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Summary: Proceedings 4th Australian Communication Theory Workshop 2003 87
Modeling Multipath Scattering Environments
Using Generalized Herglotz Wave Functions
Rodney A. Kennedy, Thushara D. Abhayapala, and Tony S. Pollock
Abstract--We develop a general mathematical model for
nearfield multipath scattering as a basis for studying the spatial
limits imposed on multi-antenna wireless communication systems.
This model generalizes the Herglotz Wave Function, which is an
important tool in the study of inverse scattering problems, to a
form where the scatterers can be nearfield. This permits the de-
velopment of the most general form of spatial correlation which is
known to be the principle factor in the determination of the capac-
ity of wireless systems.
Index Terms--Multipath channel modeling, Wireless channels,
Herglotz wave functions, Nearfield sources.
I. INTRODUCTION
Multipath modeling in wireless and mobile communication
tends to be very naive and simplistic. Often multipath is repre-
sented as a superposition of a low number of paths usually with
quite artificial scattering geometries such as having scatterers
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