Blind Channel Equalization and Identification

ISBN-10: 0824704797
ISBN-13: 9780824704797
Edition: 2001
Authors: Zhi Ding, Ye Li
List price: $275.00
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Book details

List price: $275.00
Copyright year: 2001
Publisher: Taylor & Francis Group
Publication date: 1/9/2001
Binding: Hardcover
Pages: 418
Size: 6.25" wide x 9.00" long x 1.00" tall
Weight: 1.584
Language: English

Series Introduction
Preface
Introduction
Blind Equalization: A Popular Research Topic
Motivation For This Book
Blind Equalization and Identification of Communication Channels
Network Collision Resolution of Transmitted Packets
Blind Deconvolution: A Related Application
A Brief History
1975 to Present: Blind Single Channel Equalization
1981 to Present: Blind Statistical Channel Identification
1991 to Present: Multichannel Identification and Equalization
Organization and Contents
Basic Concepts and Approaches
Channel Equalization in QAM Data Communication Systems
SISO and SIMO Discrete Channel Model
Channel Equalization
T-Spaced Equalizers
Fractionally-Spaced Equalizers
Nonlinear Equalization
The Need for Blind Channel Equalization and Identification
Basic Approaches to Blind Equalization and Identification
Blind SISO Equalization
Blind SISO Channel Identification
Blind SIMO Channel Identification
Blind Multichannel Equalization
Single Input Single Output Blind Equalization Algorithms
Introduction
SISO Channel Equalization
Channel Equalization in QAM Communication Systems
Blind Adaptive Channel Equalizer
Basic Facts on Blind Adaptive Equalization
Adaptive Blind SISO Equalizers
FIR Linear Equalizers
Cost Functions and Associated Adaptive Algorithms
The Sato Algorithm and Its Generalizations
The Sato Algorithm
BGR Algorithms (an Extension of the Sato Algorithm)
Stop-and-Go Algorithms
Bussgang Algorithms
Constant Modulus Algorithms and Related Schemes
Constant Modulus (Godard) Algorithm
Shalvi and Weinstein Algorithms
Stochastic Gradient Descent Adaptation
A Blind Equalization Example
Convergence of Blind SISO Adaptive Algorithms
Convergence Requirement of Open Eye Equalizers
Some Known Convergence Results
Local Convergence of Blind Equalizers
Convergence Requirement of Bussgang Algorithms
Initialization Issues
QAM Algorithms Based on Convex Cost Functions
Background
Linearly Constrained Equalizer with Convex Cost
Convex Cost Function and Parameter Constraint
Global Convergence
Remarks and Comments
Implementation and Simulation
A Fast Linear Programming Algorithm for Convex Cost
Weakness of Batch and Adaptive Implementations
Linear Programming Formulations
Implementation and Simulation
Summary
Local Convergence Analysis of SISO Blind Equalizers
Convergence Equilibria of Blind Equalizers
The Constant Modulus Algorithm and Godard Algorithm
Undesirable Equilibria of Godard Algorithms
Stability Condition for the Undesirable Equilibria
Consequences of Ill-Convergence
Examples of Stable Undesirable Equilibria
Effect of Channel Noise and Mismodeling
Shalvi-Weinstein and Standard Cumulant Algorithms
Geometric Relationship between SWA and CMA
Initial Kurtosis Effect on SWA Finite Equalizer convergence
SWA Minimum Location and An Initialization Strategy
Extension of Results to QAM Communication Systems
Convergence Analysis of Equalizers Driven by SCA
The Sato Algorithm
Decision-Direct and Stop-and-Go Algorithms
Stop-and-Go Algorithms
Decision-Directed Equalizer
Computer Simulation Example
Non-Equivalence of Two Parameter Spaces
Nullspace Analysis for Causal Parameterizations
Nullspace Analysis for Doubly Infinite Parameterizations
Comments
Example
Length-Dependent and Cost-Dependent Local Minima
Length-Dependent Local Minima
