Robust ARQ Precoder Optimization for AF MIMO Relay Systems with Channel Estimation Errors
In this paper, we consider the robust retransmission precoder design for amplify-and-forward (AF) multi-input multi-output (MIMO) relay systems with channel estimation errors. With the objective of minimizing the average mean-squared-error of symbol estimations, we propose a novel progressive retran...
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| Vydáno v: | IEEE transactions on wireless communications Ročník 12; číslo 10; s. 5236 - 5247 |
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| Jazyk: | angličtina |
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New York, NY
IEEE
01.10.2013
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 | In this paper, we consider the robust retransmission precoder design for amplify-and-forward (AF) multi-input multi-output (MIMO) relay systems with channel estimation errors. With the objective of minimizing the average mean-squared-error of symbol estimations, we propose a novel progressive retransmission precoder by employing matrix diagonalization and channel pairing. As a consequence, we formulate the precoder design as a joint source/relay power allocation (PA) and channel pairing optimization problem. First, we propose the globally optimal solution, in which exhaustive search is employed for the channel pairing, while with each given channel pairing, an optimal PA algorithm is proposed to solve the nonconvex PA problem by utilizing the necessary conditions for optimality. However, the optimal channel pairing and PA solution is of very high complexity. In order to reduce the complexity, we then propose a suboptimal PA algorithm by iteratively optimizing the PA at the source and the relay, as well as a simplified channel pairing searching method based on the asymptotic optimal solution. It is shown that our proposed robust retransmission precoder improves the system performance significantly, meanwhile, the performance degradation of the low complexity PA and channel pairing algorithm is slight as compared to the optimal PA algorithm and the optimal channel pairing method. |
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| AbstractList | In this paper, we consider the robust retransmission precoder design for amplify-and-forward (AF) multi-input multi-output (MIMO) relay systems with channel estimation errors. With the objective of minimizing the average mean-squared-error of symbol estimations, we propose a novel progressive retransmission precoder by employing matrix diagonalization and channel pairing. As a consequence, we formulate the precoder design as a joint source/relay power allocation (PA) and channel pairing optimization problem. First, we propose the globally optimal solution, in which exhaustive search is employed for the channel pairing, while with each given channel pairing, an optimal PA algorithm is proposed to solve the nonconvex PA problem by utilizing the necessary conditions for optimality. However, the optimal channel pairing and PA solution is of very high complexity. In order to reduce the complexity, we then propose a suboptimal PA algorithm by iteratively optimizing the PA at the source and the relay, as well as a simplified channel pairing searching method based on the asymptotic optimal solution. It is shown that our proposed robust retransmission precoder improves the system performance significantly, meanwhile, the performance degradation of the low complexity PA and channel pairing algorithm is slight as compared to the optimal PA algorithm and the optimal channel pairing method. |
| Author | Ling Qiu Zhengyu Zhang Jie Xu |
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| Keywords | Performance evaluation ARQ Parameter estimation Relay mean-squared-error Error estimation Amplify-and-forward (AF) multi-input multi-output (MIMO) relay Iterative method Power supply Optimization Mean square error Degradation Channel estimation Routing protocols Damaging Matrix diagonalization MIMO system Estimation error Optimal algorithm Coding circuit Transmission protocol robust precoder design channel estimation error Necessary condition Relay channel Optimal solution Optimality criterion Automatic repeat request |
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| SubjectTerms | Access methods and protocols, osi model Algorithms Amplify-and-forward (AF) multi-input multi-output (MIMO) relay Applied sciences ARQ Automatic repeat request Channel estimation channel estimation error Detection, estimation, filtering, equalization, prediction Exact sciences and technology Information, signal and communications theory Magnetic resonance mean-squared-error MIMO Operations research Optimization Receivers Relays robust precoder design Robustness Signal and communications theory Signal, noise Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Teleprocessing networks. Isdn Transmission and modulation (techniques and equipments) |
| Title | Robust ARQ Precoder Optimization for AF MIMO Relay Systems with Channel Estimation Errors |
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