EE230B Prof. Greg Pottie
1
Quiz 2 Solution
Spring 09
EE230B Prof. Greg Pottie
2
a) Error Probability for BPSK
For binary PSK,
s
1
(
t
)
=
E
φ
1
(
t
),
s
2
(
t
)
= −
E
φ
1
(
t
),
where
φ
1
(
t
)
=
2 /
T
cos(2
π
f
c
t
), 0
≤
t
≤
T
−
E
E
Signal space:
Error probability:
P
(
e
)
=
Q
2
E
N
0
⎛
⎝
⎜
⎞
⎠
⎟
dt
T
∫
φ
1
(
t
)
X
Modulator
Demodulator
X
φ
1
(
t
)
+1
-1
+1
-1

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