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Summary: 210 IEEE SIGNAL PROCESSING LETTERS, VOL. 6, NO. 8, AUGUST 1999
Noise Modeling for Nearfield Array Optimization
Thushara D. Abhayapala, Student Member, IEEE, Rodney A. Kennedy, Member, IEEE,
and Robert C. Williamson, Member, IEEE
Abstract-- In this letter, an exact series representation for a
nearfield spherically isotropic noise model is introduced. The
proposed noise model can be utilized effectively to apply well-
established farfield array processing algorithms for nearfield
applications of sensor arrays. A simple array gain optimization
is used to demonstrate the use of the new noise model.
Index Terms-- Nearfield beamforming, noise modeling, opti-
mization, reverberation.
I. INTRODUCTION
NEARFIELD sensor array design is important in telecon-
ferencing and speech acquisition applications [1], [2].
Most array processing literature deals with situations where
the desired source and the noise sources are assumed to be
in the farfield of the array; this considerably simplifies the
design problem. In most stochastic optimization techniques,
the noise correlation matrix plays an integral part of the design.
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