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

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

doi:10.1109/LSP.2003.817852

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

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

Electrical and Computer Engineering

Research output: Contribution to journal › Letter › peer-review

131 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 language	English (US)
Pages (from-to)	331-334
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	10
Issue number	11
DOIs	https://doi.org/10.1109/LSP.2003.817852
State	Published - 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

Access

10.1109/LSP.2003.817852

OpenUrl availability

Full text

Cite this

@article{fc2ffef50fc442dba0877a6dab1d3c1a,

title = "Adaptive beamforming with sidelobe control: A second-order cone programming approach",

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.",

keywords = "Adaptive beamforming, Second-order cone (SOC) programming, Sidelobe control",

author = "Jing Liu and Gershman, {Alex B.} and Luo, {Zhi Quan} and Wong, {Kon Max}",

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.",

year = "2003",

month = nov,

doi = "10.1109/LSP.2003.817852",

language = "English (US)",

volume = "10",

pages = "331--334",

journal = "IEEE Signal Processing Letters",

issn = "1070-9908",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "11",

}

TY - JOUR

T1 - Adaptive beamforming with sidelobe control

T2 - A second-order cone programming approach

AU - Liu, Jing

AU - Gershman, Alex B.

AU - Luo, Zhi Quan

AU - Wong, Kon Max

N1 - 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.

PY - 2003/11

Y1 - 2003/11

N2 - 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.

AB - 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.

KW - Adaptive beamforming

KW - Second-order cone (SOC) programming

KW - Sidelobe control

UR - http://www.scopus.com/inward/record.url?scp=0242334142&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242334142&partnerID=8YFLogxK

U2 - 10.1109/LSP.2003.817852

DO - 10.1109/LSP.2003.817852

M3 - Letter

AN - SCOPUS:0242334142

SN - 1070-9908

VL - 10

SP - 331

EP - 334

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

IS - 11

ER -

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

Abstract

Bibliographical note

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this