A Worst-Case Robust MMSE Transceiver Design for Nonregenerative MIMO Relaying

Transceiver designs have been a key issue in guaranteeing the performance of multiple-input multiple-output (MIMO) relay systems, which are, however, often subject to imperfect channel state information (CSI). In this paper, we aim to design a robust MIMO transceiver for nonregenerative MIMO relay s...

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Bibliographic Details
Published in:IEEE transactions on wireless communications Vol. 13; no. 2; pp. 695 - 709
Main Authors: Shen, Hong, Wang, Jiaheng, Xu, Wei, Rong, Yue, Zhao, Chunming
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.02.2014
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Applied sciences
Channels
Design engineering
Detection, estimation, filtering, equalization, prediction
Equalizers
Exact sciences and technology
imperfect channel state information (CSI)
Information, signal and communications theory
MIMO
Minimax technique
minimum mean-squared error (MMSE)
Multiple-input multiple-output (MIMO) relay systems
Optimization
Radiocommunications
Relay systems
Relays
Robustness
Scalars
Signal and communications theory
Signal, noise
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transceivers
Transmission and modulation (techniques and equipments)
Transmitters. Receivers
Vectors
worst-case transceiver design
Performance evaluation
MIMO system
Relaying
Parameter estimation
Relay
Coding circuit
Worst case method
Channel structure
imperfect channel state information (CSI)
Equalizer
Algorithm
Transceiver
Mean square error
Multiple-input multiple-output (MIMO) relay systems
minimum mean-squared error (MMSE)
Simulation
worst-case transceiver design
Channel estimation
Optimal solution
Minimax method
ISSN:1536-1276, 1558-2248
Online Access:Get full text
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Description
Summary:Transceiver designs have been a key issue in guaranteeing the performance of multiple-input multiple-output (MIMO) relay systems, which are, however, often subject to imperfect channel state information (CSI). In this paper, we aim to design a robust MIMO transceiver for nonregenerative MIMO relay systems against imperfect CSI from a worst-case robust perspective. Specifically, we formulate the robust transceiver design, under the minimum mean-squared error (MMSE) criterion, as a minimax problem. Then, by decomposing the minimax problem into two subproblems with respect to the relay precoder and destination equalizer, respectively, we show that the optimal solution to each subproblem has a favorable channel-diagonalizing structure under some mild conditions. Based on this finding, we transform the two complex-matrix subproblems into their equivalent scalar forms, both of which are proven to be convex and can be efficiently solved by our proposed methods. We further propose an alternating algorithm to jointly optimize the precoder and equalizer that only requires scalar operations. Finally, the effectiveness of the proposed robust design is verified by simulation results.
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ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2013.120413.130009