Boualem Boashash

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Front CoverTime Frequency Signal Analysis and Processing: A Comprehensive ReferenceCopyright PageContentsPrefaceList of ContributorsPart I: Introduction to the Concepts of TFSAPChapter 1. Time-Frequency Concepts1.1 The Need for a Time-Frequency Distribution (TFD)1.2 Signal Formulations and Characteristics in the (t, f ) Domain1.3 Instantaneous Frequency and Time-Delay1.4 Summary and Discussion

Chapter 2. Heuristic Formulation of Time-Frequency Distributions2.1 Method 1: The Wigner-Ville Distribution2.2 Method 2: Time-Varying Power Spectral Density2.3 Method 3: Windowed FT (STFT, Spectrogram, Gabor Transform)2.4 Method 4: Filtered Function of Time2.5 Method 5: Instantaneous Power Spectra2.6 Method 6: Energy Density2.7 Relationship between TFDs2.8 Summary and Discussion

Chapter 3. Theory of Quadratic TFDs3.1 The WVD3.2 Formulations of Quadratic TFDs3.3 Properties of Quadratic TFDs3.4 Summary, Discussion and Conclusions

Part II: Fundamental Principles of TFSAPChapter 4. Time-Frequency Signal and System Analysis4.1 Analytic Signal & Instantaneous Frequency4.2 Cross-terms & Localization in QuadraticTime-frequency Distributions4.3 The Covariance Theory of Time-Frequency Analysis4.4 Uncertainty in Time-Frequency Analysis4.5 Generalized TFRs via Unitary Transforms4.6 Signal Measures in the Time-Frequency Plane4.7 Time-Frequency Transfer Function Calculus of Linear Time-Varying Systems4.8 Wigner Distribution and Fractional Fourier Transform4.9 Gabor Spectrogram

Chapter 5. Design of Time-Frequency Distributions5.1 Ambiguity Functions5.2 Reduced Interference Time-Frequency Distributions5.3 Adaptive Time-Frequency Analysis5.4 Polynomial Wigner-Ville Distributions5.5 Design of Polynomial TFDs, with Applications5.6 Time-Frequency Representations Covariant to Group Delay Shifts5.7 Design of High-Resolution Quadratic TFDs with Separable Kernels5.8 Fractional Fourier Transform and Generalized-Marginal TFDs

Part III: Time-Frequency MethodsChapter 6. Implementation and Realization of TFDs6.1 Discrete Time-Frequency Distributions6.2 Quadratic and Higher Order Time-Frequency Analysis Based on the STFT6.3 Gabor's Signal Expansion for a Non-Orthogonal Sampling Geometry6.4 Spectrogram Decompositions of Time-Frequency Distributions6.5 Computation of Discrete Quadratic TFDs

Chapter 7. Measures, Performance Assessment and Enhancement7.1 Time-Frequency Analysis Based on the Affine Group7.2 Time-Frequency Reassignment7.3 Measuring Time-Frequency Distributions Concentration7.4 Resolution Performance Assessment for Quadratic TFDs7.5 Joint-Domain Representations via Discrete-Domain Frames

Chapter 8. Multi-Sensor and Time-Space Processing8.1 Blind Source Separation Using Time-Frequency Distributions8.2 Spatial Time-Frequency Distributions and Their Applications8.3 Quadratic Detection in Arrays using TFDs8.4 Implementation of STFDs-Based Source Separation Algorithms8.5 Underdetermined Blind Source Separation for FM-like Signals

Part IV: Statistical TechniquesChapter 9. Random Processes and Noise Analysis9.1 Analysis of Noise in Time-Frequency Distributions9.2 Statistical Processing of Dispersive Systems and Signals9.3 Robust Time-Frequency Distributions9.4 Time-Varying Power Spectra of Nonstationary Random Processes9.5 Time-Frequency Characterization of Random Time-Varying Channels

Chapter 10. Instantaneous Frequency Estimation and Localization10.1 Iterative Instantaneous Frequency Estimation for Random Signals10.2 Adaptive Instantaneous Frequency Estimation Using TFDs10.3 IF Estimation for Multicomponent Signals10.4 Analysis of Polynomial FM Signals in Additive Noise10.5 IF Estimation of FM Signals in Multiplicative Noise

Chapter 11. Time-Frequency Synthesis and Filtering11.1 Linear Time-Frequency Filters11.2 Time-Varying Filter via Gabor Expansion11.3 Time-Frequency Filtering of Speech Signals in Hands-Free Telephone Systems11.4 Signal Enhancement by Time-Frequency Peak Filtering

Chapter 12. Detection , Classification and Estimation12.1 Optimal Time-Frequency Detectors12.2 Time-Frequency Signal Analysis and Classification Using Matching Pursuits12.3 System Identification using Time-Frequency Filtering12.4 Time-Frequency Methods for Signal Estimation and Detection

Part V: Engineering ApplicationsChapter 13. Time-Frequency Methods in Communications13.1 Time-Frequency Interference Mitigation in Spread Spectrum Communication Systems13.2 Communication Over Linear Dispersive Channels: A Time-Frequency Perspective13.3 Eigenfunctions of Underspread Linear Communication Systems13.4 Fractional Autocorrelation for Detection in Communications

Chapter 14. Time-Frequency Methods in Radar, Sonar &: Acoustics14.1 Special Time-Frequency Analysis of Helicopter Doppler Radar Data14.2 Time-Frequency Motion Compensation Algorithms for ISAR Imaging14.3 Flight Parameter Estimation using Doppler and Lloyd's Mirror Effects14.4 Wigner-Ville Analysis of High Frequency Radar Measurements14.5 Time-Frequency Methods in Sonar

Chapter 15. Time-Frequency Diagnosis and Monitoring15.1 Time-Frequency Analysis of Electric Power Disturbances15.2 Combustion Diagnosis by TF Analysis of Car Engine Signals15.3 Power Class Time-Frequency Representations and their Applications15.4 Image Distortion Analysis using the Wigner-Ville Distribution15.5 Time-Frequency Detection of EEG Abnormalities15.6 Time-Frequency Based Machine Condition Monitoring and Fault Diagnsois

Chapter 16. Other Applications

Time-Frequency BibliographyTime-Frequency Index

Boualem Boashash

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