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GATE EC 2018 Set 1 — Question 37

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MCQ+2 / -0.67MediumAM Modulation & DemodulationAnalog CommunicationsCommunications

Communications → Analog Communications → AM Modulation & Demodulation

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Question

Let c(t)=Accos⁡(2πfct)c(t) = A_c \cos(2\pi f_c t) and m(t)=cos⁡(2πfmt)m(t) = \cos(2\pi f_m t). It is given that fc≫5fmf_c \gg 5 f_m. The signal c(t)+m(t)c(t) + m(t) is applied to the input of a non-linear device, whose output vo(t)v_o(t) is related to the input vi(t)v_i(t) as vo(t)=avi(t)+bvi2(t)v_o(t) = a v_i(t) + b v_i^2(t), where aa and bb are positive constants. The output of the non-linear device is passed through an ideal band-pass filter with center frequency fcf_c and bandwidth 3fm3 f_m, to produce an amplitude modulated (AM) wave. If it is desired to have the sideband power of the AM wave to be half of the carrier power, then a/ba/b is
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