Series Introduction |
Preface |
Introduction / 1: |
Blind Equalization: A Popular Research Topic / 1.1: |
Motivation For This Book / 1.2: |
Blind Equalization and Identification of Communication Channels / 1.3: |
Network Collision Resolution of Transmitted Packets / 1.4: |
Blind Deconvolution: A Related Application / 1.5: |
A Brief History / 1.6: |
1975 to Present: Blind Single Channel Equalization / 1.6.1: |
1981 to Present: Blind Statistical Channel Identification / 1.6.2: |
1991 to Present: Multichannel Identification and Equalization / 1.6.3: |
Organization and Contents / 1.7: |
Basic Concepts and Approaches / 2: |
Channel Equalization in QAM Data Communication Systems / 2.1: |
SISO and SIMO Discrete Channel Model / 2.2: |
Channel Equalization / 2.3: |
T-Spaced Equalizers / 2.3.1: |
Fractionally-Spaced Equalizers / 2.3.2: |
Nonlinear Equalization / 2.3.3: |
The Need for Blind Channel Equalization and Identification / 2.4: |
Basic Approaches to Blind Equalization and Identification / 2.5: |
Blind SISO Equalization / 2.5.1: |
Blind SISO Channel Identification / 2.5.2: |
Blind SIMO Channel Identification / 2.5.3: |
Blind Multichannel Equalization / 2.5.4: |
Single Input Single Output Blind Equalization Algorithms / 3: |
SISO Channel Equalization / 3.1: |
Channel Equalization in QAM Communication Systems / 3.2.1: |
Blind Adaptive Channel Equalizer / 3.2.2: |
Basic Facts on Blind Adaptive Equalization / 3.2.3: |
Adaptive Blind SISO Equalizers / 3.3: |
FIR Linear Equalizers / 3.3.1: |
Cost Functions and Associated Adaptive Algorithms / 3.3.2: |
The Sato Algorithm and Its Generalizations / 3.4: |
The Sato Algorithm / 3.4.1: |
BGR Algorithms (an Extension of the Sato Algorithm) / 3.4.2: |
Stop-and-Go Algorithms / 3.4.3: |
Bussgang Algorithms / 3.4.4: |
Constant Modulus Algorithms and Related Schemes / 3.5: |
Constant Modulus (Godard) Algorithm / 3.5.1: |
Shalvi and Weinstein Algorithms / 3.5.2: |
Stochastic Gradient Descent Adaptation / 3.6: |
A Blind Equalization Example / 3.7: |
Convergence of Blind SISO Adaptive Algorithms / 3.8: |
Convergence Requirement of Open Eye Equalizers / 3.8.1: |
Some Known Convergence Results / 3.8.2: |
Local Convergence of Blind Equalizers / 3.8.3: |
Convergence Requirement of Bussgang Algorithms / 3.8.4: |
Initialization Issues / 3.8.5: |
QAM Algorithms Based on Convex Cost Functions / 3.9: |
Background / 3.9.1: |
Linearly Constrained Equalizer with Convex Cost / 3.9.2: |
Convex Cost Function and Parameter Constraint / 3.9.3: |
Global Convergence / 3.9.4: |
Remarks and Comments / 3.9.5: |
Implementation and Simulation / 3.9.6: |
A Fast Linear Programming Algorithm for Convex Cost / 3.10: |
Weakness of Batch and Adaptive Implementations / 3.10.1: |
Linear Programming Formulations / 3.10.2: |
Summary / 3.10.3: |
Local Convergence Analysis of SISO Blind Equalizers / 4: |
Convergence Equilibria of Blind Equalizers / 4.1: |
The Constant Modulus Algorithm and Godard Algorithm / 4.2: |
Undesirable Equilibria of Godard Algorithms / 4.2.1: |
Stability Condition for the Undesirable Equilibria / 4.2.2: |
Consequences of Ill-Convergence / 4.2.3: |
Examples of Stable Undesirable Equilibria / 4.2.4: |
Effect of Channel Noise and Mismodeling / 4.2.5: |
Shalvi-Weinstein and Standard Cumulant Algorithms / 4.3: |
Geometric Relationship between SWA and CMA / 4.3.1: |
Initial Kurtosis Effect on SWA Finite Equalizer convergence / 4.3.2: |
SWA Minimum Location and An Initialization Strategy / 4.3.3: |
Extension of Results to QAM Communication Systems / 4.3.4: |
Convergence Analysis of Equalizers Driven by SCA / 4.3.5: |
Decision-Direct and Stop-and-Go Algorithms / 4.4: |
Decision-Directed Equalizer / 4.5.1: |
Computer Simulation Example / 4.5.3: |
Non-Equivalence of Two Parameter Spaces / 4.6: |
Nullspace Analysis for Causal Parameterizations / 4.6.1: |
Nullspace Analysis for Doubly Infinite Parameterizations / 4.6.2: |
Comments / 4.6.3: |
Example / 4.6.4: |
Length-Dependent and Cost-Dependent Local Minima / 4.7: |
Length-Dependent Local Minima / 4.7.1: |
Cost-Dependent Local Minima of Some Blind Algorithms / 4.7.2: |
Static and Dynamic Convergence Behavior of FIR Equalizers / 4.8: |
Basic Relationships / 4.8.1: |
Properties of Prediction Error Function / 4.8.2: |
Static Convergence Analysis / 4.8.3: |
Dynamic Convergence Analysis / 4.8.4: |
Computer Simulations / 4.8.5: |
Summary and Further Reading / 4.9: |