Cost-Dependent Local Minima of Some Blind Algorithms
Static and Dynamic Convergence Behavior of FIR Equalizers
Basic Relationships
Properties of Prediction Error Function
Static Convergence Analysis
Dynamic Convergence Analysis
Computer Simulations
Summary and Further Reading
Linear Multichannel Identification Methods Based On Second Order Statistics
Introduction
Multiple Discrete Channel Model for Identification
Linear Baseband Model
Channel Diversity from Integer Oversampling
Fractional Oversampling
Second Order Statistics of Multichannel Outputs
The TXK Time Domain SIMO Algorithm
Two SIMO Methods for Blind Identification
A Subspace Based Algorithm
A Subchannel Matching Algorithm
Exploiting Partial System Information
Motivations
Partial Knowledge of the Composite Channel
Simulation Results
Least Square Estimation Approaches to SIMO Identification
Multichannel Identification from Second Order Statistics
Linear Prediction Algorithm for Multichannel Identification
Outer-Product Decomposition Algorithm
Multi-Step Linear Prediction
Channel Estimation by Linear Smoothing
Channel Estimation by Constrained Output Energy Minimization
Discussion
Simulation Results
Chapter Summary
Frequency Domain Approaches to Single User Channel Identification
Overview
Second Order Cyclostationarity
Channel Identification via Frequency Response Sampling
Channel Phase Information in Output SCD
Rational Transfer Function Identification
Discussions
SCD Estimation and Simulation
Estimating SCD from Data
Simulation Example
Discrete ARMA System Identification
Cyclostationary Channel Information
The Need for a Parametric Channel Model
A Parametric Identification Method for ARMA Channels
Basic Conditions
Identifying Poles and Zeros
Remarks
Non-Parametric Identification of ARMA Channels
Magnitude Identification
Phase Identification
Phase Distortion Analysis
Phase Unwrapping and a Combined Method
Simulation Results of Frequency Domain Methods
Phase Response Recovery Based on Partial Knowledge
Exploiting Known Phase Information
Simulation Results
Summary
Adaptive Multichannel Equalization
Multichannel Equalization
SIMO Equalizers
MIMO Equalizers
SIMO Constant Modulus Algorithm
Basic Properties
Uniqueness of Hyper-cone
Global Convergence of CMA-FSE
Initialization of CMA-FSE
Discussions
Simulation Results
SIMO Super-Exponential Algorithm
An Unwilling Approximation in TSE Implementation
Exact Implementation in FSE
Convergence Issues
Higher Order Statistical Realization of SEA
Simulation Results
General Convergence Properties of SIMO Equalizers (FSE)
Two Classes of Minima
Disappearance of LDM in FSE
Cost-Dependent Minima
MIMO CMA Equalizer
Linear Equalizability
CMA Signal Capturing
Global Convergence
MIMO Signal Recovery Example
Multiple Signal Equalization and Recovery
CMA Cost Modification
Global Convergence of Modified CMA MIMO Equalizers
Local Convergence
Simulation Example
Summary and Further Reading
Selected Topics in Multichannel Equalization
Deterministic Approaches to Blind Equalization
Direct Multichannel Blind Equalization
Direct Symbol Estimation
Deterministic Channel Equalization
Column Anchored Equalization
Input Statistical Information
Column Shifting
Fixed Delay Column Anchoring
Variable Delay Column Anchoring
Channel Noise Considerations
MMSE Equalization
Basic Assumptions and Matrix Properties
MMSE Blind Equalizers
Estimation of Cross-Correlation Vector
MMSE Blind Equalization for SIMO Systems
Simulation Examples
Summary and Further Reading
Scanning the Literature
Blind Channel Equalization and Symbol Estimation
Blind and Semi-blind Channel Identification
Applications in CDMA, OFDM, and Other Systems
Index

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