Engineering applications of correlation and spectral analysis:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Wiley
1993
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | A Wiley-interscience publication
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Beschreibung für Leser Inhaltsverzeichnis |
| Beschreibung: | XIV, 458 S. graph. Darst. |
| ISBN: | 0471570559 |
Internformat
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| 100 | 1 | |a Bendat, Julius S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Engineering applications of correlation and spectral analysis |c Julius S. Bendat ; Allan G. Piersol |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York u.a. |b Wiley |c 1993 | |
| 300 | |a XIV, 458 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 4 | |a Correlation (Statistics) | |
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Datensatz im Suchindex
| _version_ | 1804122907941535744 |
|---|---|
| adam_text | CONTENTS
Preface
1
Introduction
and Background
1.1
Characteristics of Random Data
/ 2
1.1.1
Stationary Data
/ 2
1.1.2
ErgodicData
/ 3
1.1.3
Statistical Sampling Considerations
/ 4
1.1.4
Other Practical Considerations
/ 5
1.2
Fourier Series and Transformations
/ 6
1.2.1
Fourier Series
/ 6
1.2.2
Fourier Transforms
/ 9
1.2.3
Finite Fourier Transforms
/ 10
1.2.4
Delta Functions
/ 12
1.2.5
Special Fourier Transforms
/ 14
1.3
Physical System Response Properties
/ 15
1.3.1
Unit-Impulse Response Functions
/ 15
.3.2
Frequency Response Functions
/ 16
.3.3
Single-Degree-of-Freedom Systems
/ 18
.3.4
Multiple-Degree-of-Freedom Systems
/ 21
.3.5
Distributed Systems
/ 22
xiii
1
2
Probability Functions and Amplitude Measures
2.1
Probability Functions
/ 25
2.1.1
Probability Distribution Functions
/ 26
2.1.2
Probability Density Functions
/ 27
2.2
Moments and Average Amplitude Measures
/ 29
2.2.1
Expected Values and Moments
/ 30
2.2.2
Central Tendency and Dispersion
/31
2.2.3
Data-Averaging Operations
/ 32
25
VÍ
CONTENTS
2.3
Special
Probability Density Functions
/ 33
2.3.1
Normal (Gaussian) Noise
/ 33
2.3.2
Sine Waves
/ 35
2.3.3
Sine Wave in Gaussian Noise
/ 37
2.4
Statistical Sampling Errors
/ 37
2.4.1
Bias versus Random Errors
/ 38
2.4.2
Errors in Amplitude Estimates
/ 39
2.4.3
Errors in Probability Density Estimates
/ 40
3
Correlation and Spectral Density Functions
3.1
Correlation Functions
/ 43
3.1.1
Classical Correlation Concepts
/ 43
3.1.2
Extensions to Time History Data
/ 47
3.2
Spectral Density Functions
/ 49
3.2.1
Spectra via Correlation Functions
/ 50
3.2.2
Spectra via Fourier Transforms
/ 54
3.2.3
Spectra via Analog Filtering
/ 56
3.3
General Interpretations
/ 57
3.3.1
Autocorrelation Functions
/ 57
3.3.2
Autospectral
Density Functions
/ 61
3.3.3
Cross-Correlation Functions
/ 64
3.3.4
Cross-Spectral Density Functions
/ 66
3.4
Estimation Procedures and Errors
/ 68
3.4.1
Correlation Estimation Procedures
/ 68
3.4.2
Spectral Estimation Procedures
/71
3.4.3
Statistical Sampling Errors
/ 76
4
Single-Input /Single-Output Relationships
4.1
Ideal System Relationships
/ 78
4.1.1
Stationary Inputs
/ 79
4.1.2
Transient Inputs
/ 81
4.1.3
Effects of Nonzero Mean Values
/ 82
4.4.4
Ordinary Coherence Functions
/ 83
4.2
Effects of Measurement Noise
/ 86
4.2.1
