Time Frequency Analysis
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Table of contents
- Contentsix
- Prefacevii
- List of Contributorsxxiii
- Part I: Introduction to the Concepts of TFSAP1
- Chapter 1. Time-Frequency Concepts3
- 1.1 The Need for a Time-Frequency Distribution (TFD)4
- 1.2 Signal Formulations and Characteristics in the (t, f ) Domain12
- 1.3 Instantaneous Frequency and Time-Delay19
- 1.4 Summary and Discussion26
- Chapter 2. Heuristic Formulation of Time-Frequency Distributions29
- 2.1 Method 1: The Wigner-Ville Distribution30
- 2.2 Method 2: Time-Varying Power Spectral Density36
- 2.3 Method 3: Windowed FT (STFT, Spectrogram, Gabor Transform)38
- 2.4 Method 4: Filtered Function of Time42
- 2.5 Method 5: Instantaneous Power Spectra43
- 2.6 Method 6: Energy Density45
- 2.7 Relationship between TFDs47
- 2.8 Summary and Discussion52
- Chapter 3. Theory of Quadratic TFDs59
- 3.1 The WVD60
- 3.2 Formulations of Quadratic TFDs66
- 3.3 Properties of Quadratic TFDs72
- 3.4 Summary, Discussion and Conclusions76
- Part II: Fundamental Principles of TFSAP83
- Chapter 4. Time-Frequency Signal and System Analysis85
- 4.1 Analytic Signal & Instantaneous Frequency86
- 4.2 Cross-terms & Localization in QuadraticTime-frequency Distributions94
- 4.3 The Covariance Theory of Time-Frequency Analysis102
- 4.4 Uncertainty in Time-Frequency Analysis114
- 4.5 Generalized TFRs via Unitary Transforms122
- 4.6 Signal Measures in the Time-Frequency Plane128
- 4.7 Time-Frequency Transfer Function Calculus of Linear Time-Varying Systems135
- 4.8 Wigner Distribution and Fractional Fourier Transform145
- 4.9 Gabor Spectrogram153
- Chapter 5. Design of Time-Frequency Distributions159
- 5.1 Ambiguity Functions160
- 5.2 Reduced Interference Time-Frequency Distributions168
- 5.3 Adaptive Time-Frequency Analysis178
- 5.4 Polynomial Wigner-Ville Distributions185
- 5.5 Design of Polynomial TFDs, with Applications193
- 5.6 Time-Frequency Representations Covariant to Group Delay Shifts203
- 5.7 Design of High-Resolution Quadratic TFDs with Separable Kernels213
- 5.8 Fractional Fourier Transform and Generalized-Marginal TFDs223
- Part III: Time-Frequency Methods229
- Chapter 6. Implementation and Realization of TFDs231
- 6.1 Discrete Time-Frequency Distributions232
- 6.2 Quadratic and Higher Order Time-Frequency Analysis Based on the STFT242
- 6.3 Gabor's Signal Expansion for a Non-Orthogonal Sampling Geometry252
- 6.4 Spectrogram Decompositions of Time-Frequency Distributions260
- 6.5 Computation of Discrete Quadratic TFDs268
- Chapter 7. Measures, Performance Assessment and Enhancement279
- 7.1 Time-Frequency Analysis Based on the Affine Group280
- 7.2 Time-Frequency Reassignment290
- 7.3 Measuring Time-Frequency Distributions Concentration297
- 7.4 Resolution Performance Assessment for Quadratic TFDs305
- 7.5 Joint-Domain Representations via Discrete-Domain Frames315
- Chapter 8. Multi-Sensor and Time-Space Processing323
- 8.1 Blind Source Separation Using Time-Frequency Distributions324
- 8.2 Spatial Time-Frequency Distributions and Their Applications334
- 8.3 Quadratic Detection in Arrays using TFDs344
- 8.4 Implementation of STFDs-Based Source Separation Algorithms349
- 8.5 Underdetermined Blind Source Separation for FM-like Signals357
- Part IV: Statistical Techniques369
- Chapter 9. Random Processes and Noise Analysis371
- 9.1 Analysis of Noise in Time-Frequency Distributions372
- 9.2 Statistical Processing of Dispersive Systems and Signals382
- 9.3 Robust Time-Frequency Distributions392
- 9.4 Time-Varying Power Spectra of Nonstationary Random Processes400
- 9.5 Time-Frequency Characterization of Random Time-Varying Channels410
- Chapter 10. Instantaneous Frequency Estimation and Localization421
- 10.1 Iterative Instantaneous Frequency Estimation for Random Signals422
- 10.2 Adaptive Instantaneous Frequency Estimation Using TFDs429
- 10.3 IF Estimation for Multicomponent Signals437
- 10.4 Analysis of Polynomial FM Signals in Additive Noise447
- 10.5 IF Estimation of FM Signals in Multiplicative Noise457
- Chapter 11. Time-Frequency Synthesis and Filtering465
- 11.1 Linear Time-Frequency Filters466
- 11.2 Time-Varying Filter via Gabor Expansion476
- 11.3 Time-Frequency Filtering of Speech Signals in Hands-Free Telephone Systems481
- 11.4 Signal Enhancement by Time-Frequency Peak Filtering489
- Chapter 12. Detection , Classification and Estimation499
