An AM signal sm(t) is given by: Sm (t) = [A + s(t)] cos(2nfet + 0). This AM signal is applied to both Figures (a) and (b) as shown below. The maximum frequency of s(t) if fm which is also the cutoff frequency of the lowpass filter. Show that the two systems yield the same output. Also, comment on whether the two lowpass filters in the in Figure (b) can be replaced by a single filter either following or preventing the square root operation. Sm(t) Sm(t) Sm(t) cos (2πfct + 0) cos (2πfct) sin (2πrfet) Lowpass Filter Fig (a) Lowpass Filter Lowpass Filter Fig (b). Square Square Σ Square Root

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An AM signal sm(t) is given by: Sm (t) = [A + s(t)] cos(2πfet + 0). This AM signal is applied to both Figures (a) and
(b) as shown below. The maximum frequency of s(t) if fm which is also the cutoff frequency of the lowpass filter. Show
that the two systems yield the same output. Also, comment on whether the two lowpass filters in the in Figure (b) can be
replaced by a single filter either following or preventing the square root operation.
Sm(t)
Sm(t)
Sm(t)
cos (2πfct + 0)
cos (2πfct)
sin (2πrfet)
Lowpass
Filter
Fig (a)
Lowpass
Filter
Lowpass
Filter
Fig (b).
Square
Square
Σ
Square Root
Transcribed Image Text:An AM signal sm(t) is given by: Sm (t) = [A + s(t)] cos(2πfet + 0). This AM signal is applied to both Figures (a) and (b) as shown below. The maximum frequency of s(t) if fm which is also the cutoff frequency of the lowpass filter. Show that the two systems yield the same output. Also, comment on whether the two lowpass filters in the in Figure (b) can be replaced by a single filter either following or preventing the square root operation. Sm(t) Sm(t) Sm(t) cos (2πfct + 0) cos (2πfct) sin (2πrfet) Lowpass Filter Fig (a) Lowpass Filter Lowpass Filter Fig (b). Square Square Σ Square Root
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