Uncorrelated Input and Output Noise
/ 87
4.2.2
Output Noise Only
/ 89
4.2.3
Input Noise Only
/ 89
4.2.4
Correlated Input and Output Noise
/ 92
CONTENTS
VM
4.3 Feedback Systems / 95
4.3.1
Relationships Without Extraneous Noise
/ 95
4.3.2
Effects of Extraneous Noise
/ 96
4.3.3
Feedback Control Systems
/ 98
4.4
Examples of Engineering Systems
/100
5
System Identification and Response
105
5.1
Calculation of Frequency Response Functions
/ 105
5.1.1
Optimality of Calculations
/ 106
5.1.2
Relationships Using External Excitation
/ 109
5.1.3
Noise-to-Signal Ratios /111
5.1.4
System Parameter Estimation
/ 112
5.2
Errors in Estimating Frequency Response Functions
/113
5.2.1
Random Errors
/114
5.2.2
Bias Errors
/ 115
5.2.3
Illustrations of Errors
/ 117
5.3
System Response Predictions
/ 124
5.3.1
Single-Degree-of-Freedom System
/ 125
5.3.2
Distributed Systems
/ 126
6
Propagation-Path Identification
131
6.1
Nondispersive
Propagation, Input/Output Data
/ 131
6.1.1
Cross-Correlation Measurements
/ 132
6.1.2
Cross-Spectrum Measurements
/ 136
6.1.3
Unit-Impulse Response Measurements
/140
6.1.4
Practical Considerations
/ 142
6.2
Nondispersive
Propagation, Output Data Only
/ 145
6.2.1
Autocorrelation Measurements
/145
6.2.2
Autospectrum
Measurements
/ 149
6.2.3
Practical Considerations
/152
6.3
Dispersive Propagation
/ 153
6.3.1
Single-Path Problems
/ 153
6.3.2
Multiple-Path Problems
/ 156
6.3.3
Mixed-Path Problems
/ 158
6.4
Estimation of Path Characteristics
/ 160
6.4.1
Path Frequency Response Estimates
/ 160
6.4.2
Applications Using Transients
/ 162
VIH
CONTENTS
7
Single-Input/Multiple-Output Problems
164
7.1
Correlation and Spectrum Relationships
/ 164
7.1.1
General Input/Output Relationships
/ 165
7.1.2
Relationships for a Single-Input/Two-Output
System
/ 167
7.2
Relative Time Delays and Propagation Direction
/ 169
7.2.1
Estimation of Relative Time Delays
/169
7.2.2
Determination of Dominant Direction
/ 172
7.2.3
Further Relationships
/ 174
7.3
Source Location in Fluids
/175
7.3.1
Procedures and Practical Considerations
/ 176
7.3.2
Finite Source Dimensions
/ 177
7.3.3
Contaminating Output Noise
/178
7.3.4
Reverberation and Scattering Effects
/ 183
7.3.5
Data Acquisition and Sampling Errors
/ 185
7.3.6
Periodic Sources
/ 187
7.4
Source Location in Solids
/ 191
7.4.1
Propagation with Different Mechanisms
/ 191
7.4.2
Direction of Energy Propagation
/ 194
7.5
System Identification From Output Measurements
/ 196
7.5.1
Identification of Resonance Frequencies
/ 197
7.5.2
Determination of Normal-Mode Shapes
/ 201
7.5.3
Estimation of Structural Damping
/ 202
8
Multiple-Input/Multiple-Output Relationships
204
8.1
Multiple-lnput/Single-Output Systems
/ 204
8.1.1
Basic Input/Output Relationships
/ 206
8.1.2
Optimum Frequency Response Functions
/ 207
8.1.3
Two-Input/Single-Output Systems
/ 208
8.2
Multiple Coherence Functions
/211
8.2.1
Definition and Basic Relationships
/211
8.2.2
Special Cases
/ 212
8.3
Conditioned Spectral Analysis
/ 214
8.3.1
Definitions and Basic Relationships
/ 214
8.3.2
Conditioned Spectral Density Functions
/ 216
8.4
Partial Coherence Functions
/ 219
8.4.1
Two-Input/Single-Output Systems
/ 219
8.4.2
Multiple-lnput/Single-Output Systems
/ 225
CONTENTS
ІХ
8.5
Multiple-Input/Multiple-Output
