Spherical harmonics based optimal minimum sidelobe beamforming for spherical sensor arrays

Haohai Sun*, Shefeng Yan, U. Peter Svensson, Hao Feng Sun

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Citations (Scopus)

Abstract

We propose an optimal minimum sidelobe modal beamforming approach based on the spherical harmonics decomposition for spherical sensor arrays, which provide the ability of three-dimensional broad-band beampattern synthesis. The spherical harmonics domain array processing problem is expressed with a matrix formulation. The weight vector design problem is written as a multiply constrained problem, so that the resulting beamformer can provide a suitable trade-off among mutually conflicting beamforming objectives, such as the lowest sidelobe level, beamwidth, multi-null steering, robustness and so on. The multiply constrained problem is formulated as a convex form of second-order cone programming which is computationally tractable. The main advantage of this method over classical element-space array processing approaches is that the frequency dependent components can be pre-decoupled and removed from angular depe-ndent spherical harmonics, so the same beampattern could be used over a frequency range with a single set of array weights, and the complexity of broad-band beamforming optimization algorithms can be reduced.

Original languageEnglish
Title of host publication2010 International ITG Workshop on Smart Antennas, WSA 2010
Pages286-291
Number of pages6
DOIs
Publication statusPublished - 2010
Externally publishedYes
Event2010 International ITG Workshop on Smart Antennas, WSA 2010 - Bremen, Germany
Duration: 23 Feb 201024 Feb 2010

Publication series

Name2010 International ITG Workshop on Smart Antennas, WSA 2010

Conference

Conference2010 International ITG Workshop on Smart Antennas, WSA 2010
Country/TerritoryGermany
CityBremen
Period23/02/1024/02/10

Keywords

  • Beamforming
  • Robustness
  • Sidelobe control
  • Spherical array
  • Spherical harmonics

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