A first course in statistics for signal analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Birkhäuser, Springer
2011
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 253 - 255 |
| Beschreibung: | XVI, 261 S. Ill., graph. Darst. |
| ISBN: | 9780817681005 |
Internformat
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| 245 | 1 | 0 | |a A first course in statistics for signal analysis |c Wojbor A. Woyczyński |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Birkhäuser, Springer |c 2011 | |
| 300 | |a XVI, 261 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
FOREWORD TO THE SECOND EDITION XI
INTRODUCTION XIII
NOTATION XV
1 DESCRIPTION OF SIGNALS 1
1.1 TYPES OF RANDOM SIGNALS 1
1.2 CHARACTERISTICS OF SIGNALS 6
1.3 TIME-DOMAIN AND FREQUENCY-DOMAIN DESCRIPTIONS
OF PERIODIC SIGNALS 9
1.4 BUILDING A BETTER MOUSETRAP: COMPLEX EXPONENTIALS 14
1.5 PROBLEMS AND EXERCISES 18
2 SPECTRAL REPRESENTATION OF DETERMINISTIC SIGNALS: FOURIER
SERIES AND TRANSFORMS 21
2.1 COMPLEX FOURIER SERIES FOR PERIODIC SIGNALS 21
2.2 APPROXIMATION OF PERIODIC SIGNALS BY FINITE FOURIER SUMS 30
2.3 APERIODIC SIGNALS AND FOURIER TRANSFORMS 35
2.4 BASIC PROPERTIES OF THE FOURIER TRANSFORM 37
2.5 FOURIER TRANSFORMS OF SOME NONINTEGRABLE
SIGNALS; DIRAC S DELTA IMPULSE 41
2.6 DISCRETE AND FAST FOURIER TRANSFORMS 44
2.7 PROBLEMS AND EXERCISES 46
3 RANDOM QUANTITIES AND RANDOM VECTORS 51
3.1 DISCRETE, CONTINUOUS, AND SINGULAR RANDOM QUANTITIES 52
3.2 EXPECTATIONS AND MOMENTS OF RANDOM QUANTITIES 71
3.3 RANDOM VECTORS, CONDITIONAL PROBABILITIES, STATISTICAL
INDEPENDENCE, AND CORRELATIONS 75
3.4 THE LEAST-SQUARES FIT, LINEAR REGRESSION 86
3.5 THE LAW OF LARGE NUMBERS AND THE STABILITY OF FLUCTUATIONS LAW ....
89
3.6 ESTIMATORS OF PARAMETERS AND THEIR ACCURACY; CONFIDENCE INTERVALS ..
92
3.7 PROBLEMS, EXERCISES, AND TABLES 100
STATIONARY SIGNALS 105
4.1 STATIONARITY AND AUTOCOVARIANCE FUNCTIONS 105
4.2 ESTIMATING THE MEAN AND THE AUTOCOVARIANCE
FUNCTION; ERGODIC SIGNALS 119
4.3 PROBLEMS AND EXERCISES 123
POWER SPECTRA OF STATIONARY SIGNALS 127
5.1 MEAN POWER OF A STATIONARY SIGNAL 127
5.2 POWER SPECTRUM AND AUTOCOVARIANCE FUNCTION 129
5.3 POWER SPECTRA OF INTERPOLATED DIGITAL SIGNALS 137
5.4 PROBLEMS AND EXERCISES 140
TRANSMISSION OF STATIONARY SIGNALS THROUGH LINEAR SYSTEMS 143
6.1 TIME-DOMAIN ANALYSIS 143
6.2 FREQUENCY-DOMAIN ANALYSIS AND SYSTEM S BANDWIDTH 151
6.3 DIGITAL SIGNAL, DISCRETE-TIME SAMPLING 155
6.4 PROBLEMS AND EXERCISES 160
OPTIMIZATION OF SIGNAL-TO-NOISE RATIO IN LINEAR SYSTEMS 163
7.1 PARAMETRIC OPTIMIZATION FOR A FIXED FILTER STRUCTURE 163
7.2 FILTER STRUCTURE MATCHED TO INPUT SIGNAL 167
7.3 THE WIENER FILTER 170
7.4 PROBLEMS AND EXERCISES 172
GAUSSIAN SIGNALS, COVARIANCE MATRICES, AND SAMPLE PATH PROPERTIES... 175
8.1 LINEAR TRANSFORMATIONS OF RANDOM VECTORS 175
8.2 GAUSSIAN RANDOM VECTORS 178
8.3 GAUSSIAN STATIONARY SIGNALS 181
8.4 SAMPLE PATH PROPERTIES OF GENERAL AND GAUSSIAN STATIONARY SIGNALS ..
184
8.5 PROBLEMS AND EXERCISES 190
SPECTRAL REPRESENTATION OF DISCRETE-TIME STATIONARY
SIGNALS AND THEIR COMPUTER SIMULATIONS 193
9.1 AUTOCOVARIANCE AS A POSITIVE-DEFINITE SEQUENCE 195
9.2 CUMULATIVE POWER SPECTRUM OF DISCRETE-TIME STATIONARY SIGNAL 196
9.3 STOCHASTIC INTEGRATION WITH RESPECT TO SIGNALS
WITH UNCORRELATED INCREMENTS 199
9.4 SPECTRAL REPRESENTATION OF STATIONARY SIGNALS 204
9.5 COMPUTER ALGORITHMS: COMPLEX-VALUED CASE 208