Systems / 228
8.5.1
Definitions and Basic Relationships
/ 229
8.5.2
Interpretations
/ 231
9
Energy-Source Identification
234
9.1
Problem Formulation
/ 234
9.1.1
Uncorrelated Sources
/ 235
9.1.2
Noise-Free Source Measurements
/ 236
9.1.3
Practical Considerations
/ 237
9.2
Single-Channel Measurement Problems
/ 238
9.2.1
Input Measurement Problems
/ 238
9.2.2
Time-Delay Bias Errors
/ 239
9.2.3
Reverberation Effects
/ 240
9.2.4
Input/Output Feedback and Nonlinearities
/ 243
9.3
Input Measurement Interference
/ 244
9.3.1
Calculations Using Coherent Output Spectra
/ 244
9.3.2
Calculations Using Partial Coherence
Functions
/ 247
9.3.3
Suppression of Measurement Interference
/ 248
9.4
Physically Correlated Sources
/ 250
9.4.1
Coherent Output Power Analysis
/ 251
9.4.2
Analysis Using Partial Coherent Output
Powers
/ 253
9.4.3
Procedures for Ordering Inputs
/ 257
9.4.4
Summary of Errors
/ 262
10
Procedures to Solve Multiple-Input/Multiple-Output
Problems
264
10.1
Formulation of Models
/ 264
10.1.1
Two-Input Systems
/ 264
10.1.2
Multiple-Input Systems
/ 268
10.1.3
Fourier Transforms and Spectral Functions
/271
10.2
Optimum System Relationships
/ 274
10.2.1
Optimum Systems for Conditioned Inputs
/ 274
10.2.2
Optimum Systems for Original Inputs
/ 276
10.2.3
Relations between Optimum Systems
/ 277
10.3
Computational Algorithms
/ 279
10.3.1
Conditioned Records from Original
Records
/ 279
X
CONTENTS
10.3.2
Conditioned Spectral Density Functions
/ 282
10.3.3
Partial Coherence Functions and Noise
Spectra
/ 286
10.3.4
Multiple Coherence Functions
/ 288
10.3.5
Alternative Notation and Formulas
/ 289
11
Statistical Errors in Estimates
293
11.1
Spectral Density Function Estimates
/ 294
11.1.1
Bias Errors
/ 295
11.1.2
Random Errors
/ 297
11.2
Single-Input/Single-Output Problems
/ 299
11.2.1
General Considerations
/ 300
11.2.2
Summary of Random-Error Formulas
/ 303
11.2.3
Ordinary Coherence Functions Estimates
/ 304
11.2.4
Coherent Output Spectrum Estimates
/ 305
11.2.5
Overall Level Estimates
/ 306
11.3
Frequency Response Function Estimates
/ 307
11.3.1
Bias Errors
/ 307
11.3.2
Gain-Factor Estimates
/ 307
11.3.3
Phase-Factor Estimates
/ 309
11.3.4
Gain-Factor Estimates from Autospectra
Only
/ 311
11.4
Multiple-Input/Single-Output Problems
/ 313
11.4.1
Multiple Coherence Function Estimates
/ 313
11.4.2
Partial Coherence Function Estimates
/314
11.4.3
Gain-Factor and Phase-Factor Estimates
/ 316
11.4.4
Special Formulas for Uncorrelated Inputs
/ 316
11.5
Correlation Function Estimates
/ 320
11.5.1
Random Error in Magnitude of Peak
Value
/ 321
11.5.2
Random Error in Location of Peak Value
/ 323
12
Nonstationary Data Analysis Techniques
325
12.1
Practical Considerations
/ 325
12.1.1
Segmented Stationary Data
/ 326
12.1.2
Continuously Nonstationary Data
/ 326
12.1.3
General Analysis Approach
/ 327
12.2
Mean and Mean Square Values
/ 328
12.2.1
Running-Time-Average Estimates
/ 329
12.2.2
Statistical Estimation Errors
/331
CONTENTS
ХІ
12.2.3 Optimum
Averaging Time
/ 337
12.2.4 Illustration / 339
12.2.5
Curve-Fitted Estimates
/ 341
12.3
Autospectral
Density Functions
/ 344
12.3.1
Instantaneous
Autospectrum
/ 344
12.3.2
Time-Varying Spectrum
/ 349
12.3.3
Statistical Estimation Errors
/ 352
12.3.4
