Time-frequency signal analysis with applications:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Artech House
2013
|
| Series: | Artech House radar series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 659 S. Ill., graph. Darst. |
| ISBN: | 9781608076512 1608076512 |
Staff View
MARC
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| 245 | 1 | 0 | |a Time-frequency signal analysis with applications |c Ljubiša Stanković, Miloš Daković, Thayannathan Thayaparan |
| 264 | 1 | |a Boston [u.a.] |b Artech House |c 2013 | |
| 300 | |a XII, 659 S. |b Ill., graph. Darst. | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-026197236 | ||
Record in the Search Index
| _version_ | 1804150660367646720 |
|---|---|
| adam_text | Time-Frequency Signal Analysis
with Applications
Ljubisa Stankovic,
Milos Dakovic,
Thayananthan Thayaparan
ARTECH
HOUSE
BOSTON|LONDON
artechhouse com
Contents
Pfeface xi
Chapter 1 Introduction to Fourier Analysis 1
1 1 Continuous-Time Signals 2
111 Periodic Signals and Fourier Series 5
112 Linear Systems 8
113 Fourier Transform 11
114 Relationship Between the Fourier Series and the
Fourier Transform 21
1 2 Discrete-Time Signals and Systems 22
121 Fourier Transform of Discrete-Time Signals 26
122 Sampling Theorem in the Time Domain 29
123 Discrete Fourier Transform 33
124 Analysis of a Sinusoid by Using the DFT 39
125 Laplace and z-Transform 46
1 3 Discrete-Time Random Signals 49
131 First-Order Statistics 49
132 Second-Order Statistics 51
133 Noise 53
134 Linear Systems and Random Signals 56
135 Discrete Fourier Transform of Noisy Signals 57
1 4 Two-Dimensional Signals 60
1 5 Problems 63
1 6 Solutions 68
v
VI
Contents
Chapter 2 Linear Time-Frequency Representations 81
2 1 Short-Time Fourier Transform 82
,211 Windows 85
212 Continuous STFT Inversion 91
213 Spectrogram 94
214 STFT of Multicomponent Signals 95
2 2 Duration Measures and Uncertainty Principle 96
2 3 Discrete Form and Realizations of the STFT 99
231 Recursive STFT Implementation 100
232 Filter Bank STFT Implementation 102
233 Time-Frequency Plane Lattice 103
2 4 Gabor Transform 121
2 5 Stationary-Phase Method 123
2 6 Instantaneous Frequency 125
2 7 Local Polynomial Fourier Transform 130
2 8 Fractional Fourier Transform with Relation to the LPFT 135
2 9 Relation Between the STFT and the Continuous Wavelet
Transform 136
291 Constant Q-Factor Transform 139
292 Affine Transforms 139
293 Filter Bank Formulation 140
294 Generalized Time-Frequency Varying Lattice 142
295 S-Transform 143
2 10 Chirplet Transform 144
2 11 Generalization 146
2 12 Parameter Optimization 148
2 12 1 Adaptive Analysis 151
2 13 Problems 153
2 14 Solutions 158
Chapter 3 Quadratic Time-Frequency Distributions 177
3 1 Rihaczek Distribution 179
3 2 Wigner Distribution 181
321 Introducing the Wigner Distribution Based on the IF
Representation 185
322 Signal Reconstruction and Inversion 187
323 Properties of the Wigner Distribution 189
324 Linear Coordinate Transforms 194
Contents vii
33 Quantum Mechanics Wigner Distribution Review 201
‘ 331 Spreading Factor 204
/ 332 Uncertainty Principle and the Wigner Distribution 204
* *, 333 Pseudo Quantum Signal Representation 206
)334 Instantaneous Frequency, Bandwidth, and Moments 207
i 34 Implementation of the Wigner distribution 215
-r 341 Pseudo Wigner Distribution 215
342 Smoothed Wigner Distribution 215
343 Discrete Pseudo Wigner Distribution 218
344 Wigner Distribution-Based Inversion and Synthesis 227
-345 Auto-Terms and Cross-Terms 229
1346 Inner Interferences in the Wigner Distribution 231
3 5
3 6
Ambiguity Function 232
