Convex transmit beamforming for downlink multicasting to multiple co-channel groups

Eleftherios Karipidis, Nikolaos Sidiropoulos, Zhi-Quan Luo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

26 Scopus citations

Abstract

We consider the problem of transmit beamforming to multiple co-channel multicast groups. Since the direct minimization of transmit power while guaranteeing a prescribed minimum signal to interference plus noise ratio (SINR) at each receiver is nonconvex and NP-hard, we present convex SDP relaxations of this problem and study when such relaxations are tight. Our results show that when the steering vectors for all receivers are of Vandermonde type (such as in the case of a uniform linear array and line-of-sight propagation), a globally optimum solution to the corresponding transmit beamforming problem can be obtained via an equivalent SDP reformulation. We also present various robust formulations for the problem of single-group multicasting, when the steering vectors are only approximately known. Simulation results are presented to illustrate the effectiveness of our SDP relaxations and reformulations.

Original languageEnglish (US)
Title of host publication2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings
Volume5
StatePublished - Dec 1 2006
Event2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006 - Toulouse, France
Duration: May 14 2006May 19 2006

Other

Other2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006
CountryFrance
CityToulouse
Period5/14/065/19/06

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    Karipidis, E., Sidiropoulos, N., & Luo, Z-Q. (2006). Convex transmit beamforming for downlink multicasting to multiple co-channel groups. In 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings (Vol. 5). [1661440]