13) The transmitted band-pass signal s(t) and the two low-pass signals g(t) and h(t) are related as follows: s(t) = g(t) cos(2у¿t) + h(t) sin(2πft), where fε is the carrier frequency. Note that the bandwidth of g(t) and h(t) each is W <<< fc. (a) Determine S(f), the Fourier transform of s(t), in terms of the G(f) and H (f), the Fourier transforms of g(t) and h(t). (b) Draw accurately a block diagram to be used at the receiver through which both signals g(t) and h(t) can be retrieved from s(t). (c) Provide all relevant details and equations to show how your block diagram can function.

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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13)
The transmitted band-pass signal s(t) and the two low-pass signals g(t) and h(t) are related as follows:
s(t) = g(t) cos(2у¿t) + h(t) sin(2πft), where fε is the carrier frequency. Note that the bandwidth of g(t)
and h(t) each is W <<< fc.
(a) Determine S(f), the Fourier transform of s(t), in terms of the G(f) and H (f), the Fourier transforms of
g(t) and h(t).
(b) Draw accurately a block diagram to be used at the receiver through which both signals g(t) and h(t) can
be retrieved from s(t).
(c) Provide all relevant details and equations to show how your block diagram can function.
Transcribed Image Text:13) The transmitted band-pass signal s(t) and the two low-pass signals g(t) and h(t) are related as follows: s(t) = g(t) cos(2у¿t) + h(t) sin(2πft), where fε is the carrier frequency. Note that the bandwidth of g(t) and h(t) each is W <<< fc. (a) Determine S(f), the Fourier transform of s(t), in terms of the G(f) and H (f), the Fourier transforms of g(t) and h(t). (b) Draw accurately a block diagram to be used at the receiver through which both signals g(t) and h(t) can be retrieved from s(t). (c) Provide all relevant details and equations to show how your block diagram can function.
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