Statistically robust transceiver design algorithms for relay aided multiple-input multiple-output interference systems

• Published in: IET signal processing Vol. 12; no. 1; pp. 51 - 63
• Main Authors: Singh, Vindheshwari P, Chaturvedi, Ajit K
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 01.02.2018
• Subjects: alternating minimisation approach; amplify and forward communication; amplify‐and‐forward relay aided multiple‐input multiple‐output interference systems; averaged mean squared error minimization; channel estimation; channel estimation error; concave programming; covariance matrices; covariance matrix; CSI; direct transmitter‐receiver links; imperfect channel state information; iterative methods; matrix variables; max‐MSE minimisation based optimisation problems; mean square error methods; MIMO communication; minimax techniques; minimisation; nonconvex optimisation problems; power constraints; precoding; precoding matrices; radio links; radio transceivers; radiofrequency interference; receiver filter matrices; relay networks (telecommunication); relay nodes; Research Article; statistically robust transceiver design algorithms; sub‐optimal iterative algorithms; sum‐MSE minimisation; radio links; iterative methods; power constraints; max-MSE minimisation based optimisation problems; statistically robust transceiver design algorithms; receiver filter matrices; precoding; minimax techniques; alternating minimisation approach; amplify and forward communication; covariance matrix; radiofrequency interference; relay nodes; CSI; sum-MSE minimisation; mean square error methods; averaged mean squared error minimization; MIMO communication; concave programming; imperfect channel state information; relay networks (telecommunication); covariance matrices; radio transceivers; direct transmitter-receiver links; channel estimation error; channel estimation; nonconvex optimisation problems; matrix variables; amplify-and-forward relay aided multiple-input multiple-output interference systems; precoding matrices; minimisation; sub-optimal iterative algorithms
• ISSN: 1751-9675; 1751-9683; 1751-9683
• DOI: 10.1049/iet-spr.2017.0054

In this study, the authors consider robust transceiver design for amplify-and-forward relay aided multiple-input multiple-output interference systems assuming direct transmitter–receiver links and imperfect channel state information (CSI). The imperfect CSI of each link consists of the estimated channel and the covariance matrix of the channel estimation error. The authors address two transceiver optimisation problems: one is minimising the sum of averaged mean squared error (MSE) at all the receivers and the other is minimising the maximum averaged MSE among all the receivers, both of which are subject to power constraints at the transmitter and relay nodes. The formulated sum-MSE minimisation and max-MSE minimisation based optimisation problems are non-convex with matrix variables and therefore a globally optimal solution is difficult to obtain. To solve these non-convex optimisation problems, they develop sub-optimal iterative algorithms based on alternating minimisation approach to jointly optimise the precoding matrices at the transmitter and relay nodes and the receiver filter matrices. Simulation results demonstrate the effectiveness of the proposed algorithms and their improved performance against CSI uncertainties at similar computational cost as the existing non-robust designs.