Linear precoding via conic optimization for fixed MIMO receivers

• Published in: IEEE transactions on signal processing Vol. 54; no. 1; pp. 161 - 176
• Main Authors: Wiesel, A., Eldar, Y.C., Shamai, S.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.01.2006; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Acoustic distortion; Ambient intelligence; Applied sciences; Array signal processing; Beamforming; Coding, codes; Conics; Design engineering; Design optimization; Exact sciences and technology; Information, signal and communications theory; Linear precoding; MIMO; Multiaccess communication; multiple-input-multiple-output (MIMO) systems; Optimization; optimization methods; Packages; Power control; Receivers; Signal and communications theory; Signal processing algorithms; Signal to noise ratio; Simulation; Telecommunications and information theory; Transmitters; Transmitting antennas; MIMO system; Linear precoding; Receiver; Performance analysis; optimization methods; Multiuser channels; Channel coding; Optimization; multiple-input-multiple- output (MIMO) systems
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/TSP.2005.861073

In this paper, the problem of designing linear precoders for fixed multiple-input-multiple-output (MIMO) receivers is considered. Two different design criteria are considered. In the first, the transmitted power is minimized subject to signal-to-interference-plus-noise-ratio (SINR) constraints. In the second, the worst case SINR is maximized subject to a power constraint. It is shown that both problems can be solved using standard conic optimization packages. In addition, conditions are developed for the optimal precoder for both of these problems, and two simple fixed-point iterations are proposed to find the solutions that satisfy these conditions. The relation to the well-known uplink-downlink duality in the context of joint transmit beamforming and power control is also explored. The proposed precoder design is general, and as a special case, it solves the transmit rank-one beamforming problem. Simulation results in a multiuser system show that the resulting precoders can significantly outperform existing linear precoders.