Two signals, mi(t) and m2(1) (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, m₁ (t) m₂ (t) (i) Transmitter (ii) If the spectrums of the two signals are given as below: IM₁(f)I (iii) 1 Channel b -10kHz cos(80,000ft) a 10kHz cos(40,000ft) LPF Receiver BW-10kHz AA IM₂(f)I -10kHz BW-10kHz What must the bandwidth of the channel be required for the system? LPF 10kHz m₁ (t) m₂ (t) Sketch the spectrum at point (a) and (b) of the receiver. (Label all magnitudes and frequencies of the axes.) Design a transmitter to multiplex the signal m(t) and m(t) for the receiver. (Show clearly all the details.)

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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,
m₁ (t)
m₂ (t)
(i)
Transmitter
(ii)
If the spectrums of the two signals are given as below:
IM₁(f)I
(iii)
1
Channel
0
b
-10kHz
cos(80,000nt)
AA
|M₂(f)l
10kHz
-10kHz
cos (40,000ft)
Receiver
LPF
BW=10kHz
BW=10kHz
10kHz
What must the bandwidth of the channel be required for the system?
LPF
m₁ (t)
m₂ (t)
Sketch the spectrum at point (a) and (b) of the receiver. (Label all magnitudes and frequencies of
the axes.)
Design a transmitter to multiplex the signal mi(t) and m(t) for the receiver. (Show clearly all the
details.)
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, m₁ (t) m₂ (t) (i) Transmitter (ii) If the spectrums of the two signals are given as below: IM₁(f)I (iii) 1 Channel 0 b -10kHz cos(80,000nt) AA |M₂(f)l 10kHz -10kHz cos (40,000ft) Receiver LPF BW=10kHz BW=10kHz 10kHz What must the bandwidth of the channel be required for the system? LPF m₁ (t) m₂ (t) Sketch the spectrum at point (a) and (b) of the receiver. (Label all magnitudes and frequencies of the axes.) Design a transmitter to multiplex the signal mi(t) and m(t) for the receiver. (Show clearly all the details.)
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