Opens in a new tab

AES E-Library

← Back to search

Convention Paper

Spatio-Temporal Gradient Analysis of Differential Microphone Arrays

Authors: Kolundzija, Mihailo; Vetterli, Martin; Faller, Christof

AES Convention 126 · Paper 7772 · May 2009

Abstract

The literature on gradient and differential microphone arrays makes a distinction between the two types, and nevertheless shows how both types can be used to obtain the same directional responses. A more theoretically sound rationale for using delays in differential microphone arrays has not yet been given. This paper presents a gradient analysis of the sound field viewed as a spatio-temporal phenomenon, and gives a theoretical interpretation of the working principles of gradient and differential microphone arrays. It shows that both types of microphone arrays can be viewed as devices for approximately measuring spatio-temporal derivatives of the sound field. Furthermore, it also motivates the design of high-order differential microphone arrays using the aforementioned spatio-temporal gradient analysis.

Details

Published in
AES Convention 126
AES Convention
126
Paper number
7772
Publication date
May 6, 2009
Session subject
Microphones and Headphones
Affiliation
Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland; University of California at Berkeley, Berkeley, CA, USA (See document for exact affiliation information.)
Type
Convention Paper