3.11 The message signal m(t) has the Fourier transform shown in Figure P-3.11(a). This signal is applied to the system shown in Figure P-3.11(b) to generate the signal y(t). 1. Plot Y(f), the Fourier transform of y(t). 2. Show that if y(1) is transmitted, the receiver can pass it through a replica of the system shown in Figure P-3.11(b) to obtain m(t) back. This means that this system can be used as a simple scrambler to enhance communication privacy.

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3.11 The message signal m(t) has the Fourier transform shown in Figure P-3.11(a). This
signal is applied to the system shown in Figure P-3.11(b) to generate the signal y(t).
1. Plot Y(f), the Fourier transform of y(t).
2. Show that if y(1) is transmitted, the receiver can pass it through a replica of
the system shown in Figure P-3.11(b) to obtain m(t) back. This means that this
system can be used as a simple scrambler to enhance communication privacy.
M(f)
-W
+W
(a)
m(t)
HPF
LPF
|-W, w]
y(1)
fautott = fe
A cos 2nft
A cos21(f. + W)t
(b)
Figure P-3.11
1. If the message signal in Problem 3.11 is replaced with the signal in Figure 1, or the signal
Figure 2. Answer the questions in parts 1 and 2 of the problem.
M(f) LA
M(f)
w f+
-W
Figure 1
Figure 2
Transcribed Image Text:3.11 The message signal m(t) has the Fourier transform shown in Figure P-3.11(a). This signal is applied to the system shown in Figure P-3.11(b) to generate the signal y(t). 1. Plot Y(f), the Fourier transform of y(t). 2. Show that if y(1) is transmitted, the receiver can pass it through a replica of the system shown in Figure P-3.11(b) to obtain m(t) back. This means that this system can be used as a simple scrambler to enhance communication privacy. M(f) -W +W (a) m(t) HPF LPF |-W, w] y(1) fautott = fe A cos 2nft A cos21(f. + W)t (b) Figure P-3.11 1. If the message signal in Problem 3.11 is replaced with the signal in Figure 1, or the signal Figure 2. Answer the questions in parts 1 and 2 of the problem. M(f) LA M(f) w f+ -W Figure 1 Figure 2
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