Approximation bound for semidefinite relaxation based multicast transmit beamforming

Tsung Hui Chang, Zhi-Quan Luo, Chong Yung Chi

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

Abstract

The max-min-fair transmit beamforming problem in multigroup broadcasting has been shown to be NP-hard in general. Recently, a polynomial time approximation approach based on semidefinite relaxation (SDR) has been proposed [1]. It was found [1]. through computer simulations, that this method is capable of giving a good approximate solution in polynomial time. This paper shows that the SDR based approach can guarantee as least an ο(1/M) approximation quality, where M is the total number of receivers. The existence of such a data independent bound certifies the worst case approximation quality of the SDR algorithm for any problem instance and any number of transmit antennas.

Original languageEnglish (US)
Title of host publication2007 2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMPSAP
Pages193-196
Number of pages4
DOIs
StatePublished - Dec 1 2007
Event2007 2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMPSAP - St. Thomas, Virgin Islands, U.S.
Duration: Dec 12 2007Dec 14 2007

Publication series

Name2007 2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMPSAP

Other

Other2007 2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMPSAP
Country/TerritoryVirgin Islands, U.S.
CitySt. Thomas
Period12/12/0712/14/07

Keywords

  • Approximation bound
  • Broadcasting
  • Semidefinite relaxation
  • Transmit beamforming

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