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Summary: GENERALIZED HERGLOTZ WAVE FUNCTIONS FOR MODELLING WIRELESS
NEARFIELD MULTIPATHSCATTERING ENVIRONMENTS
Rodney A. Kennedy, Thushara D.Abhayapala, Tony. S. Pollock
National ICT Australia
Department of Telecommunications Engineering, RSISE
Institute for Advanced Studies
The Australian National University, Canberra 0200 Australia
ABSTRACT
We develop a general mathematical model for nearfield multipath
scattering as a basis far studying the spatial limits imposed an
multi-antenna wireless communication systems. This model gen-
eralizes the Herglotz Wave Function, which is an important tool in
the study of inverse scattering problems, to a form where the scat-
terers can be nearfield. This permits the development of the most
general form of spatial correlation which is known to constrain the
capacity of wireless systems.
1. INTRODUCTION
A standard model for a multipath field in R3is to represent it as a
supelposition of plane waves from discrete directions:
P
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