Adaptive beamforming with sidelobe control: A second-order cone programming approach

Jing Liu, Alex B. Gershman, Zhi Quan Luo, Kon Max Wong

Research output: Contribution to journalLetterpeer-review

103 Scopus citations

Abstract

A new approach to adaptive beamforming with sidelobe control is developed. The proposed beamformer represents a modification of the popular minimum variance distortionless response (MVDR) beamformer. It minimizes the array output power while maintaining the distortionless response in the direction of the desired signal and a sidelobe level that is strictly guaranteed to be lower than some given (prescribed) threshold value. The resulting modified MVDR problem is shown to be convex, and its second-order cone (SOC) formulation is obtained that facilitates a computationally efficient way to implement our beamformer using the interior point method.

Original languageEnglish (US)
Pages (from-to)331-334
Number of pages4
JournalIEEE Signal Processing Letters
Volume10
Issue number11
DOIs
StatePublished - Nov 2003

Bibliographical note

Funding Information:
Manuscript received July 9, 2002; revised November 22, 2002. This work was supported in parts by the Natural Sciences and Engineering Research Council (NSERC) of Canada; Communications and Information Technology Ontario (CITO); the Premier Research Excellence Award Program of the Ministry of Energy, Science, and Technology (MEST) of Ontario; the Canada Research Chair Program; and the Wolfgang Paul Award Program of the Alexander von Humboldt Foundation.

Keywords

  • Adaptive beamforming
  • Second-order cone (SOC) programming
  • Sidelobe control

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