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GENERALIZED FRAMEWORK FOR SPHERICAL MICROPHONE ARRAYS: SPATIAL AND FREQUENCY DECOMPOSITION
 

Summary: GENERALIZED FRAMEWORK FOR SPHERICAL MICROPHONE ARRAYS: SPATIAL AND
FREQUENCY DECOMPOSITION
Thushara D. Abhayapala
Department of Information Engineering
Research School of Information Sciences & Engineering
Australian National University
e-mail: Thushara.Abhayapala@anu.edu.au
ABSTRACT
This paper provides a generalized framework to decompose a
sourcefield into its spatial and frequency components using a
spherical microphone array. Spherical arrays are used to de-
compose a soundfield into spherical harmonics which are the
natural basis functions for space over directions. This paper
extends this theory by including basis functions in frequency
to decompose a soundfield into spatial-frequency components.
Specifically, we use spherical Bessel functions as a set of ba-
sis in frequency. The paper also shows how to avoid numer-
ical ill-conditioning inherited in open spherical arrays at fre-
quencies corresponding to Bessel zeros.
Index Terms-- Spherical microphone array, spatial de-

  

Source: Abhayapala, Thushara D. - Department of Information Engineering, Australian National University

 

Collections: Computer Technologies and Information Sciences