4.2-6 Amplitude modulators and demodulators can also bebuiltwithout using multipliers. InFig. P4.2- 6, the input ø(t) = m(t), and the amplitude A » lØ(1)|. The two diodes are identical, with a resistance of r ohms in the conducting mode and infinite resistance in the cutoff mode. Show that the output e,(t) is given by eo(t): 2R - w(t) m(t) R+r where w(1) is the switching periodic signal shown in Fig. 2.20a with period 27/We seconds. (a) Hence, show that this circuit can be used as a DSB-SC modulator. (b) How would you use this circuit as a synchronous demodulator for DSB-SC signals. ) A cos w,I -Slope Eft) + R

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4.2-6 Amplitude modulators and demodulators can also bebuiltwithout using multipliers. InFig. P4.2-
6, the input ø(t) = m(t), and the amplitude A » |ø(?)|. The two diodes are identical, with a
resistance of r ohms in the conducting mode and infinite resistance in the cutoff mode. Show
that the output e,(t) is given by
elt) :
2R
w(t) m(t)
R+r
where w(t) is the switching periodic signal shown in Fig. 2.20a with period 27/We seconds.
(a) Hence, show that this circuit can be used as a DSB-SC modulator.
(b) How would you use this circuit as a synchronous demodulator for DSB-SC signals.
Figure P.4.2-6
A cos wI
-Slope -
+
elt)
O()
(a)
(b)
Transcribed Image Text:4.2-6 Amplitude modulators and demodulators can also bebuiltwithout using multipliers. InFig. P4.2- 6, the input ø(t) = m(t), and the amplitude A » |ø(?)|. The two diodes are identical, with a resistance of r ohms in the conducting mode and infinite resistance in the cutoff mode. Show that the output e,(t) is given by elt) : 2R w(t) m(t) R+r where w(t) is the switching periodic signal shown in Fig. 2.20a with period 27/We seconds. (a) Hence, show that this circuit can be used as a DSB-SC modulator. (b) How would you use this circuit as a synchronous demodulator for DSB-SC signals. Figure P.4.2-6 A cos wI -Slope - + elt) O() (a) (b)
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