Assume that a DSB signal x c (t) A c m(t) cos (2f c t 0 ) is demodulated using the demodulation carrier 2 cos 2f c t (t) Determine, in general, the demodulated output y D (t) Let A c 1 and (t) 0 , where 0 is a constant, and determine the mean square error between m(t) and the demodulated output as a function of 0 and 0 Now let 0 2f 0 t and Compute the mean square error between m(t) and the demodulated output

Question: Assume that a DSB signal x c (t) = A c m(t) cos (2f c t + 0 ) is demodulated using the demodulation

Assume that a DSB signal

x_c (t) = A_cm(t) cos (2πf_ct + ϕ₀)

is demodulated using the demodulation carrier 2 cos [2πf_ct + θ(t)]. Determine, in general, the demodulated output y_D (t). Let A_c = 1 and θ(t) = θ₀, where θ₀is a constant, and determine the mean-square error between m(t) and the demodulated output as a function of ϕ₀ and θ₀. Now let θ₀ = 2πf₀t and Compute the mean-square error between m(t) and the demodulated output.

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