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An Eigen Approach to Transmit Beamforming in Wireless Networks With Single Antenna Receivers

Gaurav, Dinesh Dileep and Hari, KVS (2014) An Eigen Approach to Transmit Beamforming in Wireless Networks With Single Antenna Receivers. In: IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 13 (11). pp. 6431-6443.

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Official URL: http://dx.doi.org/ 10.1109/TWC.2014.2333523


In this paper, we propose an eigen framework for transmit beamforming for single-hop and dual-hop network models with single antenna receivers. In cases where number of receivers is not more than three, the proposed Eigen approach is vastly superior in terms of ease of implementation and computational complexity compared with the existing convex-relaxation-based approaches. The essential premise is that the precoding problems can be posed as equivalent optimization problems of searching for an optimal vector in the joint numerical range of Hermitian matrices. We show that the latter problem has two convex approximations: the first one is a semi-definite program that yields a lower bound on the solution, and the second one is a linear matrix inequality that yields an upper bound on the solution. We study the performance of the proposed and existing techniques using numerical simulations.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to the IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA
Keywords: Transmit beamforming; joint numerical range; linear matrix inequality; semidefinite relaxation
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 29 Dec 2014 05:00
Last Modified: 29 Dec 2014 05:00
URI: http://eprints.iisc.ac.in/id/eprint/50530

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