Assume that we are using QAM-system that are capable of sending two messages simultaneously at the same time on the channel.

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Assume that we are using QAM-system that are capable of sending two messages
simultaneously at the same time on the channel.
Given that the messages to be transmitted are:
x1(t) = cos 1000t
x2(t) = sin 1100t
And the local carrier signal:
S(t) = cos 10000t
Find the following:
a) Draw a block diagram to generate PQAM(t)
b) Draw a block diagram at the receiver side to regenerate the original messages.
c) Write down a mathematical equation for PQAM(t)
d) Show mathematically how the receiver can regenerate the original messages that
was sent by the sender (xl(t) and x2(t)).
e) By using Fourier transform, mathematically show the modulated signal that will
be transmitted over the channel.
f) By using Fourier transform, mathematically show how the receiver can regenerate
the original messages that was sent by the sender.
g) Draw the frequency spectrum for the modulating signals and the modulated signal
h) By using the idea of frequency spectrum show how the receiver can regenerate
the original messages that was sent by the sender.
Transcribed Image Text:Assume that we are using QAM-system that are capable of sending two messages simultaneously at the same time on the channel. Given that the messages to be transmitted are: x1(t) = cos 1000t x2(t) = sin 1100t And the local carrier signal: S(t) = cos 10000t Find the following: a) Draw a block diagram to generate PQAM(t) b) Draw a block diagram at the receiver side to regenerate the original messages. c) Write down a mathematical equation for PQAM(t) d) Show mathematically how the receiver can regenerate the original messages that was sent by the sender (xl(t) and x2(t)). e) By using Fourier transform, mathematically show the modulated signal that will be transmitted over the channel. f) By using Fourier transform, mathematically show how the receiver can regenerate the original messages that was sent by the sender. g) Draw the frequency spectrum for the modulating signals and the modulated signal h) By using the idea of frequency spectrum show how the receiver can regenerate the original messages that was sent by the sender.
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