3.7 The AM signal s(t) = Ac[1+kam(t)] cos(2nfct) is applied to the system shown in Figure P3.7. Assuming that |kam(t) < 1 for all t and the message signal m(t) is limited to the interval -W≤f≤ W, and that the carrier frequency fr > 2W, show that m(t) can be obtained from the square-rooter output U3(t). s(t) Squarer v1(t) Low-pass 12(t) Square- filter ra(t) rooter V₁ (t) = 5² (t) 13(1)=√√12 (1) Figure P3.7

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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3.7 The AM signal
s(t) = Ac[1+kam(t)] cos(2nfct)
is applied to the system shown in Figure P3.7. Assuming that
|kam(t) < 1 for all t and the message signal m(t) is limited to the
interval -W≤f≤ W, and that the carrier frequency fr > 2W,
show that m(t) can be obtained from the square-rooter output U3(t).
s(t)
Squarer
v1(t) Low-pass
12(t)
Square-
filter
ra(t)
rooter
V₁ (t) = 5² (t)
13(1)=√√12 (1)
Figure P3.7
Transcribed Image Text:3.7 The AM signal s(t) = Ac[1+kam(t)] cos(2nfct) is applied to the system shown in Figure P3.7. Assuming that |kam(t) < 1 for all t and the message signal m(t) is limited to the interval -W≤f≤ W, and that the carrier frequency fr > 2W, show that m(t) can be obtained from the square-rooter output U3(t). s(t) Squarer v1(t) Low-pass 12(t) Square- filter ra(t) rooter V₁ (t) = 5² (t) 13(1)=√√12 (1) Figure P3.7
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