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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| Published in: | IEEE transactions on wireless communications Vol. 13; no. 2; pp. 695 - 709 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
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New York, NY
IEEE
01.02.2014
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 1536-1276, 1558-2248 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Jiaheng Wang Yue Rong Hong Shen Wei Xu Chunming Zhao |
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| Keywords | 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 |
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| SubjectTerms | 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 |
| Title | A Worst-Case Robust MMSE Transceiver Design for Nonregenerative MIMO Relaying |
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