Fundamentals of stochastic signals, systems and estimation theory: with worked examples
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2008
Belgrade Acad. Mind |
| Ausgabe: | 2. ed. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017348563&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. 407 - 409 |
| Umfang: | 414 S. graph. Darst. |
| ISBN: | 9783540709909 9788674663233 |
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Datensatz im Suchindex
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| adam_text | BRANKO KOVACEVIC, PH. D. V ZELJKO DUROVIC, PH. D. FUNDAMENTALS OF
STOCHASTIC SIGNALS, SYSTEMS AND ESTIMATION THEORY WITH WORKED EXAMPLES
SECOND EDITION 4Y SPRINGER ACADEMIC MIND CONTENT 1 REVIEW OF THE THEORY
OF PROBABILITY AND RANDOM VARIABLES 1 1.1 SOME PROBABILITY THEORY 1 1.2
RANDOM VARIABLES AND DISTRIBUTIONS 4 1.3 EXPECTATIONS 7 1.4 FUNCTIONS OF
ONE RANDOM VARIABLE 14 1.5 MORE THAN ONE RANDOM VARIABLE: RANDOM VECTORS
AND MULTIVARIATE DISTRIBUTIONS 17 1.6 CONDITIONAL DISTRIBUTIONS, DENSITY
FUNCTIONS AND EXPECTATIONS 23 1.7 MULTIVARIABLE GAUSSIAN DISTRIBUTION 27
1.8 FUNCTIONS OF TWO RANDOM VARIABLES 29 1.9 WORKED EXAMPLES 35 2
FUNDAMENTALS OF STOCHASTIC PROCESSES 55 2.1 BASIC CONCEPTS 55 2.2
GAUSS-MARKOV STOCHASTIC PROCESS 59 2.3 PROPERTIES OF STOCHASTIC
PROCESSES 64 2.4 SPECTRAL REPRESENTATION OF STOCHASTIC PROCESSES 69 2.5
THE CONCEPT OF WHITE NOISE 72 2.6 WORKED EXAMPLES 75 3 LINEAR
DISCRETE-TIME STOCHASTIC SYSTEMS 81 3. 1 TRANSFER FUNCTION MODELS 81
3.1.1 LINEAR FILTERING 81 - 3.1.2 STABILITY 85 3.1.3 SPECTRAL
FACTORIZATION 86 3.1.4 POLYNOMIAL REPRESENTATION: ARMAX MODELS 88 3.2
STATE-SPACE MODELS 91 3.2.1 ANALYSIS 91 3.2.2 EQUIVALENCE OF LINEAR
MODELS: TRANSFORMATION OF STATE-SPACE MODEL TO TRANSFER FUNCTION MODEL
96 3.2.3 EQUIVALENCE OF LINEAR MODELS: TRANSFORMATION OF ARMAX TO STATE
SPACE MODEL 100 3.2.4 OBSERVABILITY AND CONTROLLABILITY 107 4 LINEAR
CONTINUOUS-TIME STOCHASTIC SYSTEMS 115 4.1 INPUT-OUTPUT MODELS 115 4.1.1
STABILITY 116 4.1.2 LINEAR FILTERING 116 4.1.3 SPECTRAL FACTORIZATION
121 4.1.4 THE CONCEPT OF STOCHASTIC PROCESS^WITH UNCORRELATED INCREMENTS
(WIENER PROCESS) 122 4.2 STATE-SPACE MODELS 127 4.3 DISCRETIZATION OF
CONTINUOUS STOCHASTIC SYSTEMS 144 4.4 STATE-SPACE AND TRANSFER FUNCTION
MODELS EQUIVALENCE 149 5 FUNDAMENTALS OF ESTIMATION 155 5.1 BAYES COST
METHOD R 156 5.1.1 MEAN SQUARE ERROR CRITERION - MINIMUM VARIANCE
ESTIMATOR 156 5.1.2 MEAN SQUARE ESTIMATION GIVEN A RANDOM PROCESS 161
5.2 UNIFORM COST FUNCTION: MAXIMUM APOSTERIORI ESTIMATOR 164 5.3 MAXIMUM
LIKELIHOOD ESTIMATION 167 5.4 ABSOLUTE-VALUE COST FUNCTION 169 5.5
LINEAR MEAN-SQUARE ESTIMATION (LINEAR MINIMUM VARIANCE ESTIMATION) 170
5.6 LEAST-SQUARES METHOD 177 5.6.1 SEQUENTIAL (RECURSIVE) LEAST-SQUARES
METHOD 181 5.7 PROPERTIES OF ESTIMATORS 183 5.7.1 UNBIASED ESTIMATORS
