Boashash B. Time Frequency Signal Analysis and Processing. A Comprehensive Reference

Издательство Elsevier, 2003, -771 pp.

Time-Frequency Signal Analysis and Processing (TFSAP) is a collection of theory and algorithms used for analysis and processing of non-stationary signals, as found in a wide range of applications including telecommunications, radar, and biomedical engineering. This book brings together the main knowledge of TFSAP, from theory to applications, in a user-friendly reference suitable for both expert and non-expert readers
The contents of the book include:
1. a comprehensive tutorial introduction to TFSAP, accessible to anyone who has taken a first course in signals and systems;
2. more specialized theory and algorithms, concisely presented by some of the leading authorities on the respective topics; and
3. studies of key applications, written by leading researchers, showing how to use TFSAP methods to solve practical problems

Introduction to the Concepts of TFSAP.
Time-Frequency Concepts.
The Need for a Time-Frequency Distribution (TFD).
Signal Formulations and Characteristics in the (t, f ) Domain.
nstantaneous Frequency and Time-Delay.
Heuristic Formulation of Time-Frequency Distributions.
Method 1: The Wigner-Ville Distribution.
Method 2: Time-Varying Power Spectral Density.
Method 3: Windowed FT (STFT, Spectrogram, Gabor Transform).
Method 4: Filtered Function of Time.
Method 5: Instantaneous Power Spectra.
Method 6: Energy Density.
Relationship between TFDs.
Theory of Quadratic TFDs
The WVD.
Formulations of Quadratic TFDs.
Properties of Quadratic TFDs.
Fundamental Principles of TFSAP.
Time-Frequency Signal and System Analysis.
Analytic Signal: Instantaneous Frequency.
Cross-terms ~z Localization in QuadraticTime-frequency Distributions.
The Covariance Theory of Time-Frequency Analysis.
Uncertainty in Time-Frequency Analysis.
Generalized TFRs via Unitary Transforms.
Signal Measures in the Time-Frequency Plane.
Time-Frequency Transfer Function Calculus of Linear Time-Varying.
Systems.
Wigner Distribution and Fractional Fourier Transform.
Gabor Spectrogram.
Design of Time-Frequency Distributions.
Ambiguity Functions.
Reduced Interference Time-Frequency Distributions.
Adaptive Time-Frequency Analysis.
Polynomial Wigner-Ville Distributions.
Design of Polynomial TFDs, with Applications.
Time-Frequency Representations Covariant to Group Delay Shifts.
Design of High-Resolution Quadratic TFDs with Separable Keels.
Fractional Fourier Transform and Generalized-Marginal TFDs.
Time-Frequency Methods.
mplementation and Realizatio n of TFDs.
Overview.
Discrete Time-Frequency Distributions.
Quadratic and Higher Order Time-Frequency Analysis.
Gabor's Signal Expansion for a Non-Orthogonal Sampling Geometry.
Spectrogram Decompositions of Time-Frequency Distributions.
Computation of Discrete Quadratic TFDs.
Measures, Performance Assessment and Enhancement.
Time-Frequency Analysis Based on the Affine Group.
Time-Frequency Reassignment.
Measuring Time-Frequency Distributions Concentration.
Resolution Performance Assessment for Quadratic TFDs.
Joint-Domain Representations via Discrete-Domain Frames.
Multi-Sensor and Time-Space Processing.
Blind Source Separation Using Time-Frequency Distributions.
Spatial Time-Frequency Distributions and Their Applications.
Quadratic Detection in Arrays using TFDs.
Implementation of STFDs-Based Source Separation Algorithms.
Underdetermined Blind Source Separation for FM-like Signals.
Statistical Techniques.
Random Processes and Noise Analysis.
Analysis of Noise in Time-Frequency Distributions.
Statistical Processing of Dispersive Systems and Signals.
Robust Time-Frequency Distributions.
Time-Varying Power Spectra of Nonstationary Random Processes.
Time-Frequency Characterization of Random Time-Varying Channels.
Instantaneous Frequency Estimation and Localization.
Iterative Instantaneous Frequency Estimation for Random Signals.
Adaptive Instantaneous Frequency Estimation Using TFDs.
LF Estimation for Multicomponent Signals.
Analysis of Polynomial FM Signals in Additive Noise.
LF Estimation of FM Signals in Multiplicative Noise.
Time-Frequency Synthesis and Filtering.
Linear Time-Frequency Filters.
Time-Varying Filter via Gabor Expansion.
Time-Frequency Filtering of Speech Signals in Hands-Free Telephone Systems.
Signal Enhancement by Time-Frequency Peak Filtering.
Detection, Classification and Estimation.
Optimal Time-Frequency Detectors.
Time-Frequency Signal Analysis and Classification Using Matching Pursuits.
System Identification using Time-Frequency Filtering.
Time-Frequency Methods for Signal Estimation and Detection.
Engineering Applications.
Time-Frequency Methods in Communications.
Time-Frequency Interference Mitigation in Spread Spectrum Communication Systems.
Communication Over Linear Dispersive Channels: A Time-Frequency Perspective.
Eigenfunctions of Underspread Linear Communication Systems.
Fractional Autocorrelation for Detection in Communications.
Time-Frequency Methods in Radar, Sonar &: Acoustics.
Special Time-Frequency Analysis of Helicopter Doppler Radar Data.
Time-Frequency Motion Compensation Algorithms for ISAR Imaging.
Flight Parameter Estimation using Doppler and Lloyd's Mirror Effects.
Wigner-Ville Analysis of High Frequency Radar Measurements of a Surrogate Theater Ballistic Missile.
Time-Frequency Methods in Sonar.
Time-Frequency Diagnosis and Monitoring.
Time-Frequency Analysis of Electric Power Disturbances.
Combustion Diagnosis by TF Analysis of Car Engine Signals.
Power Class Time-Frequency Representations and their Applications.
Image Distortion Analysis using the Wigner-Ville Distribution.
Time-Frequency Detection of EEG Abnormalities.
Time-Frequency Based Machine Condition Monitoring and Fault Diagnosis.
Other Applications.