Optimum Analysis Parameters
/ 353
12.3.5
Illustration
/ 356
12.3.6
Spectral Analysis Using FFT Algorithms
/ 359
12.3.7
Spectral Analysis with Predetermined
Bandwidths
/ 361
13
Nonlinear System Analysis Techniques
363
13.1
Practical Considerations
/ 364
13.1.1
Preliminary Analysis of Measured Data
/ 364
13.1.2
Nonlinear Models and Procedures
/ 365
13.2
Types of Nonlinear Systems
/ 366
13.2.1
Zero-Memory and Finite-Memory Nonlinear
Systems
/ 367
13.2.2
Bilinear and Trilinear Systems
/ 369
13.2.3
Square-Law and Cubic Nonlinear Systems
/ 370
13.3
Parallel Linear and Nonlinear Systems
/ 372
13.3.1
System Identification for Non-Gaussian
Input Data
/ 373
13.3.2
Goodness-of-Fit via Coherence Functions
/ 376
13.3.3
System Identification for Gaussian
Input Data
/ 378
13.3.4
Procedure for Linear and Nonlinear System
Identification
/ 380
13.4
Determination of Physical Parameters in Nonlinear
Differential Equations of Motion
/381
13.4.1
Reverse Dynamic Nonlinear Systems
/ 382
13.4.2
SDOF Nonlinear Systems
/ 386
13.4.3
MDOF Nonlinear Systems
/ 389
13.5
Computer Simulation Results
/ 395
13.5.1
Nonlinear System Input/Output Data
/ 395
13.5.2
SDOF Nonlinear Cases
/ 398
13.5.3
MDOF Nonlinear Cases
/ 415
13.5.4
Conclusions
/ 430
ХМ
CONTENTS
References
433
List of Figures
438
List of Tables
449
Index
451
Glossary of Symbols Back endpapers
|
| any_adam_object | 1 |
| author | Bendat, Julius S. Piersol, Allan G. |
| author_facet | Bendat, Julius S. Piersol, Allan G. |
| author_role | aut aut |
| author_sort | Bendat, Julius S. |
| author_variant | j s b js jsb a g p ag agp |
| building | Verbundindex |
| bvnumber | BV008576436 |
| callnumber-first | T - Technology |
| callnumber-label | TA340 |
| callnumber-raw | TA340 |
| callnumber-search | TA340 |
| callnumber-sort | TA 3340 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)1020618621 (DE-599)BVBBV008576436 |
| dewey-full | 519.5/37/02462 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/37/02462 |
| dewey-search | 519.5/37/02462 |
| dewey-sort | 3519.5 237 42462 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV008576436 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:21:20Z |
| institution | BVB |
| isbn | 0471570559 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005636695 |
| oclc_num | 1020618621 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-703 DE-29T DE-706 DE-634 DE-83 DE-M100 DE-739 DE-20 |
| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-703 DE-29T DE-706 DE-634 DE-83 DE-M100 DE-739 DE-20 |
| physical | XIV, 458 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Wiley |
| record_format | marc |
| series2 | A Wiley-interscience publication |
| spelling | Bendat, Julius S. Verfasser aut Engineering applications of correlation and spectral analysis Julius S. Bendat ; Allan G. Piersol 2. ed. New York u.a. Wiley 1993 XIV, 458 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Wiley-interscience publication Estatistica aplicada as ciencias exatas larpcal Ingenieurwissenschaften Correlation (Statistics) Engineering Statistical methods Spectral theory (Mathematics) Spektralanalyse Stochastik (DE-588)4056125-2 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Korrelationsanalyse (DE-588)4194560-8 