Linear Multichannel Identification Methods Based On Second Order Statistics / 5: |
Multiple Discrete Channel Model for Identification / 5.1: |
Linear Baseband Model / 5.2.1: |
Channel Diversity from Integer Oversampling / 5.2.2: |
Fractional Oversampling / 5.2.3: |
Second Order Statistics of Multichannel Outputs / 5.3: |
The TXK Time Domain SIMO Algorithm / 5.4: |
Two SIMO Methods for Blind Identification / 5.5: |
A Subspace Based Algorithm / 5.5.1: |
A Subchannel Matching Algorithm / 5.5.2: |
Exploiting Partial System Information / 5.6: |
Motivations / 5.6.1: |
Partial Knowledge of the Composite Channel / 5.6.2: |
Simulation Results / 5.6.3: |
Least Square Estimation Approaches to SIMO Identification / 5.7: |
Multichannel Identification from Second Order Statistics / 5.7.1: |
Linear Prediction Algorithm for Multichannel Identification / 5.7.2: |
Outer-Product Decomposition Algorithm / 5.7.3: |
Multi-Step Linear Prediction / 5.7.4: |
Channel Estimation by Linear Smoothing / 5.7.5: |
Channel Estimation by Constrained Output Energy Minimization / 5.7.6: |
Discussion / 5.7.7: |
Chapter Summary / 5.7.8: |
Frequency Domain Approaches to Single User Channel Identification / 6: |
Overview / 6.1: |
Second Order Cyclostationarity / 6.2: |
Channel Identification via Frequency Response Sampling / 6.3: |
Channel Phase Information in Output SCD / 6.4: |
Rational Transfer Function Identification / 6.5: |
Discussions / 6.6: |
SCD Estimation and Simulation / 6.7: |
Estimating SCD from Data / 6.7.1: |
Simulation Example / 6.7.2: |
Discrete ARMA System Identification / 6.8: |
Cyclostationary Channel Information / 6.8.1: |
The Need for a Parametric Channel Model / 6.8.2: |
A Parametric Identification Method for ARMA Channels / 6.9: |
Basic Conditions / 6.9.1: |
Identifying Poles and Zeros / 6.9.2: |
Remarks / 6.9.3: |
Non-Parametric Identification of ARMA Channels / 6.10: |
Magnitude Identification / 6.10.1: |
Phase Identification / 6.10.2: |
Phase Distortion Analysis / 6.10.3: |
Phase Unwrapping and a Combined Method / 6.10.4: |
Simulation Results of Frequency Domain Methods / 6.11: |
Phase Response Recovery Based on Partial Knowledge / 6.12: |
Exploiting Known Phase Information / 6.12.1: |
Adaptive Multichannel Equalization / 6.12.2: |
Multichannel Equalization / 7.1: |
SIMO Equalizers / 7.1.1: |
MIMO Equalizers / 7.1.2: |
SIMO Constant Modulus Algorithm / 7.2: |
Basic Properties / 7.2.1: |
Uniqueness of Hyper-cone / 7.2.2: |
Global Convergence of CMA-FSE / 7.2.3: |
Initialization of CMA-FSE / 7.2.4: |
SIMO Super-Exponential Algorithm / 7.2.5: |
An Unwilling Approximation in TSE Implementation / 7.3.1: |
Exact Implementation in FSE / 7.3.2: |
Convergence Issues / 7.3.3: |
Higher Order Statistical Realization of SEA / 7.3.4: |
General Convergence Properties of SIMO Equalizers (FSE) / 7.3.5: |
Two Classes of Minima / 7.4.1: |
Disappearance of LDM in FSE / 7.4.2: |
Cost-Dependent Minima / 7.4.3: |
MIMO CMA Equalizer / 7.5: |
Linear Equalizability / 7.5.1: |
CMA Signal Capturing / 7.5.2: |
MIMO Signal Recovery Example / 7.5.3: |
Multiple Signal Equalization and Recovery / 7.6: |
CMA Cost Modification / 7.6.1: |
Global Convergence of Modified CMA MIMO Equalizers / 7.6.2: |
Local Convergence / 7.6.3: |
Selected Topics in Multichannel Equalization / 7.6.4: |
Deterministic Approaches to Blind Equalization / 8.1: |
Direct Multichannel Blind Equalization / 8.1.1: |
Direct Symbol Estimation / 8.1.2: |
Deterministic Channel Equalization / 8.1.3: |
Column Anchored Equalization / 8.2: |
Input Statistical Information / 8.2.1: |
Column Shifting / 8.2.2: |
Fixed Delay Column Anchoring / 8.2.3: |
Variable Delay Column Anchoring / 8.2.4: |
Channel Noise Considerations / 8.2.5: |
MMSE Equalization / 8.3: |
Basic Assumptions and Matrix Properties / 8.3.1: |
MMSE Blind Equalizers / 8.3.2: |
Estimation of Cross-Correlation Vector / 8.3.3: |
MMSE Blind Equalization for SIMO Systems / 8.3.4: |
Simulation Examples / 8.3.5: |
Scanning the Literature / 8.4: |
Blind Channel Equalization and Symbol Estimation / 9.1: |
Blind and Semi-blind Channel Identification / 9.2: |
Applications in CDMA, OFDM, and Other Systems / 9.3: |
Index |
Series Introduction |
Preface |
Introduction / 1: |
Blind Equalization: A Popular Research Topic / 1.1: |
Motivation For This Book / 1.2: |
Blind Equalization and Identification of Communication Channels / 1.3: |