On the Design of Optimal Linear Microphone Array Geometries


In this paper, we present a simultaneous optimization model for aperiodic linear microphone array geometry and weights. Desirable properties for Broadband arrays include robust superdirective frequency invariant beampatterns. Our approach is to employ particle swarm optimization (PSO) to search for the optimal geometry while selecting optimal weights for each particle's geometry. The resulting directivity factor (DFs) and white noise gains (WNGs) are used to define the PSO fitness function. The proposed approach also optimizes the trade-off between WNG and DF, to find a geometry within a given aperture, thus, maximizing both these parameters. The proposed method allows the user great flexibility in specifying desired DFs and WNGs over frequency by virtue of the PSO fitness function. The resultant array geometry is smaller and yields greater WNG and DF than conventional approach.

Meeting Name

16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018 (2018: Sep. 17-20, Tokyo, Japan)


Electrical and Computer Engineering

Research Center/Lab(s)

Intelligent Systems Center


Research reported in this publication was partially supported by Navy SBIR program under award number N122-126. Dr. Steven L. Grant (AKA, Steven L. Gay) passed away on April 24, 2016. The authors would like to thank him for his contribution. For part of the work in this paper was done under his supervision.

Keywords and Phrases

Acoustic noise; Economic and social effects; Geometry; Microphones; White noise; Broadband arrays; Conventional approach; Directivity factor; Frequency invariant; Linear microphonearray; Microphone arrays; Nested arrays; Simultaneous optimization; Particle swarm optimization (PSO); Linear differential microphone arrays; White noise gain

International Standard Book Number (ISBN)


Document Type

Article - Conference proceedings

Document Version


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© 2018 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Sep 2018