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Summary: 1
K distribution: an appropriate substitute for Rayleighlognormal
distribution in fadingshadowing wireless channels
A. Abdi and M. Kaveh
Indexing terms: Rayleighlognormal distribution, K distribution, fading, shadowing,
wireless channel
Rayleighlognormal distribution, proven useful for modeling fadingshadowing wireless
channels, has a complicated integral form. In this paper we have accurately approximated it
by the K distribution. This distribution is simpler and thus more appropriate for analysis and
design of wireless communication systems.
Introduction: Rayleighlognormal distribution is a mixture of Rayleigh and lognormal
distributions [1]:
f u f uV v f v dv u
U U V V
( ) ( ) ( )
= = ³
„
# 0
0 (1)
where f uV v
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