Two signals, m₁(t) and m₂(t) (both band-limited to 10,000 Hz) are to be transmitted simultaneously over a channel using a custom frequency division multiplexing scheme. The multiplexing system is shown as below,

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(i) Sketch the spectrum at point (a) and (b) of the receiver. (Label all magnitudes and frequencies of
the axes.)

(ii) What must the bandwidth of the channel be required for the system?

(iii) Design a transmitter to multiplex the signal m1(t) and m2(t) for the receiver. (Show all the details.) 

Two signals, mi(t) and m₂(t) (both band-limited to 10,000 Hz) are to be transmitted simultaneously over a
channel using a custom frequency division multiplexing scheme. The multiplexing system is shown as below,
m₂ (t)
m₂ (t)
Transmitter
1
IM₁ (f)I
If the spectrums of the two signals are given as below:
0
Channel
-10kHz
b
0
cos(80,000πt)
10kHz
1
|M₂ (f)I
a
0
-10kHz
cos(40,000πt)
Receiver
0
LPF
BW=10kHz
10kHz
LPF
BW=10kHz
m₂ (t)
m₂ (t)
Transcribed Image Text:Two signals, mi(t) and m₂(t) (both band-limited to 10,000 Hz) are to be transmitted simultaneously over a channel using a custom frequency division multiplexing scheme. The multiplexing system is shown as below, m₂ (t) m₂ (t) Transmitter 1 IM₁ (f)I If the spectrums of the two signals are given as below: 0 Channel -10kHz b 0 cos(80,000πt) 10kHz 1 |M₂ (f)I a 0 -10kHz cos(40,000πt) Receiver 0 LPF BW=10kHz 10kHz LPF BW=10kHz m₂ (t) m₂ (t)
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