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Ingenieur (DE-588)4026955-3 gnd rswk-swf Korrelationsanalyse (DE-588)4194560-8 s Spektraltheorie (DE-588)4116561-5 s Ingenieurwissenschaften (DE-588)4137304-2 s DE-604 Analysis (DE-588)4001865-9 s Ingenieur (DE-588)4026955-3 s 1\p DE-604 Statistik (DE-588)4056995-0 s 2\p DE-604 Spektralanalyse Stochastik (DE-588)4056125-2 s 3\p DE-604 Piersol, Allan G. Verfasser aut http://www.loc.gov/catdir/toc/onix05/92036126.html Inhaltsverzeichnis http://www.loc.gov/catdir/description/wiley034/92036126.html Beschreibung für Leser Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005636695&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bendat, Julius S. Piersol, Allan G. Engineering applications of correlation and spectral analysis Estatistica aplicada as ciencias exatas larpcal Ingenieurwissenschaften Correlation (Statistics) Engineering Statistical methods Spectral theory (Mathematics) Spektralanalyse Stochastik (DE-588)4056125-2 gnd Analysis (DE-588)4001865-9 gnd Statistik (DE-588)4056995-0 gnd Korrelationsanalyse (DE-588)4194560-8 gnd Spektraltheorie (DE-588)4116561-5 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Ingenieur (DE-588)4026955-3 gnd |
| subject_GND | (DE-588)4056125-2 (DE-588)4001865-9 (DE-588)4056995-0 (DE-588)4194560-8 (DE-588)4116561-5 (DE-588)4137304-2 (DE-588)4026955-3 |
| title | Engineering applications of correlation and spectral analysis |
| title_auth | Engineering applications of correlation and spectral analysis |
| title_exact_search | Engineering applications of correlation and spectral analysis |
| title_full | Engineering applications of correlation and spectral analysis Julius S. Bendat ; Allan G. Piersol |
| title_fullStr | Engineering applications of correlation and spectral analysis Julius S. Bendat ; Allan G. Piersol |
| title_full_unstemmed | Engineering applications of correlation and spectral analysis Julius S. Bendat ; Allan G. Piersol |
| title_short | Engineering applications of correlation and spectral analysis |
| title_sort | engineering applications of correlation and spectral analysis |
| topic | Estatistica aplicada as ciencias exatas larpcal Ingenieurwissenschaften Correlation (Statistics) Engineering Statistical methods Spectral theory (Mathematics) Spektralanalyse Stochastik (DE-588)4056125-2 gnd Analysis (DE-588)4001865-9 gnd Statistik (DE-588)4056995-0 gnd Korrelationsanalyse (DE-588)4194560-8 gnd Spektraltheorie (DE-588)4116561-5 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Ingenieur (DE-588)4026955-3 gnd |
| topic_facet | Estatistica aplicada as ciencias exatas Ingenieurwissenschaften Correlation (Statistics) Engineering Statistical methods Spectral theory (Mathematics) Spektralanalyse Stochastik Analysis Statistik Korrelationsanalyse Spektraltheorie Ingenieur |
| url | http://www.loc.gov/catdir/toc/onix05/92036126.html http://www.loc.gov/catdir/description/wiley034/92036126.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005636695&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bendatjuliuss engineeringapplicationsofcorrelationandspectralanalysis AT piersolallang engineeringapplicationsofcorrelationandspectralanalysis |
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