
295Statistical Simulation of Multipath Fading Channels
a physical interpretation, but it has been adopted by many authors lately, due to its good agreement
(better than the Rayleigh or Rice distributions) with empirical channel measurements for some
urban multipath environments [73–75]. The Nakagami-m PDF is given by
px
ux
()
=
()
⎛
⎝
⎜
⎞
⎠
⎟
−
⎛
⎝
⎜
⎞
⎠
⎟
−
2
21 2
ΓΩ Ωμ
μ
μ
ex
where Γ(μ) is the gamma function [68]. A Nakagami-m distributed RV will be denoted as
x ~ Nakagami (μ,Ω), where μ and Ω are the two parameters of the Nakagami distribution. The
expected
value is now
x
{}
=
+
Γμ
Γμ
Ω
μ
,
the mean squared value is
, and the
vari-
ance is
r
/
x
{}