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1
FSK Receiver
Suppose that the transmitted signal is sin(2
π
f
1
t
). Assuming that pulse duration=
τ
.
Then without noise
z
1
=
∫
sin
2
(2
π
f
1
t
)
dt
= 0.5
z
2
=
∫
sin (2
π
f
1
t
) sin(2
f
2
t
)
dt
= 0.5
∫
(cos(2
π(
f
1

f
2
)
t
)+cos(2
f
1
+f
2
)
t
))
dt
≈
0
Question: (1) What are
z
1
and
z
2
with noise?
(2) Devise a technique to make the optimal decision.
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 Fall '08
 PingLi

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