Modulated Coding for Intersymbol Interference Channels

by Xia; Xiang-Gen

• ISBN13: 9780824704599
• ISBN10: 0824704592
• Format: Hardcover
• Copyright: 2000-10-03
• Publisher: CRC Press

Summary

A study of modulated coding (MC), a technique for intersymbol interference (ISI) mitigation. It discusses MC when the ISI is known at both transmitter and receiver, and when only the receiver knows the ISI. It showcases polynomial antiquity resistant modulated coding, and provides an examination of transmitter-assisted ISI equalization.

Author Biography

Xiang-Gen Xia is an Associate Professor in the Department of Electrical and Computer Engineering, University of Delaware, Newark

Table of Contents

Series Introduction	v
K. J. Ray Liu
Preface	vii
Introduction	1	(8)
Post Equalizations	2	(1)
Transmitter Assisted Equalizations	2	(3)
TH Precoding	3	(1)
Modulated Coding and Vector Coding	4	(1)
Information Rates and Capacity of an ISI Channel with AWGN	5	(2)
Some Notations	7	(2)
Modulated Codes: Fundamentals and Coding Gain	9	(40)
Modulated Codes	9	(2)
Coding Gain in AWGN Channel	11	(2)
MC Combined with an ISI Channel	13	(7)
Coding Gain in ISI Channels	20	(6)
More Results on Coding Gain	26	(23)
Existence of Rate 2/Λ MC with Coding Gain	26	(7)
Some Sufficient Conditions on the Existence of Higher Rate Block MC with Coding Gain	33	(6)
A Method on the Rate Estimation of MC with Coding Gain	39	(5)
Lower and Upper Bounds on the Coding Gain	44	(5)
Joint Maximum-Likelihood Encoding and Decoding	49	(22)
Performance Analysis of MC	49	(3)
A Method for Computing the Distance Spectrum of Modulated Codes	52	(9)
Error-Pattern Trellis	53	(4)
Distance Spectrum and Bidirectional Searching Algoirithm	57	(4)
Simulation Examples	61	(5)
An Algorithm for Searching the Optimal MC Given an ISI Channel	66	(5)
Modulated Code Coded Decision Feedback Equalizer	71	(40)
MC Coded Zero-Forcing DFE	71	(14)
Performance Analysis	73	(3)
The Optimal MC Design	76	(2)
Some Simulation Results	78	(7)
MC Coded Minimum Mean Square Error DFE	85	(9)
Optimal Decision-Delay and Coefficients of an MC Coded MMSE-DFE	85	(5)
Optimal Block MC for MC Coded MMSE-DFE	90	(1)
Simulation Results	90	(4)
An Optimal MC Design Converting ISI Channel into ISI-Free Channel	94	(17)
An Optimal Modulated Code Design	95	(3)
A Sub-optimal Modulated Code Design	98	(4)
Delayed Design	102	(1)
Some Simulation Results	102	(9)
Capacity and Information Rates for Modulated Code Coded Intersymbol Interference Channels	111	(18)
Some Lower Bounds of Capacity and Information Rates	112	(2)
MC Existence with Increased Information Rates	114	(5)
Numerical Results	119	(3)
Combined Turbo and MC Coding	122	(7)
Joint Turbo and Modulated Code Encoding	123	(1)
Joint Soft Turbo and MC Decoding	123	(2)
Simulation Results	125	(4)
Space-Time Modulated Coding for Memory Channels	129	(24)
Channel Model and Space-Time MC	130	(2)
Space-Time MC Coded ZF-DFE	132	(8)
MC Coded ZF-DFE and Performance Analysis	132	(5)
The Optimal Space-Time MC Design	137	(3)
Capacity and Information Rates of the Space-Time MC Coded MIMO Systems	140	(8)
Capacity and Information Rates of MIMO Systems without MC Encoding	140	(1)
Capacity and Information Rates of the Space-Time MC Coded MIMO Systems	141	(7)
Numerical Results	148	(5)
Modulated Code Coded Orthogonal Frequency Division Multiplexing Systems	153	(32)
OFDM Systems for ISI Channels	154	(3)
General MC Coded OFDM Systems for ISI Channels	157	(6)
Channel Independent MC Coded OFDM System for ISI Channels	163	(9)
A Special MC	163	(2)
An Example	165	(2)
Performance Analysis of MC Coded OFDM Systems for ISI Channels	167	(2)
Vector OFDM Systems	169	(1)
Numerical Results	170	(2)
Channel Independent MC Coded OFDM System for Frequency-Selective Fading Channels	172	(13)
Performance Analysis	173	(4)
Simulation Results	177	(8)
Polynomial Ambiguity Resistant Modulated Codes for Blind ISI Mitigation	185	(28)
PARMC: Definitions	187	(1)
Basic Properties and a Family of PARMC	188	(6)
Applications in Blind Identification	194	(6)
Blind Identifiability	194	(3)
An Algebraic Blind Identification Algorithm	197	(3)
Applications in Communication Systems	200	(8)
Applications in Single-Receiver, Baud-Rate Sampled Systems	201	(2)
Applications in Undersampled Antenna Array Receiver Systems	203	(5)
Numerical Examples	208	(5)
Single Antenna Receiver with Baud Sampling Rate	208	(3)
Undersampled Antenna Array Receivers	211	(2)
Characterization and Construction of Polynomial Ambiguity Resistant Modulated Codes	213	(18)
PAR-Equivalence and Canonical Forms for Irreducible Polynomial Matrices	213	(6)
(Strong) rth PARMC with N > K	219	(5)
(Strong) rth PARMC with N = K + 1	224	(7)
An Optimal Polynomial Ambiguity Resistant Modulated Code Design	231	(12)
A Criterion for PARMC Design	231	(5)
Optimal Systematic PARMC	236	(2)
Numerical Examples	238	(5)
Conclusions and Some Open Problems	243	(4)
A Some Fundamentals on Multirate Filterbank Theory	247	(20)
A.1 A Some Basic Building Blocks	247	(4)
A.1.1 Decimator and Expander	248	(1)
A.1.2 Noble Identities	249	(1)
A.1.3 Polyphase Representations	250	(1)
A.2 M-Channel Multirate Filterbanks	251	(6)
A.2.1 Maximally Decimated Multirate Filterbanks: Perfect Reconstruction and Aliasing Component Matrix	252	(2)
A.2.2 Maximally Decimated Multirate Filterbanks: Perfect Reconstruction and Polyphase Matrix	254	(3)
A.3 Perfect Reconstruction FIR Multirate Filterbank Factorization and Construction	257	(6)
A.3.1 Factorization of FIR Polyphase Matrices with FIR Inverses	257	(3)
A.3.2 Factorization of Paraunitary FIR Matrix Polynomials	260	(2)
A.3.3 Perfect Reconstruction Multirate Filterbank Design	262	(1)
A.4 DFT and Cosine Modulated Filterbanks	263	(4)
A.4.1 DFT Filterbanks	263	(2)
A.4.2 Cosine Modulated Filterbanks	265	(2)
Bibliography	267	(18)
Index	285