Title
Spatial Correlation of Radial Gaussian and Uniform Spherical Volume Near-Field Source Distributions
Abstract
In this paper, a pair of analytic expressions describing the correlation functions due to spherically symmetric radial Gaussian and uniform volume near-field source position distributions are presented. An approximate spatial correlation function solution for a radial Gaussian source location distribution is derived and compared with the existing numerical methods. An exact solution for a uniform volume source location distribution is also derived and compared with existing numerical methods. The approximate radial Gaussian solution produces a result consistent with numerical methods for compact source location distributions. The uniform volume solution matches the expected behavior. Finally, the spatial correlation functions were used to design spatially robust beamformers for compact microphone arrays. Both of the spatial correlation function solutions lead to improved spatial robustness for the applications of signal enhancement and suppression.
Year
DOI
Venue
2016
10.1109/TASLP.2015.2500028
Audio, Speech, and Language Processing, IEEE/ACM Transactions
Keywords
Field
DocType
Gaussian distribution,array signal processing,near-field communication,compact microphone arrays,compact source location distributions,radial Gaussian and uniform spherical volume near-field source distributions,radial Gaussian source location distribution,robust beamformers,signal enhancement,signal suppression,spatial correlation functions,Beamforming,spatial correlation functions,spatial robustness
Mathematical analysis,Robustness (computer science),Probability distribution,Artificial intelligence,Exact solutions in general relativity,Mathematical optimization,Spatial correlation,Pattern recognition,Near and far field,Gaussian,Numerical analysis,Mathematics,Microphone
Journal
Volume
Issue
ISSN
24
1
2329-9290
Citations 
PageRank 
References 
1
0.42
10
Authors
3
Name
Order
Citations
PageRank
CraigA. Anderson120.77
Paul D. Teal210413.58
Mark A. Poletti3132.04