Optimal Distributed Beamforming for Two-User MISO Interference Channel Based on a Game-Theoretic Viewpoint

Jiamin LI; Dongming WANG; Pengcheng ZHU; Lan TANG; Xiaohu YOU

doi:10.1587/transcom.E95.B.3345

Optimal Distributed Beamforming for Two-User MISO Interference Channel Based on a Game-Theoretic Viewpoint

Jiamin LI, Dongming WANG, Pengcheng ZHU, Lan TANG, Xiaohu YOU

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All points on the Pareto boundary can be obtained by solving the weighted sum rate maximization problem for some weighted coefficients. Unfortunately, the problem is non-convex and difficult to solve without performing an exhaustive search. In this paper, we propose an optimal distributed beamforming strategy for the two-user multiple-input single-output (MISO) interference channel (IC). Through minimizing the interference signal power leaked to the other receiver for fixed useful signal power received at the intended receiver, the original non-convex optimization problem can be converted into a family of convex optimization problems, each which can be solved in distributed manner with only local channel state information at each transmitter. After some conversion, we derive the closed-form solutions to all Pareto optimal points based on a game-theoretic viewpoint which indicates that linear combinations of the maximum-ratio transmit (MRT) and zero-forcing (ZF) beamforming strategies can achieve any point on the Pareto boundary of the rate region for the two-user MISO interference channel, and the only computation involved is to solve a basic quadratic equation. Finally, the result is validated via numerical simulations.

Publication: IEICE TRANSACTIONS on Communications Vol.E95-B No.10 pp.3345-3348

Publication Date: 2012/10/01

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Online ISSN: 1745-1345

DOI: 10.1587/transcom.E95.B.3345

Type of Manuscript: LETTER

Category: Wireless Communication Technologies

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Jiamin LI, Dongming WANG, Pengcheng ZHU, Lan TANG, Xiaohu YOU, "Optimal Distributed Beamforming for Two-User MISO Interference Channel Based on a Game-Theoretic Viewpoint" in IEICE TRANSACTIONS on Communications, vol. E95-B, no. 10, pp. 3345-3348, October 2012, doi: 10.1587/transcom.E95.B.3345.
Abstract: All points on the Pareto boundary can be obtained by solving the weighted sum rate maximization problem for some weighted coefficients. Unfortunately, the problem is non-convex and difficult to solve without performing an exhaustive search. In this paper, we propose an optimal distributed beamforming strategy for the two-user multiple-input single-output (MISO) interference channel (IC). Through minimizing the interference signal power leaked to the other receiver for fixed useful signal power received at the intended receiver, the original non-convex optimization problem can be converted into a family of convex optimization problems, each which can be solved in distributed manner with only local channel state information at each transmitter. After some conversion, we derive the closed-form solutions to all Pareto optimal points based on a game-theoretic viewpoint which indicates that linear combinations of the maximum-ratio transmit (MRT) and zero-forcing (ZF) beamforming strategies can achieve any point on the Pareto boundary of the rate region for the two-user MISO interference channel, and the only computation involved is to solve a basic quadratic equation. Finally, the result is validated via numerical simulations.
URL: https://globals.ieice.org/en_transactions/communications/10.1587/transcom.E95.B.3345/_p

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@ARTICLE{e95-b_10_3345,
author={Jiamin LI, Dongming WANG, Pengcheng ZHU, Lan TANG, Xiaohu YOU, },
journal={IEICE TRANSACTIONS on Communications},
title={Optimal Distributed Beamforming for Two-User MISO Interference Channel Based on a Game-Theoretic Viewpoint},
year={2012},
volume={E95-B},
number={10},
pages={3345-3348},
abstract={All points on the Pareto boundary can be obtained by solving the weighted sum rate maximization problem for some weighted coefficients. Unfortunately, the problem is non-convex and difficult to solve without performing an exhaustive search. In this paper, we propose an optimal distributed beamforming strategy for the two-user multiple-input single-output (MISO) interference channel (IC). Through minimizing the interference signal power leaked to the other receiver for fixed useful signal power received at the intended receiver, the original non-convex optimization problem can be converted into a family of convex optimization problems, each which can be solved in distributed manner with only local channel state information at each transmitter. After some conversion, we derive the closed-form solutions to all Pareto optimal points based on a game-theoretic viewpoint which indicates that linear combinations of the maximum-ratio transmit (MRT) and zero-forcing (ZF) beamforming strategies can achieve any point on the Pareto boundary of the rate region for the two-user MISO interference channel, and the only computation involved is to solve a basic quadratic equation. Finally, the result is validated via numerical simulations.},
keywords={},
doi={10.1587/transcom.E95.B.3345},
ISSN={1745-1345},
month={October},}

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TY - JOUR
TI - Optimal Distributed Beamforming for Two-User MISO Interference Channel Based on a Game-Theoretic Viewpoint
T2 - IEICE TRANSACTIONS on Communications
SP - 3345
EP - 3348
AU - Jiamin LI
AU - Dongming WANG
AU - Pengcheng ZHU
AU - Lan TANG
AU - Xiaohu YOU
PY - 2012
DO - 10.1587/transcom.E95.B.3345
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E95-B
IS - 10
JA - IEICE TRANSACTIONS on Communications
Y1 - October 2012
AB - All points on the Pareto boundary can be obtained by solving the weighted sum rate maximization problem for some weighted coefficients. Unfortunately, the problem is non-convex and difficult to solve without performing an exhaustive search. In this paper, we propose an optimal distributed beamforming strategy for the two-user multiple-input single-output (MISO) interference channel (IC). Through minimizing the interference signal power leaked to the other receiver for fixed useful signal power received at the intended receiver, the original non-convex optimization problem can be converted into a family of convex optimization problems, each which can be solved in distributed manner with only local channel state information at each transmitter. After some conversion, we derive the closed-form solutions to all Pareto optimal points based on a game-theoretic viewpoint which indicates that linear combinations of the maximum-ratio transmit (MRT) and zero-forcing (ZF) beamforming strategies can achieve any point on the Pareto boundary of the rate region for the two-user MISO interference channel, and the only computation involved is to solve a basic quadratic equation. Finally, the result is validated via numerical simulations.
ER -