Here the complex envelope is written as
(3.95)
(3.96)
where and are uniformly distributed [0, 2] acting as noise seeds with k 0, . . . M-1,
the nth arrival angle of the kth fader.
; ; (3.97)
The last model is the [137] model. Here he builds on the [135] model using two Walsh-Hadamard
sequences in the following manner.
(3.98)
With A1 and A2 being the different orthogonal weighting functions and the following phases
(3.99)
All of the above modifications are successful in reducing the cross-correlation among different
multipaths. Placing implementation complexity aside for the moment, any of the above-mentioned
methods proves to be useful.
ank
2pn
N
2pk
MN
Hk(t) ?„1
No a No1
n0
(Ak1(n) jAk2(n)) # cos[vm # cos(ank) un]
ank
2pn
N
2pk
MN aoo vnk vm # cos[ank] No
N
2
ank fQ
nk fI
nk
hQk(t) 2 a No1
n0
sin[vm # sin(ank) f
Q
nk]
hIk(t) 2 a No1
n0
cos[vm # cos(ank) fI
nk]
an
2pn
No
p
No
bn
pn
No
No 4
un
Hk(t) ?„2
No
# aN
o
n1
Ak(n) # 5(cos[bn] j sin [bn]) # cos [vm # cos (ant) unk]6
162 CHAPTER THREE
3.8.3 Low Pass Filtering of WGN
In this subsection we will discuss another method used to generate Rayleigh multipath fading signals.
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