A modulated signal is generated using the circuit shown in fig (2.a). The transfer function of H;(f) filter is shown in fig (2.b). if m(t)= cos 2n(1000)t , then: i) Sketch directly the amplitude spectrum of M(f), X(f) and the output F.(f). ii) From the sketched F.(f) in (i), find a mathematical expression for the output f.(t). | H(D| x(t) fo(t) m(t) H;(f) --0.75- -0.25- 2cos2n(100×10³)t f (kHz) -101 A -99 A 99 101 A Fig.2.a -102 Fig 2.b 100 -98 98 100 102 K--- k--- <---*

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A modulated signal is generated using the circuit shown in fig (2.a). The transfer
function of H;(f) filter is shown in fig (2.b). if m(t)= cos 2n(1000)t ,
i) Sketch directly the amplitude spectrum of M(f), X(f) and the output F.(f).
ii) From the sketched F.(f) in (i), find a mathematical expression for the output fo(t).
then:
| H(1) |
m(t)
x(t)
fo(t)
H:(f)
--0.75!
-0.25-
2cos2n(100×10³)t
f (kHz)
-101 A -99
99
101
Fig.2.a
Fig 2.b
-102
100
-98
98
100
102
K---
Transcribed Image Text:A modulated signal is generated using the circuit shown in fig (2.a). The transfer function of H;(f) filter is shown in fig (2.b). if m(t)= cos 2n(1000)t , i) Sketch directly the amplitude spectrum of M(f), X(f) and the output F.(f). ii) From the sketched F.(f) in (i), find a mathematical expression for the output fo(t). then: | H(1) | m(t) x(t) fo(t) H:(f) --0.75! -0.25- 2cos2n(100×10³)t f (kHz) -101 A -99 99 101 Fig.2.a Fig 2.b -102 100 -98 98 100 102 K---
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