9.6 COMPUTER ALGORITHMS: REAL-VALUED CASE 214
9.7 PROBLEMS AND EXERCISES 220
SOLUTIONS TO SELECTED PROBLEMS AND EXERCISES 223
BIBLIOGRAPHICAL COMMENTS 253
INDEX 257
|
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| author | Woyczyński, Wojbor A. 1943- |
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| author_facet | Woyczyński, Wojbor A. 1943- |
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| building | Verbundindex |
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| callnumber-first | T - Technology |
| callnumber-label | TK5102 |
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| ctrlnum | (OCoLC)722969159 (DE-599)BVBBV041788992 |
| dewey-full | 621.382/2/05195 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.382/2/05195 |
| dewey-search | 621.382/2/05195 |
| dewey-sort | 3621.382 12 45195 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV041788992 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:05:25Z |
| institution | BVB |
| isbn | 9780817681005 |
| language | English |
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| physical | XVI, 261 S. Ill., graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
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| publisher | Birkhäuser, Springer |
| record_format | marc |
| spelling | Woyczyński, Wojbor A. 1943- Verfasser (DE-588)120518147 aut A first course in statistics for signal analysis Wojbor A. Woyczyński 2. ed. New York [u.a.] Birkhäuser, Springer 2011 XVI, 261 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 253 - 255 Traitement du signal - Méthodes statistiques Signal processing Statistical methods Statistik (DE-588)4056995-0 gnd rswk-swf Signalanalyse (DE-588)4181260-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Statistik (DE-588)4056995-0 s DE-604 Signalanalyse (DE-588)4181260-8 s Erscheint auch als Online-Ausgabe 978-0-8176-8101-2 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027234663&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Woyczyński, Wojbor A. 1943- A first course in statistics for signal analysis Traitement du signal - Méthodes statistiques Signal processing Statistical methods Statistik (DE-588)4056995-0 gnd Signalanalyse (DE-588)4181260-8 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4181260-8 (DE-588)4123623-3 |
| title | A first course in statistics for signal analysis |
| title_auth | A first course in statistics for signal analysis |
| title_exact_search | A first course in statistics for signal analysis |
| title_full | A first course in statistics for signal analysis Wojbor A. Woyczyński |
| title_fullStr | A first course in statistics for signal analysis Wojbor A. Woyczyński |
| title_full_unstemmed | A first course in statistics for signal analysis Wojbor A. Woyczyński |
| title_short | A first course in statistics for signal analysis |
| title_sort | a first course in statistics for signal analysis |
| topic | Traitement du signal - Méthodes statistiques Signal processing Statistical methods Statistik (DE-588)4056995-0 gnd Signalanalyse (DE-588)4181260-8 gnd |
| topic_facet | Traitement du signal - Méthodes statistiques Signal processing Statistical methods Statistik Signalanalyse Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027234663&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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