Min–max mean squared error-based linear transceiver design for multiple-input–multiple-output interference relay channel

• Published in: IET communications Vol. 9; no. 6; pp. 853 - 861
• Main Authors: Singh, Vindheshwari P, Chaturvedi, Ajit Kumar
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 16.04.2015
• Subjects: alternating minimisation; amplify and forward communication; array signal processing; beamforming matrices; bit error rate performance; Channels; concave programming; Data transmission; destination nodes; half‐duplex MIMO amplify and forward relays; Interference; Mathematical analysis; Mathematical models; matrix algebra; mean square error methods; MIMO communication; MIMO interference relay channel; minimax techniques; minimisation; min‐max mean squared error‐based linear transceiver relay design; MSE; multiple source‐destination pairs; multiple‐input‐multiple‐output interference relay channel; nonconvex optimisation problem; numerical simulations; Optimization; radio transceivers; radiofrequency interference; Relay; relay networks (telecommunication); relay node; source node; suboptimal solution; sum‐rate performance; Transceivers; transmit power constraints; user data streams; wireless channels; alternating minimisation; multiple-input-multiple-output interference relay channel; min-max mean squared error-based linear transceiver relay design; minimax techniques; amplify and forward communication; nonconvex optimisation problem; radiofrequency interference; relay node; beamforming matrices; bit error rate performance; multiple source-destination pairs; wireless channels; mean square error methods; source node; MIMO communication; concave programming; MSE; relay networks (telecommunication); array signal processing; numerical simulations; radio transceivers; user data streams; destination nodes; transmit power constraints; MIMO interference relay channel; suboptimal solution; matrix algebra; half-duplex MIMO amplify and forward relays; minimisation; sum-rate performance
• ISSN: 1751-8628; 1751-8636
• DOI: 10.1049/iet-com.2014.0722

In this study, the authors consider the min–max mean squared error (MSE)-based linear transceiver–relay design for multiple-input–multiple-output (MIMO) interference relay channel, where a finite number of half-duplex MIMO amplify and forward relays assist the communication between multiple source–destination pairs. The problem is formulated as minimising the maximum MSE among all data streams of all users subject to individual transmit power constraints at each source and relay node. Since the optimisation problem is non-convex, globally optimal solution cannot be guaranteed. They propose a suboptimal solution based on alternating minimisation, where the beamforming matrices at all the source, relay and destination nodes are jointly computed in an iterative manner. Numerical simulations show that the proposed algorithm not only ensures fairness among all users’ data streams, but also achieves good sum-rate and bit error rate performance.