3. a) Consider a single tone message signal m(t) = Am cos (2πfmt) 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 where fc = 3 MHz. g(t)=5cos(2лft) + 2m(t) cos (2πft), i) Find the modulation index u. (Ans: 0.6) ii) Calculate the power efficiency n of the modulated signal g(t) in percentage. (Ans: 15.25 %) η b) An angle modulator outputs the signal given by πT g(t) = 2 cos (2πfet + a(t)). The bandwidth of a(t) is B = 5 kHz, and it is measured that a(t)|≤ 1600. i) ii) Find the maximum frequency deviation of the modulated signal. (Ans: 200Hz) Find the effective bandwidth using Carson's rule. (Ans: 10.4 kHz)

a) Consider a single tone message signal �(�)=�����(2����) where ��=30�� is the message frequency and ��=1.5 is the message amplitude. A full-AM signal modulated by this message is given by �(�)=5���(2����)+2�(�)���(2����) where ��=3���. i) Find the modulation index �. (Ans: 0.6 ) ii) Calculate the power efficiency � of the modulated signal �(�) in percentage. (Ans: 15.25% ) b) An angle modulator outputs the signal given by �(�)=2���(2����+�4�(�)) The bandwidth of �(�) is �=5���, and it is measured that |����(�)|≤1600. i) Find the maximum frequency deviation of the modulated signal. (Ans: 200 Hz ) ii) Find the effective bandwidth using Carson's rule. (Ans: 10.4 kHz )