUDY 7
1.5 OUTLINE OF THE THESIS 10
2 GRACE OBSERVATIONS OF MASS CHANGES 12
2.1 PROM GEOPOTENTIAL COEFFICIENTS TO TOTAL WATER STORAGE (TWS) CHANGES
13
2.1.1 LOW DEGREE COEFFICIENTS 14
2.1.2 SMOOTHING 15
2.1.3 AREA AVERAGING 16
2.1.4 LEAKAGE PROBLEM 16
2.1.5 GLACIAL ISOSTATIC ADJUSTMENT 17
2.1.6 ERROR ESTIMATION 17
2.2 HIGH-FREQUENCY ATMOSPHERIC AND OCEANIC MASS REDISTRIBUTION 18
2.3 COMPUTATIONAL STEPS FOR ESTIMATING TWS CHANGES 21
3 SECOND ORDER STATISTICAL SIGNAL DECOMPOSITION 22
3.1 PRINCIPAL COMPONENT ANALYSIS/EMPIRICAL ORTHOGONAL FUNCTION (PCA/EOF)
... 22
3.1.1 CENTRAL IDEA OF PC A 23
3.1.2 PC A FROM EIGENVALUE DECOMPOSITION 23
3.1.3 PCA AS A DATA WHITENING METHOD 27
3.2 ROTATED EOF 28
3.3 EXTENDED EOF/MULTI-CHANNEL SINGULAR SPECTRUM ANALYSIS 30
3.4 COMPLEX EOF 32
3.5 STATISTICAL TESTS FOR THE SIGNIFICANCE OF MODES 36
3.5.1 DOMINANT-VARIANCE RULES 37
3.5.1.1 SIMPLE RULES 38
3.5.1.2 CONSIDERING SAMPLING ERRORS 39
3.5.2 TIME-HISTORY TESTS 41
3.6 ERROR ESTIMATION OF RECONSTRUCTION 43
HTTP://D-NB.INFO/1060769832
II
CONTENTS
4 HIGHER ORDER STATISTICAL SIGNED DECOMPOSITION 45
4.1 BLIND SOURCE SEPARATION 46
4.2 STATISTICAL INDEPENDENCE 48
4.3 INDEPENDENT COMPONENT ANALYSIS (ICA) 49
4.4 A REMARK ON THE APPLICATION OF ICA FOR NOISE REDUCTION IN GRACE
PRODUCTS . 51
4.5 ON INDEPENDENCE CRITERIA 53
4.5.1 ICA BY JOINT DIAGONALIZATION OF THE FOURTH-ORDER CUMULANT TENSOR
... 54
4.5.1.1 JOINT DIAGONALIZATION (JD) 56
4.5.1.2 SPATIAL AND TEMPORAL ICA ALGORITHMS 57
4.5.2 ALTERNATIVE ICA CRITERIA BASED ON JOINT DIAGONALIZATION OF
CUMULANTS . . 58
4.5.3 COMPLEX ICA BY JOINT DIAGONALIZATION OF THE FOURTH-ORDER CUMULANT
TENSOR 59
4.5.3.1 SPATIAL AND TEMPORAL COMPLEX ICA ALGORITHMS 60
4.5.4 ICA BASED ON ENTROPY 61
4.6 SEPARATION OF DETERMINISTIC SIGNALS 62
4.6.1 SETUP OF THE PROOF 62
4.6.2 SEPARATION OF SINUSOIDAL SIGNALS AND A LINEAR TREND 63
4.6.3 NUMERICAL ILLUSTRATION 65
4.7 SUMMARY OF THE INTRODUCED STATISTICAL DECOMPOSITION TECHNIQUES 67
4.8 UNCERTAINTY COMPUTATION OF THE ICA DECOMPOSITION 68
5 APPLICATIONS OF STATISTICAL SIGNAL SEPARATION TECHNIQUES FOR ANALYZING
GRACE-TWS 69
5.1 DECOMPOSITION OF GRACE-LIKE SIMULATED TOTAL WATER STORAGE CHANGES 69
5.1.1 PERFORMANCE ANALYSIS OF THE PCA, REOF AND ICA 69
5.1.2 PERFORMANCE ANALYSIS OF PCA AND ICA FOR A REGIONAL CASE 73
5.1.3 PERFORMANCE ANALYSIS FOR A CASE WITH PROPAGATING SIGNALS 74
5.2 INDEPENDENT PATTERNS OF GLOBAL TOTAL WATER STORAGE CHANGES 78
5.2.1 TEMPORALLY INDEPENDENT PATTERNS FROM GLOBAL GRACE-TWS CHANGES . .
78
5.2.2 EXTRACTING THE EL NINO PATTERN FROM GLOBAL GRACE-TWS CHANGES ...
81
5.2.3 SUMMARY AND DISCUSSION OF THE GLOBAL RESULTS 82
5.3 INDEPENDENT PATTERNS OF TOTAL WATER STORAGE CHANGES OVER AUSTRALIA
83
5.3.1 NUMERICAL RESULTS OVER AUSTRALIA 84
CONTENTS III
5.3.2 SUMMARY AND DISCUSSION OF THE RESULTS OVER AUSTRALIA 90
5.4 STATISTICAL PARTITIONING OF TOTAL WATER STORAGE CHANGES 91
5.4.1 METHODOLOGY OF STATISTICAL TWS PARTITIONING 92
5.4.2 NUMERICAL RESULTS OVER THE MIDDLE EAST REGION 94
