Nonlinear signal processing a statistical approach
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| Format: | Buch |
| Sprache: | English |
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Hoboken, N.J.
Wiley-Interscience
2005
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| 100 | 1 | |a Arce, Gonzalo R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nonlinear signal processing |b a statistical approach |c Gonzalo R. Arce |
| 264 | 1 | |a Hoboken, N.J. |b Wiley-Interscience |c 2005 | |
| 300 | |a xx, 459 p. |b Ill., graph. Darst. |c 25 cm. + |e 1 CD-ROM (12 cm) | ||
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| 500 | |a Includes bibliographical references (p. 365-379) and index | ||
| 650 | 7 | |a Estatística |2 larpcal | |
| 650 | 7 | |a Processamento de sinais |2 larpcal | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Statistik | |
| 650 | 4 | |a Signal processing |x Mathematics | |
| 650 | 4 | |a Statistics | |
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Datensatz im Suchindex
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| adam_text | NONLINEAR SIGNAL PROCESSING A STATISTICAL APPROACH GONZALO R. ARCE
UNIVERSITY OF DELAWARE DEPARTMENT OF COMPUTER AND ELECTRICAL ENGINEERING
,WILEY- INTERSCIENCE A JOHN WILEY & SONS, INC, PUBLICATION CONTENTS
PREFACE VII ACKNOWLEDGMENTS XI ACRONYMS XIX 1 INTRODUCTION 1 1.1
NONGAUSSIAN RANDOM PROCESSES 7 1.1.1 GENERALIZED GAUSSIAN DISTRIBUTIONS
AND WEIGHTED MEDIANS 9 1.1.2 STABLE DISTRIBUTIONS AND WEIGHTED MYRIADS
10 1.2 STATISTICAL FOUNDATIONS 10 1.3 THE FILTERING PROBLEM 12 1.3.1
MOMENT THEORY 13 PART I STATISTICAL FOUNDATIONS 2 NONGAUSSIAN MODELS 17
2.1 GENERALIZED GAUSSIAN DISTRIBUTIONS 18 2.2 STABLE DISTRIBUTIONS 19
2.2.1 DEFINITIONS 22 XIII XIV CONTENTS 2.2.2 SYMMETRIC STABLE
DISTRIBUTIONS 23 2.2.3 GENERALIZED CENTRAL LIMIT THEOREM 28 2.2.4
SIMULATION OF STABLE SEQUENCES 29 2.3 LOWER-ORDER MOMENTS 30 2.3.1
FRACTIONAL LOWER-ORDER MOMENTS 30 2.3.2 ZERO-ORDER STATISTICS 33 2.3.3
PARAMETER ESTIMATION OF STABLE DISTRIBUTIONS 36 PROBLEMS 41 3 ORDER
STATISTICS 43 3.1 DISTRIBUTIONS OF ORDER STATISTICS 44 3.2 MOMENTS OF
ORDER STATISTICS 49 3.2.1 ORDER STATISTICS FROM UNIFORM DISTRIBUTIONS 50
3.2.2 RECURRENCE RELATIONS 52 3.3 ORDER STATISTICS CONTAINING OUTLIERS
54 3.4 JOINT STATISTICS OF ORDERED AND NONORDERED SAMPLES 56 PROBLEMS 58
4 STATISTICAL FOUNDATIONS OF FILTERING 61 4.1 PROPERTIES OF ESTIMATORS
62 4.2 MAXIMUM LIKELIHOOD ESTIMATION 64 4.3 ROBUST ESTIMATION 72
PROBLEMS 75 PART II SIGNAL PROCESSING WITH ORDER STATISTICS 5 MEDIAN AND
WEIGHTED MEDIAN SMOOTHERS 81 5.1 RUNNING MEDIAN SMOOTHERS 81 5.1.1
STATISTICAL PROPERTIES 83 5.1.2 ROOT SIGNALS (FIXED POINTS) 88 5.2
WEIGHTED MEDIAN SMOOTHERS 94 5.2.1 THE CENTER-WEIGHTED MEDIAN SMOOTHER
102 5.2.2 PERMUTATION-WEIGHTED MEDIAN SMOOTHERS 107 5.3 THRESHOLD
DECOMPOSITION REPRESENTATION 111 5.3.1 STACK SMOOTHERS 114 5.4 WEIGHTED
MEDIANS IN LEAST ABSOLUTE DEVIATION (LAD) REGRESSION 124 5.4.1
FOUNDATION AND COST FUNCTIONS 126 CONTENTS XV 5.4.2 LAD REGRESSION WITH
WEIGHTED MEDIANS 131 5.4.3 SIMULATION 134 PROBLEMS 136 WEIGHTED MEDIAN
FILTERS 139 6.1 WEIGHTED MEDIAN FILTERS WITH REAL-VALUED WEIGHTS 139
6.1.1 PERMUTATION-WEIGHTED MEDIAN FILTERS 154 6.2 SPECTRAL DESIGN OF
WEIGHTED MEDIAN FILTERS 156 6.2.1 MEDIAN SMOOTHERS AND SAMPLE SELECTION
PROBABILITIES 158 6.2.2 SSPS FOR WEIGHTED MEDIAN SMOOTHERS 159 6.2.3
SYNTHESIS OF WM SMOOTHERS 162 6.2.4 GENERAL ITERATIVE SOLUTION 165 6.2.5
SPECTRAL DESIGN OF WEIGHTED MEDIAN FILTERS ADMITTING REAL-VALUED WEIGHTS
167 6.3 THE OPTIMAL WEIGHTED MEDIAN FILTERING PROBLEM 169 6.3.1
THRESHOLD DECOMPOSITION FOR REAL-VALUED SIGNALS 170 6.3.2 THE LEAST MEAN
ABSOLUTE (LMA) ALGORITHM 176 6.4 RECURSIVE WEIGHTED MEDIAN FILTERS 185
