Joint time frequency analysis: methods and applications
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| Main Authors: | , |
|---|---|
| Format: | Kit Book |
| Language: | English |
| Published: |
Upper Saddle River, NJ
Prentice Hall
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 302 S. Ill., graph. Darst. 2 Disketten (9 cm) |
| ISBN: | 0132543842 |
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MARC
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Record in the Search Index
| _version_ | 1804125721370558464 |
|---|---|
| adam_text | Preface ix
Disk Loading Instructions x
Mathematical Conversions xii
Parti Root
Chapter 1 Why Do We Want Joint Time Frequency
Analysis? 3
Chapter 2 Review of Signal Analysis 13
2.1 Signal, Expansion, and Inner Product 14
2.2 Fourier Transform 21
2.3 Relation of Time and Frequency Representations 29
2.4 Time Duration and Frequency Bandwidth 31
2.5 Uncertainty Principle 36
2.6 Discrete Poisson Sum Formula 38
Summary 38
Part 2 Joint Time Frequency Analysis
Chapter 3 Short Time Fourier Transform and Gabor
Expansion 45
3.1 Short Time Fourier Transform (STFT) 46
3.2 Gabor Expansion Inverse Sampled STFT 52
3.3 Gabor Expansion for Discrete Periodic Samples 56
3.4 Discrete Gabor Expansion 61
3.5 Orthogonal Like Gabor Expansion 66
3.6 Fast Algorithm of Computing Dual Functions 71
Summary 73
v
vi Contents
Chapter 4 Wavelets 75
4.1 Continuous Wavelet Transform 76
4.2 Piecewise Approximation 81
4.3 Multiresolution Analysis 87
4.4 Discrete Wavelet Transformation and Digital Filter Banks 94
Summary 99
Chapter 5 Wigner Ville Distribution 101
5.1 Time Dependent Power Spectrum 102
5.2 General Properties of Wigner Ville Distribution 107
5.3 WVD of Sum of Multiple Signals 112
5.4 Wigner Ville Distribution, STFT Spectrogram, and Scalogram 118
5.5 Smoothed WVD and WVD of Analytical Signals 121
5.6 Discrete Wigner Ville Distribution 125
Summary 129
Chapter 6 Cohen s Class 131
6.1 Ambiguity Function 132
6.2 Cohen s Class 139
6.3 Some Members of Cohen s Class 142
6.3.1 Choi Williams Distribution 144
6.3.2 Cone Shape Distribution 146
6.3.3 Signal Dependent Time Frequency Representations 149
Summary 153
Chapter 7 Time Frequency Distribution Series 155
7.1 Decomposition of the Wigner Ville Distribution 157
7.2 Time Frequency Distribution Series 160
7.3 Discrete Time Frequency Distribution Series 168
7.4 Selections of h[i ] and y[i ] 170
7.5 Time Frequency Distribution Series and Cohen s Class 173
Summary 178
Chapter 8 Adaptive Representation and Adaptive
Spectrogram 181
8.1 Adaptive Expansion and Adaptive Spectrogram 185
8.2 Adaptive Gabor Representation (AGR) 189
8.3 Estimation of the Optimal hp(t) of AGR 190
8.4 Comparison of AGR and Other Time Frequency Representations 193
Summary 197
Contents Vjj
Chapter 9 Time Variant Filter 199
9.1 LSE Filter 200
9.2 Iterative Time Variant Filter 204
Summary 208
Part 3 Applications of JTFA
Chapter 10 Applications ofJTFA to Radar Image
Processing
Victor Chen, Luiz Trintinalia, and Hao Ling 213
10.1 Radar Range Doppler Imaging 214
10.1.1 Synthetic Aperture Radar Imaging of Moving Objects 216
10.1.2 Motion Compensation and Residual Phase Errors 222
10.1.3 Motion Induced Time Varying Doppler Spectrum 224
10.1.4 JTFA for Radar Range Doppler Imaging 226
10.1.5 Summary 228
10.2 Backscattering Feature Extraction 229
10.2.1 ISAR Algorithm and Effects of Non Point Scattering Mechanisms
on ISAR Imagery 230
10.2.2 Time Frequency Processing of ISAR Images 233
10.2.3 Adaptive Joint Time Frequency ISAR 234
10.2.4 Examples 236
10.2.5 Summary 239
Chapter 11 Localization of Brain Functions by Joint Time
Frequency Representations
Mingui Sun and Robert Sclabassi 241
11.1 Biological Background of the Brain 242
11.2 The Need for Signal Processing 243
11.3 Joint Time Frequency Analysis and Synthesis 245
11.4 Model Based Source Localization 247
11.5 Experimental Results 248
Conclusion 251
viii Contents
Chapter 12 Economic Data Analysis ptngChen 253
12.1 Trend Cycle Decomposition 255
12.2 Extraction of Characteristic Period via Time Variant Filter 258
12.3 Economic Diagnosis of Historical Events 260
12.4 Time Frequency Analysis for Detecting Deterministic Chaos 262
Conclusion 264
Appendices 265
A. Critical Sampling Discrete Gabor Expansions 265
B. Optimal Dual Functions 271
C. Existence of Adaptive Representations 275
Joint Time Frequency Analyzer 281
Bibliography 287
Index 297
|
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| id | DE-604.BV011222723 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:06:03Z |
| institution | BVB |
| isbn | 0132543842 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007529507 |
| oclc_num | 633184183 |
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| owner_facet | DE-29T DE-91G DE-BY-TUM DE-83 DE-11 DE-188 |
| physical | XII, 302 S. Ill., graph. Darst. 2 Disketten (9 cm) |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Prentice Hall |
| record_format | marc |
| spelling | Qian, Shie Verfasser aut Joint time frequency analysis methods and applications Shie Qian ; Dapang Chen Joint time-frequency analysis Upper Saddle River, NJ Prentice Hall 1996 XII, 302 S. Ill., graph. Darst. 2 Disketten (9 cm) Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Frequenzanalyse (DE-588)4155397-4 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 s Frequenzanalyse (DE-588)4155397-4 s DE-604 Chen, Dapang Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007529507&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Qian, Shie Chen, Dapang Joint time frequency analysis methods and applications Signalverarbeitung (DE-588)4054947-1 gnd Frequenzanalyse (DE-588)4155397-4 gnd |
| subject_GND | (DE-588)4054947-1 (DE-588)4155397-4 |
| title | Joint time frequency analysis methods and applications |
| title_alt | Joint time-frequency analysis |
| title_auth | Joint time frequency analysis methods and applications |
| title_exact_search | Joint time frequency analysis methods and applications |
| title_full | Joint time frequency analysis methods and applications Shie Qian ; Dapang Chen |
| title_fullStr | Joint time frequency analysis methods and applications Shie Qian ; Dapang Chen |
| title_full_unstemmed | Joint time frequency analysis methods and applications Shie Qian ; Dapang Chen |
| title_short | Joint time frequency analysis |
| title_sort | joint time frequency analysis methods and applications |
| title_sub | methods and applications |
| topic | Signalverarbeitung (DE-588)4054947-1 gnd Frequenzanalyse (DE-588)4155397-4 gnd |
| topic_facet | Signalverarbeitung Frequenzanalyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007529507&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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