3. a) Consider a single tone message signal m(t) = Am cos(2nfmt) where fm = 30 Hz is the message frequency and Am 1.5 is the message amplitude. A full-AM signal modulated by this message is given by g(t) = 5cos(2nfet) + 2m(t) cos(2πfet), where fe = 3 MHz. i) ii) Find the modulation index u. Calculate the power efficiency n of the modulated signal g(t) in percentage. b) An angle modulator outputs the signal given by g(t) = 2 cos 2nfet + +7=7a(t)).

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I’m struggling with question 3 a b
3. a) Consider a single tone message signal m(t) = Am cos(2nfmt) where
fm = 30 Hz is the message frequency and Am 1.5 is the message amplitude.
1
A full-AM signal modulated by this message is given by
g(t) = 5cos(2nfet) + 2m(t) cos(2πfet),
where f = 3 MHz.
i)
ii)
Find the modulation index μ.
Calculate the power efficiency n of the modulated signal g(t) in
percentage.
b) An angle modulator outputs the signal given by
=
g(t) = 2 cos 2πfet +
+7=7 a(t)).
The bandwidth of a(t) is B = 5 kHz, and it is measured that a(t)| ≤ 1600.
i)
Find the maximum frequency deviation of the modulated signal.
ii) Find the effective bandwidth using Carson's rule.
Transcribed Image Text:3. a) Consider a single tone message signal m(t) = Am cos(2nfmt) where fm = 30 Hz is the message frequency and Am 1.5 is the message amplitude. 1 A full-AM signal modulated by this message is given by g(t) = 5cos(2nfet) + 2m(t) cos(2πfet), where f = 3 MHz. i) ii) Find the modulation index μ. Calculate the power efficiency n of the modulated signal g(t) in percentage. b) An angle modulator outputs the signal given by = g(t) = 2 cos 2πfet + +7=7 a(t)). The bandwidth of a(t) is B = 5 kHz, and it is measured that a(t)| ≤ 1600. i) Find the maximum frequency deviation of the modulated signal. ii) Find the effective bandwidth using Carson's rule.
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