5.4.3 SUMMARY AND DISCUSSION OF THE STATISTICAL PARTITIONING RESULTS 95
5.5 MULTIVARIATE FORECASTING OF TOTAL WATER STORAGE CHANGES 96
5.5.1 REQUIRED DATA FOR FORECASTING TWS 96
5.5.2 METHODOLOGY OF STATISTICAL FORECASTING 96
5.5.3 NUMERICAL RESULTS OVER WEST AFRICA 98
5.5.4 SUMMARY AND DISCUSSION OF THE FORECAST RESULTS 103
6 CONCLUSION AND OUTLOOK 104
6.1 CONCLUSION 104
6.2 OUTLOOK 107
ACRONYMS 111
LISTS 113
LIST OF FIGURES 113
LIST OF TABLES 118
REFERENCES 119
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| id | DE-604.BV042231083 |
| illustrated | Illustrated |
| indexdate | 2024-12-24T04:17:21Z |
| institution | BVB |
| isbn | 9783769651751 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027669386 |
| oclc_num | 898082590 |
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| physical | III, 131 S. Ill., graph. Darst. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Verlag der Bayerischen Akademie der Wissenschaften Univ. Bonn, Inst. für Geodäsie und Geoinformation |
| record_format | marc |
| series | Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften |
| series2 | Schriftenreihe / Institut für Geodäsie und Geoinformation Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften : Reihe C, Dissertationen |
| spellingShingle | Forootan, Ehsan Statistical signal decomposition techniques for analyzing time-variable satellite gravimetry data Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften Geodäsie (DE-588)4020202-1 gnd Methode (DE-588)4038971-6 gnd Gravimetrie (DE-588)4138998-0 gnd |
| subject_GND | (DE-588)4020202-1 (DE-588)4038971-6 (DE-588)4138998-0 (DE-588)4113937-9 |
| title | Statistical signal decomposition techniques for analyzing time-variable satellite gravimetry data |
| title_auth | Statistical signal decomposition techniques for analyzing time-variable satellite gravimetry data |
| title_exact_search | Statistical signal decomposition techniques for analyzing time-variable satellite gravimetry data |
| title_full | Statistical signal decomposition techniques for analyzing time-variable satellite gravimetry data Ehsan Forootan |
| title_fullStr | Statistical signal decomposition techniques for analyzing time-variable satellite gravimetry data Ehsan Forootan |
| title_full_unstemmed | Statistical signal decomposition techniques for analyzing time-variable satellite gravimetry data Ehsan Forootan |
| title_short | Statistical signal decomposition techniques for analyzing time-variable satellite gravimetry data |
| title_sort | statistical signal decomposition techniques for analyzing time variable satellite gravimetry data |
| topic | Geodäsie (DE-588)4020202-1 gnd Methode (DE-588)4038971-6 gnd Gravimetrie (DE-588)4138998-0 gnd |
| topic_facet | Geodäsie Methode Gravimetrie Hochschulschrift |
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| work_keys_str_mv | AT forootanehsan statisticalsignaldecompositiontechniquesforanalyzingtimevariablesatellitegravimetrydata |