EE 5505
Prof. Jindal
Wireless Communication
March 9, 2010
Practice Problems for Midterm Exam
1.
Cell Radius
Consider a system that follows the simplified path loss model with
K
= 10 dB,
d
0
= 1
m,
γ
= 3, and
P
t
= 0 dB. Assume the noise power in the bandwidth of interest is

87
dB.
(a) If BPSK is used, what is the maximum cell radius such that all locations achieve
a bit error rate no larger than 10

3
?
(b) How does your answer change if QPSK is instead used?
2.
SmallScale Fading
In this problem we study the effect of multipath, or smallscale fading. Consider the
propagation environment shown in Figure 1, in which the received signal is the sum of
two reﬂected paths. There is no line of sight path due to the obstruction that is di
rectly in front of the TX. The TX and RX are each located
exactly midway
between
the two reﬂecting walls. For the sake of simplicity, assume the reﬂection coeﬃcient of
the wall is one, i.e., the phase is not changed when the signal bounces off the wall.
Furthermore, assume the system is narrowband.
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 Spring '08
 Jindal,N
 Bandwidth, base station, Rayleigh fading, smallscale fading

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