Cohen Class of Distributions 238
361 Properties of the Cohen Class of Distributions 242
362 Reduced Interference Distributions 243
363 Optimal Kernel Design 247
364 Auto-Term Form in the Cohen Class of Distributions 251
3 7
3 8
Kernel Decomposition-Based Calculation 253
371 Spectrograms in the Cohen Class of Distributions 253
372 The Cohen Class of Distributions Decomposition 255
S-Method 256
381 Discrete Realization of the S-Method 260
Smoothed Spectrogram Versus S-Method
as a Principle of Composition 268
Decomposition of Multicomponent Signals 270
Empirical Mode Decomposition 274
3 9 Reassignment in Time-Frequency Analysis 277
3 10 Affine Class of Time-Frequency Representations 285
3 11 Problems 287
3 12 Solutions 292
3 8 2
3 8 3
3 8 4
Chapter 4 Higher-Order Time-Frequency Representations
:,41 Third-Order Time-Frequency Representations
411 Second-Order Moment and Spectrum
412 Third-Order Moment and Bispectrum
413 The Wigner Bispectrum
4 2 Wigner Higher-Order Spectra
317
318
318
320
324
328
Contents
viii
421 Instantaneous Frequency in the Wigner Higher-Order
Spectra 329
422 Wigner Multitime Distribution 333
4 3 The L-Wigner Distribution 337
4 4 The Polynomial Wigner-Ville Distribution 341
4 5 Phase Derivative Estimation 342
451 Quadratic Distributions 343
452 Higher-Order Distributions 344
453 Real-Time Causal Distributions 347
454 Instantaneous Rate Estimation 348
4 6 Complex-Lag Distributions 348
4 7 S-Method-Based Realization 353
471 The L-Wigner Distribution Realization 354
472 Real-Time Causal Distribution Realization 356
473 Polynomial Wigner-Ville Distribution Realization 360
4 8 Local Polynomial Wigner Distribution 362
4 9 Higher-Order Ambiguity Functions 364
491 Monocomponent Polynomial Phase Signals 364
492 Multicomponent Polynomial Phase Signals 367
4 10 Problems 371
4 11 Solutions 375
Chapter 5 Analysis of Noisy Signals 391
5 1 Short-Time Fourier Transform of Noisy Signals 392
5 2 Wigner Distribution of Noisy Signals 394
521 Pseudo Wigner Distribution Bias 396
522 Pseudo Wigner Distribution Variance 397
523 On the Optimal Window Width 398
5 3 Wigner Distribution-Based Instantaneous Frequency
Estimation 399
531 Estimation Error 401
532 Instantaneous Frequency Estimation Bias 407
533 Instantaneous Frequency Estimation Variance 408
5 4 Adaptive Algorithm 410
541 Parameters in the Adaptive Algorithm 413
5 5 Influence of High Noise on the Instantaneous Frequency 422
551 Estimation Error 423
552 Mean Square Error 427
Contents
y-
5 6 Noise in Quadratic Time-Frequency Distributions
561 Complex Stationary and Nonstationary White Noise
562 Colored Stationary Noise
563 Analytic Noise
564 Real-Valued Noise
565 Noisy Signals
5 7 Robust Time-Frequency Analysis
571 Robust Short-Time Fourier Transform
572 Robust Wigner Distribution
573 L-Estimation
574 Resulting Noise Distribution in the Local
Auto-Correlation Function
5 8 Sparse Signal Analysis in Time-Frequency
5 9 Compressive Sensing and Robust Time-Frequency Analysis
591 Compressive Sensing-Based Processing of the
L-Estimated Time-Frequency Representations
592 CS-Based Separation of Signals in Time-Frequency
Domain
593 Compressive Sensing and Signal Inversion in
Overlapping STFT
594 Compressive Sensing Formulation with
Frequency-Varying Windows (Wavelets)
5 10 Wigner Spectrum and Time-Varying Filtering
5 11 Problems
5 12 Solutions
Chapter 6 Applications of Time-Frequency Analysis
6 1 Radar Signal Processing
611 Analytic CW Radar Signal Model
612 Signal and Resolution in the Doppler Domain
613 Nonuniform Target Motion
614 ISAR Basic Definitions and Model