6.4.1 THRESHOLD DECOMPOSITION REPRESENTATION OF RECURSIVE WM FILTERS 18
8 6.4.2 OPTIMAL RECURSIVE WEIGHTED MEDIAN FILTERING 190 6.5 MIRRORED
THRESHOLD DECOMPOSITION AND STACK FILTERS 202 6.5.1 STACK FILTERS 203
6.5.2 STACK FILTER REPRESENTATION OF RECURSIVE WM FILTERS 207 6.6
COMPLEX-VALUED WEIGHTED MEDIAN FILTERS 210 6.6.1 PHASE-COUPLED COMPLEX
WM FILTER 214 6.6.2 MARGINAL PHASE-COUPLED COMPLEX WM FILTER 214 6.6.3
COMPLEX THRESHOLD DECOMPOSITION 215 6.6.4 OPTIMAL MARGINAL PHASE-COUPLED
COMPLEX WM 216 6.6.5 SPECTRAL DESIGN OF COMPLEX-VALUED WEIGHTED MEDIANS
226 6.7 WEIGHTED MEDIAN FILTERS FOR MULTICHANNEL SIGNALS 231 6.7.1
MARGINAL WM FILTER 232 6.7.2 VECTOR WM FILTER 233 6.7.3 WEIGHTED
MULTICHANNEL MEDIAN FILTERING STRUCTURES 235 XVI CONTENTS 6.1 A FILTER
OPTIMIZATION 238 PROBLEMS 249 7 LINEAR COMBINATION OF ORDER STATISTICS
251 7.1 L-ESTIMATES OF LOCATION 252 7.2 L-SMOOTHERS 258 7.3 ^-FILTERS
262 7.3.1 DESIGN AND OPTIMIZATION OF/^-FILTERS 265 7.4 LH PERMUTATION
FILTERS 270 7.5 HYBRID MEDIAN/LINEAR FIR FILTERS 275 7.5.1 MEDIAN AND
FIR AFFINITY TRIMMING 275 7.6 LINEAR COMBINATION OF WEIGHTED MEDIANS 286
7.6.1 LCWM FILTERS 289 7.6.2 DESIGN OF LCWM FILTERS 291 7.6.3 SYMMETRIC
LCWM FILTERS 293 PROBLEMS 297 PART III SIGNAL PROCESSING WITH THE STABLE
MODEL MYRIAD SMOOTHERS 8.1 8.2 8.3 8.4 8.5 8.6 FLOM SMOOTHERS RUNNING
MYRIAD SMOOTHERS OPTIMALITY OF THE SAMPLE MYRIAD WEIGHTED MYRIAD
SMOOTHERS FAST WEIGHTED MYRIAD COMPUTATION WEIGHTED MYRIAD SMOOTHER
DESIGN 8.6.1 CENTER-WEIGHTED MYRIADS FOR IMAGE DENOISING 8.6.2
MYRIADIZATION PROBLEMS WEIGHTED MYRIAD FILTERS 9.1 9.2 9.3 WEIGHTED
MYRIAD FILTERS WITH REAL-VALUED WEIGHTS FAST REAL-VALUED WEIGHTED MYRIAD
COMPUTATION WEIGHTED MYRIAD FILTER DESIGN 9.3.1 MYRIADIZATION 9.3.2
OPTIMIZATION PROBLEMS 303 304 306 322 325 332 336 336 338 346 347 347
350 351 351 353 362 CONTENTS XVII REFERENCES 365 APPENDIX A SOFTWARE
GUIDE 381 INDEX 455
|
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| id | DE-604.BV019871505 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T18:17:57Z |
| institution | BVB |
| isbn | 0471676241 |
| language | English |
| lccn | 2004042240 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013195793 |
| oclc_num | 55149254 |
| open_access_boolean | |
| owner | DE-573 DE-M347 |
| owner_facet | DE-573 DE-M347 |
| physical | xx, 459 p. Ill., graph. Darst. 25 cm. + 1 CD-ROM (12 cm) |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Wiley-Interscience |
| record_format | marc |
| spellingShingle | Arce, Gonzalo R. Nonlinear signal processing a statistical approach Estatística larpcal Processamento de sinais larpcal Mathematik Statistik Signal processing Mathematics Statistics Signalverarbeitung (DE-588)4054947-1 gnd |
| subject_GND | (DE-588)4054947-1 |
| title | Nonlinear signal processing a statistical approach |
| title_auth | Nonlinear signal processing a statistical approach |
| title_exact_search | Nonlinear signal processing a statistical approach |
| title_full | Nonlinear signal processing a statistical approach Gonzalo R. Arce |
| title_fullStr | Nonlinear signal processing a statistical approach Gonzalo R. Arce |
| title_full_unstemmed | Nonlinear signal processing a statistical approach Gonzalo R. Arce |
| title_short | Nonlinear signal processing |
| title_sort | nonlinear signal processing a statistical approach |
| title_sub | a statistical approach |
| topic | Estatística larpcal Processamento de sinais larpcal Mathematik Statistik Signal processing Mathematics Statistics Signalverarbeitung (DE-588)4054947-1 gnd |
| topic_facet | Estatística Processamento de sinais Mathematik Statistik Signal processing Mathematics Statistics Signalverarbeitung |
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