183 5.7.2 EFFICIENT ESTIMATORS 188 5.7.3 ASYMPTOTIC PROPERTIES 197 6
OPTIMUM NONRECURSIVE LINEAR ESTIMATION: WIENER FILTERING 205 6. 1
OPTIMUM NONRECURSIVE ESTIMATOR FROM DISCRETE-TIME NOISY MEASUREMENT DATA
205 6.1.1 OPTIMUM NONRECURSIVE ESTIMATOR FOR SCALAR RANDOM VARIABLE 205
6.1.2 OPTIMUM NONRECURSIVE ESTIMATOR FOR MULTIVARIATE RANDOM VARIABLES
213 6.1.3 OPTIMUM NONRECURSIVE ESTIMATOR FOR TIME-VARYING DISCRETE-TIME
SIGNALS 215 6.1.4 WIENER ESTIMATOR DESIGN FOR NONSTATIONARY TIME-VARYING
DISCRETE-TIME MULTIVARIATE SIGNALS 231 6.2 OPTIMUM NONRECURSIVE
ESTIMATOR FROM CONTINUOUS-TIME NOISY MEASUREMENTS 240 6.2.1 OPTIMUM
NONRECURSIVE ESTIMATOR FOR SCALAR RANDOM VARIABLE 240 6.2.2 OPTIMUM
NONRECURSIVE ESTIMATOR FOR MULTIVARIATE RANDOM VARIABLE 243 6.2.3
OPTIMUM NONRECURSIVE ESTIMATOR FOR TIME-VARYING STATIONARY
CONTINUOUS-TIME SIGNALS 244 7 OPTIMUM RECURSIVE LINEAR ESTIMATION:
KALMAN FILTERING 253 7.1 CONTINUOUS ESTIMATION WITH
DISCRETE OBSERVATIONS 253 7.1.1 BASIC CONCEPTS IN ESTIMATION 254 7.1.2
LINEAR MINIMUM VARIANCE ESTIMATOR BY BLOCK PROCESSING 256 7.1.3 LINEAR
SEQUENTIAL CONTINUOUS ESTIMATION FROM DISCRETE OBSERVATIONS
(CONTINUOUS-DISCRETE KALMAN FILTERING) 260 7.1.4 GEOMETRIC CONCEPT:
ORTHOGONALITY PRINCIPLE 267 7.1.5 OPTIMAL PREDICTION 269 7.2 DISCRETE
ESTIMATION WITH DISCRETE OBSERVATIONS (DISCRETE KALMAN FILTER) 275 7.2.1
OPTIMAL DISCRETE-TIME PREDICTION 280 7.3. CONTINUOUS ESTIMATION WITH
CONTINUOUS OBSERVATIONS 290 7.3.1 ORTHOGONALITY PRINCIPLE (DERIVATION
FROM WIENER-HOPF EQUATION) 294 7.4 SEQUENTIAL WEIGHTING IN KALMAN FILTER
*-- 298 7.5 INNOVATIONS PROPERTY OF THE KALMAN FILTER 300 7.6
STOCHASTIC CONTROLLABILITY, OBSERVABILITY AND STABILITY 304 7.7
STATISTICAL STEADY STATE (THE LINK BETWEEN WIENER AND KALMAN FILTER) 307
8 EXTENSIONS OF THE OPTIMUM RECURSIVE (KALMAN) FILTER 313 8.1 CORRELATED
NOISE AND SHAPING FILTERS F 313 8.1.1 COLOURED PROCESS NOISE 313 8.1.2
CORRELATED MEASUREMENT AND PROCESS NOISES 318 8.1.3 CORRELATED
MEASUREMENT NOISE *-* 324 8.2. NONLINEAR MINIMUM VARIANCE ESTIMATION
(THE EXTENDED KALMAN FILTER) 331 8.2.1 CONTINUOUS-DISCRETE LINEARIZED
AND EXTENDED KALMAN FILTERS 331 8.2.2 DISCRETE LINEARIZED AND EXTENDED
KALMAN FILTERS 346 8.2.3 CONTINUOUS LINEARIZED AND EXTENDED KALMAN
FILTERS 358 8.3. ADAPTIVE FILTERING --*361 8.3.1. PARAMETER-ADAPTIVE
FILTERING * 361 8.3.2 NOISE-ADAPTIVE FILTERING 368 8.3.3. MULTIPLE MODEL
ESTIMATION 378 APPENDIX A: PROPERTIES OF LAPLACE AND Z TRANSFORMS* 385
APPENDIX B: A REVIEW OF MATRIX ANALYSIS 392 APPENDIX C: TABLE OF COMMON
PROBABILITY DENSITY FUNCTIONS 404 REFERENCES 407 INDEX 411
|
| any_adam_object | 1 |
| author | Kovačević, Branko Đurović, Željko |
| author_facet | Kovačević, Branko Đurović, Željko |
| author_role | aut aut |
| author_sort | Kovačević, Branko |
| author_variant | b k bk ž đ žđ |
| building | Verbundindex |
| bvnumber | BV035428127 |
