A scramble is a device that changes some of the signal's characteristics (e.g., frequency com- ponents) to make the received signal unintelligible if the receiver does not have the appropriate equipment to descramble the signal. Consider a signal m(t), which is band-limited to 10 kHz, is modulated using a DSB-SC system with a carrier frequency of 20 kHz, then it is passed through a lowpass filter with a bandwidth of 10 kHz as shown below. m(t)- LPF y(t) ) cos(2¬fet) 3 (a) Find and sketch the spectrum of the scrambled signal y(1) at the output of the scrambler. (b) Design a block diagram for descrambling the signal to obtain m(t).

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A scramble is a device that changes some of the signal's characteristics (e.g., frequency com-
ponents) to make the received signal unintelligible if the receiver does not have the appropriate
equipment to descramble the signal.
Consider a signal m(t), which is band-limited to 10 kHz, is modulated using a DSB-SC system
with a carrier frequency of 20 kHz, then it is passed through a lowpass filter with a bandwidth of
10 kHz as shown below.
m(t)-
LPF
y(t)
~ cos(27 fet)
3
(a) Find and sketch the spectrum of the scrambled signal y(t) at the output of the scrambler.
(b) Design a block diagram for descrambling the signal to obtain m(t).
Transcribed Image Text:A scramble is a device that changes some of the signal's characteristics (e.g., frequency com- ponents) to make the received signal unintelligible if the receiver does not have the appropriate equipment to descramble the signal. Consider a signal m(t), which is band-limited to 10 kHz, is modulated using a DSB-SC system with a carrier frequency of 20 kHz, then it is passed through a lowpass filter with a bandwidth of 10 kHz as shown below. m(t)- LPF y(t) ~ cos(27 fet) 3 (a) Find and sketch the spectrum of the scrambled signal y(t) at the output of the scrambler. (b) Design a block diagram for descrambling the signal to obtain m(t).
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