- 12.1 Optimal Time-Frequency Detectors500
- 12.2 Time-Frequency Signal Analysis and Classification Using Matching Pursuits510
- 12.3 System Identification using Time-Frequency Filtering519
- 12.4 Time-Frequency Methods for Signal Estimation and Detection528
- Part V: Engineering Applications539
- Chapter 13. Time-Frequency Methods in Communications541
- 13.1 Time-Frequency Interference Mitigation in Spread Spectrum Communication Systems542
- 13.2 Communication Over Linear Dispersive Channels: A Time-Frequency Perspective549
- 13.3 Eigenfunctions of Underspread Linear Communication Systems558
- 13.4 Fractional Autocorrelation for Detection in Communications568
- Chapter 14. Time-Frequency Methods in Radar, Sonar &: Acoustics577
- 14.1 Special Time-Frequency Analysis of Helicopter Doppler Radar Data578
- 14.2 Time-Frequency Motion Compensation Algorithms for ISAR Imaging590
- 14.3 Flight Parameter Estimation using Doppler and Lloyd's Mirror Effects597
- 14.4 Wigner-Ville Analysis of High Frequency Radar Measurements605
- 14.5 Time-Frequency Methods in Sonar615
- Chapter 15. Time-Frequency Diagnosis and Monitoring627
- 15.1 Time-Frequency Analysis of Electric Power Disturbances628
- 15.2 Combustion Diagnosis by TF Analysis of Car Engine Signals635
- 15.3 Power Class Time-Frequency Representations and their Applications643
- 15.4 Image Distortion Analysis using the Wigner-Ville Distribution651
- 15.5 Time-Frequency Detection of EEG Abnormalities663
- 15.6 Time-Frequency Based Machine Condition Monitoring and Fault Diagnsois671
- Chapter 16. Other Applications683
- Time-Frequency Bibliography685
- Time-Frequency Index719
Time Frequency Signal Analysis and Processing covers fundamental concepts, principles and techniques, treatment of specialised and advanced topics, methods and applications, including results of recent research.
This book deals with the modern methodologies, key techniques and concepts that form the core of new technologies used in IT, multimedia, telecommunications as well as most fields of engineering, science and technology. It focuses on advanced techniques and methods that allow a refined extraction and processing of information, allowing efficient and effective decision making that would not be possible with classical techniques. The Author, fellow of IEEE for Pioneering contributions to time-frequency analysis and signal processing education, is an expert in the field, having written over 300 papers on the subject over a period pf 25 years.
This is a REAL book, not a mere collection of specialised papers, making it essential reading for researchers and practitioners in the field of signal processing.
*The most comprehensive text and reference book published on the subject, all the most up to date research on this subject in one place
*Key computer procedures and code are provided to assist the reader with practical implementations and applications
*This book brings together the main knowledge of time-frequency signal analysis and processing, (TFSAP), from theory and applications, in a user-friendly reference suitable for both experts and beginners
This book deals with the modern methodologies, key techniques and concepts that form the core of new technologies used in IT, multimedia, telecommunications as well as most fields of engineering, science and technology. It focuses on advanced techniques and methods that allow a refined extraction and processing of information, allowing efficient and effective decision making that would not be possible with classical techniques. The Author, fellow of IEEE for Pioneering contributions to time-frequency analysis and signal processing education, is an expert in the field, having written over 300 papers on the subject over a period pf 25 years.
This is a REAL book, not a mere collection of specialised papers, making it essential reading for researchers and practitioners in the field of signal processing.
*The most comprehensive text and reference book published on the subject, all the most up to date research on this subject in one place
*Key computer procedures and code are provided to assist the reader with practical implementations and applications
*This book brings together the main knowledge of time-frequency signal analysis and processing, (TFSAP), from theory and applications, in a user-friendly reference suitable for both experts and beginners