615 SAR Setup
616 Micro-Doppler Effects in ISAR/SAR Imaging
617 Micro-Doppler Description in SAR
618 Time-Frequency Analysis and L-Statistics
6 2 Interference Rejection in Spread Spectrum Communication
Systems
429
431
431
433
433
434
442
443
450
451
454
455
463
465
469
472
477
478
482
487
511
511
512
517
518
521
529
531
535
536
553
X
Contents
621 Direct Sequence Spread Spectrum Model 554
622 Filtering and Reconstruction 555
«6 3 Car Engine Signal Analysis 562
631 Car Engine Signal Models and Analysis 563
6 4 Estimation of Time-Varying Velocities in Video 572
6 5 Time-Frequency-Based Detection of Deterministic Signals 579
651 Signal Detection by Using the Fourier Transform 581
652 Parametric Extension of the Fourier Transform 583
653 Detection in the Time-Frequency Domain 585
654 Real Radar Data Analysis 591
6 6 Multidimensional Space-Spatial Frequency Analysis 594
661 Multidimensional Short-Time Fourier Transform 597
662 Multidimensional Wigner Distribution 598
663 Cohen Class of Distributions 598
664 Multicomponent «-Dimensional Signals 599
6 7 Array Processing Based on Time-Frequency Distributions 603
6 8 High-Resolution Time-Frequency Techniques 608
6 9 Watermarking in the Space/Spatial-Frequency Domain 614
6 10 Hardware Design for Time-Frequency Analysis 617
6 11 Seismic Signal Analysis 622
6 12 Biomedical Signal Analysis 623
6 13 Time-Frequency Analysis of Speech Signals 623
Bibliography 625
About the Authors 653
|
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| isbn | 9781608076512 1608076512 |
| language | English |
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| physical | XII, 659 S. Ill., graph. Darst. |
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| spelling | Stanković, Ljubiša 1960- Verfasser (DE-588)103792732X aut Time-frequency signal analysis with applications Ljubiša Stanković, Miloš Daković, Thayannathan Thayaparan Boston [u.a.] Artech House 2013 XII, 659 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Artech House radar series Signal processing Zeit-Frequenz-Analyse (DE-588)4626990-3 gnd rswk-swf Zeit-Frequenz-Analyse (DE-588)4626990-3 s DE-604 Daković, Miloš 1970- Verfasser (DE-588)1037931882 aut Thayaparan, Thayananthan Verfasser (DE-588)1037932250 aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026197236&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stanković, Ljubiša 1960- Daković, Miloš 1970- Thayaparan, Thayananthan Time-frequency signal analysis with applications Signal processing Zeit-Frequenz-Analyse (DE-588)4626990-3 gnd |
| subject_GND | (DE-588)4626990-3 |
| title | Time-frequency signal analysis with applications |
| title_auth | Time-frequency signal analysis with applications |
| title_exact_search | Time-frequency signal analysis with applications |
| title_full | Time-frequency signal analysis with applications Ljubiša Stanković, Miloš Daković, Thayannathan Thayaparan |
| title_fullStr | Time-frequency signal analysis with applications Ljubiša Stanković, Miloš Daković, Thayannathan Thayaparan |
| title_full_unstemmed | Time-frequency signal analysis with applications Ljubiša Stanković, Miloš Daković, Thayannathan Thayaparan |
| title_short | Time-frequency signal analysis with applications |
| title_sort | time frequency signal analysis with applications |
| topic | Signal processing Zeit-Frequenz-Analyse (DE-588)4626990-3 gnd |
| topic_facet | Signal processing Zeit-Frequenz-Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026197236&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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