| | |
Summary: ON DIMENSIONALITY OF MULTIPATH FIELDS: SPATIAL EXTENT AND RICHNESS
Haley M. Jones, Rodney A. Kennedy and Thushara D. Abhayapala
Department of Telecommunications Engineering
Research School of Information Sciences and Engineering
Institute of Advanced Studies
The Australian National University
ACT 0200, Australia
ABSTRACT
We establish that an arbitrary narrowband multipath field in any
circular region in two dimensional space has an intrinsic functional
dimensionality of (e)R/ 8.54 R/ that scales only linearly
with radius R/ in wavelengths. This result implies there is no
such thing as an arbitrarily complicated multipath field. That is,
a field generated by any number of nearfield and farfield, specu-
lar and diffuse multipath reflections is no more complicated than
a field generated by a limited number plane waves. As such, there
are limits on how rich multipath can be. This result has significant
implications including means: i) to determine a parsimonious pa-
rameterization for arbitrary multipath fields, ii) of synthesizing ar-
bitrary multipath fields with arbitrarily located nearfield or farfield,
|
