Robust SINR-constrained MISO downlink beamforming: When is semidefinite programming relaxation tight?

Enbin Song; Qingjiang Shi; Maziar Sanjabi; Ruoyu Sun; Zhi‐Quan Luo

doi:10.1109/icassp.2011.5946350

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Robust SINR-constrained MISO downlink beamforming: When is semidefinite programming relaxation tight?

Enbin Song Qingjiang Shi Maziar Sanjabi Ruoyu Sun Zhi‐Quan Luo

Year: 2011 Pages: 3096-3099

DOI: 10.1109/icassp.2011.5946350

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Abstract

We consider the robust beamforming problem under imperfect channel state information (CSI) subject to SINR constraints in a downlink multiuser MISO system. One popular approach to solve this nonconvex optimization problem is via semidefinite relaxation (SDR). In this paper, we prove that the SDR method is tight when the channel uncertainty bound is small or when the base station is equipped with two antennas.

Keywords:

Semidefinite programming Telecommunications link Beamforming Mathematical optimization Relaxation (psychology) Base station Computer science Robust optimization Optimization problem Channel state information Upper and lower bounds Imperfect Channel (broadcasting) Mathematics Wireless Telecommunications

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Advanced MIMO Systems Optimization

Physical Sciences → Engineering → Electrical and Electronic Engineering

Full-Duplex Wireless Communications

Physical Sciences → Engineering → Electrical and Electronic Engineering

Cooperative Communication and Network Coding

Physical Sciences → Computer Science → Computer Networks and Communications

Robust SINR-constrained MISO downlink beamforming: When is semidefinite programming relaxation tight?

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