TY - JOUR
T1 - Robust transmitter design for amplify-and-forward MIMO relay systems exploiting only channel statistics
AU - Wen, Chao Kai
AU - Chen, Jung Chieh
AU - Ting, Pangan
N1 - Funding Information:
Manuscript received January 28, 2011; revised June 23, 2011 and October 3, 2011; accepted November 4, 2011. The associate editor coordinating the review of this paper and approving it for publication was M.-O. Pun. The material in this paper was presented in part at ISPACS 2010, Chengdu, China, Dec. 2010 [38]. C.-K. Wen is with the Institute of Communications Engineering, National Sun Yat-sen University, Kaohsiung 804, Taiwan (e-mail: [email protected]). J.-C. Chen (corresponding author) is with the Department of Optoelectronics and Communication Engineering, National Kaohsiung Normal University, Kaohsiung 802, Taiwan (e-mail: [email protected]). P. Ting is with the Industrial Technology Research Institute, Hsinchu 310, Taiwan (e-mail: [email protected]). The work of C.-K. Wen was supported in part by the National Science Council (NSC) of Taiwan under Grant NSC 100-2221-E-110-052-MY3. The work of J.-C. Chen was supported in part by the NSC of Taiwan under Grant NSC 100-2221-E-017-006-MY3. Digital Object Identifier 10.1109/TWC.2011.121911.110193
PY - 2012/2
Y1 - 2012/2
N2 - In this paper, we address statistically robust transmit design problems that maximize the average mutual information of amplify-and-forward (AF) multiple-input multiple-output (MIMO) two-hop relay channels having perfect channel state information at the receiver (CSIR) and statistical channel state information at the transmitter (CSIT). In the selected scenario, the source, relay, and destination terminals are equipped with correlated antennas where a direct link between the source and the destination terminals can be found. Moreover, the statistical CSIT consists of the channel means and covariance matrices of various links. The design problem is taken into account for regimes in large systems because there are no closed-form expressions of the average mutual information in the MIMO relay channel. The contribution of this study includes the derivation of asymptotic mutual information expressions for the MIMO relay channel in the large system limit. Additionally, an efficient optimization algorithm based on the asymptotic mutual information is proposed in order to find the asymptotically optimal source covariance matrix and the relay amplifying matrix. Numerical simulation results show that the new approach achieves indistinguishable performance compared to those of the maximization approaches in finite-dimensional systems, even for a small number of antennas at each link. The impact of the CSI of various links on the throughput of the MIMO relay channel is studied using the new approach
AB - In this paper, we address statistically robust transmit design problems that maximize the average mutual information of amplify-and-forward (AF) multiple-input multiple-output (MIMO) two-hop relay channels having perfect channel state information at the receiver (CSIR) and statistical channel state information at the transmitter (CSIT). In the selected scenario, the source, relay, and destination terminals are equipped with correlated antennas where a direct link between the source and the destination terminals can be found. Moreover, the statistical CSIT consists of the channel means and covariance matrices of various links. The design problem is taken into account for regimes in large systems because there are no closed-form expressions of the average mutual information in the MIMO relay channel. The contribution of this study includes the derivation of asymptotic mutual information expressions for the MIMO relay channel in the large system limit. Additionally, an efficient optimization algorithm based on the asymptotic mutual information is proposed in order to find the asymptotically optimal source covariance matrix and the relay amplifying matrix. Numerical simulation results show that the new approach achieves indistinguishable performance compared to those of the maximization approaches in finite-dimensional systems, even for a small number of antennas at each link. The impact of the CSI of various links on the throughput of the MIMO relay channel is studied using the new approach
UR - https://www.scopus.com/pages/publications/84857366971
UR - https://www.scopus.com/pages/publications/84857366971#tab=citedBy
U2 - 10.1109/TWC.2011.121911.110193
DO - 10.1109/TWC.2011.121911.110193
M3 - Article
AN - SCOPUS:84857366971
SN - 1536-1276
VL - 11
SP - 668
EP - 682
JO - IEEE Transactions on Wireless Communications
JF - IEEE Transactions on Wireless Communications
IS - 2
M1 - 6112151
ER -