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| callnumber-sort | QA 3274 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 820 ZN 6025 ZN 6040 |
| ctrlnum | (OCoLC)233934963 (DE-599)DNB990378837 |
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| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.38223 |
| dewey-search | 621.38223 |
| dewey-sort | 3621.38223 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV035428127 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T13:32:16Z |
| institution | BVB |
| isbn | 9783540709909 9788674663233 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017348563 |
| oclc_num | 233934963 |
| open_access_boolean | |
| owner | DE-703 DE-92 DE-83 |
| owner_facet | DE-703 DE-92 DE-83 |
| physical | 414 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer Acad. Mind |
| record_format | marc |
| spellingShingle | Kovačević, Branko Đurović, Željko Fundamentals of stochastic signals, systems and estimation theory with worked examples MATLAB Schätztheorie Stochastisches Signal Stochastisches System Estimation theory Stochastic processes Stochastic systems Stochastisches System (DE-588)4057635-8 gnd Stochastisches Signal (DE-588)4140374-5 gnd Schätztheorie (DE-588)4121608-8 gnd |
| subject_GND | (DE-588)4057635-8 (DE-588)4140374-5 (DE-588)4121608-8 |
| title | Fundamentals of stochastic signals, systems and estimation theory with worked examples |
| title_auth | Fundamentals of stochastic signals, systems and estimation theory with worked examples |
| title_exact_search | Fundamentals of stochastic signals, systems and estimation theory with worked examples |
| title_full | Fundamentals of stochastic signals, systems and estimation theory with worked examples Branko Kovačević ; Željko Đurović |
| title_fullStr | Fundamentals of stochastic signals, systems and estimation theory with worked examples Branko Kovačević ; Željko Đurović |
| title_full_unstemmed | Fundamentals of stochastic signals, systems and estimation theory with worked examples Branko Kovačević ; Željko Đurović |
| title_short | Fundamentals of stochastic signals, systems and estimation theory |
| title_sort | fundamentals of stochastic signals systems and estimation theory with worked examples |
| title_sub | with worked examples |
| topic | MATLAB Schätztheorie Stochastisches Signal Stochastisches System Estimation theory Stochastic processes Stochastic systems Stochastisches System (DE-588)4057635-8 gnd Stochastisches Signal (DE-588)4140374-5 gnd Schätztheorie (DE-588)4121608-8 gnd |
| topic_facet | MATLAB Schätztheorie Stochastisches Signal Stochastisches System Estimation theory Stochastic processes Stochastic systems |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017348563&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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