EE102 Spring 200910
Lee
Systems and Signals
Homework #6
Problem Set Due: Tuesday May. 25 5PM
1.
Single Sideband (SSB) Communication
The double sideband (DSB) systems require a transmission bandwidth that is twice the sig
nal bandwidth. In this question we’ll look at a system where the transmission bandwidth
and signal bandwidth are the same.
The system is plotted below:
×
m
(
t
)
cos
(
ω
c
t
)
×
cos
(
ω
c
t
)
m
(
t
)
Propagation
Transmitter
Receiver
2
Ideal Bandpass
Ideal Lowpass
x
(
t
)
y
(
t
)
z
(
t
)
(a)
H
(
j
ω
)
The signal
m
(
t
)
is ﬁrst modulated by
cos(
ω
c
t
)
, and then passed through an ideal bandpass
ﬁlter. The spectrum of the input
M
(
jω
)
and the frequency response of the ideal bandpass
ﬁlter
H
(
jω
)
are

2
π
B
2
π
B
ω
2
π
B
ω
c

ω
c
ω

ω
c
ω
c
2
π
B
(b)
(c)
1
M
(
j
ω
)
H
(
j
ω
)
The modulated signal is
x
(
t
)
, and the output of the ideal bandpass is
y
(
t
)
. This signal is
transmitted, and processed by a synchronous receiver.
Sketch the signal spectrum at
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 Spring '09
 Levan
 Singlesideband modulation, Baseband, ideal bandpass

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