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Summary: IEEE SIGNAL PROCESSING LETTERS, VOL. 9, NO. 10, OCTOBER 2002 305
Spatial Correlation for General Distributions
of Scatterers
Paul D. Teal, Thushara D. Abhayapala, Member, IEEE, and Rodney A. Kennedy, Senior Member, IEEE
Abstract--The well-known results of the spatial correlation
function for two-dimensional and three-dimensional diffuse fields
of narrowband signals are generalized to the case of general
distributions of scatterers. A method is presented that allows
closed-form expressions for the correlation function to be obtained
for arbitrary scattering distribution functions. These closed-form
expressions are derived for a variety of commonly used scattering
distribution functions.
Index Terms--Scattering distribution, sensors, spatial correla-
tion.
I. INTRODUCTION
THERE IS GROWING interest in the literature in the use
of multiple sensors--particularly, multiple antennas for
transmission and/or reception of wireless signals. As well as
diversity reception [1], this includes such areas as acoustic
systems, fixed and mobile multiple-input multiple-output
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