EC > GATE 2023 > Frequency Modulation
Let a frequency modulated (FM) signal
x(t) = A cos(ωct + kf ∫t-∞m(λ)dλ) where m(t) is a message signal of bandwidth W. It is passed through a non-linear system with output y(t) = 2x(t) + 5(x(t))2. Let BT denote the FM bandwidth. The minimum value of ωc required to recover x(t) from y(t) is
x(t) = A cos(ωct + kf ∫t-∞m(λ)dλ) where m(t) is a message signal of bandwidth W. It is passed through a non-linear system with output y(t) = 2x(t) + 5(x(t))2. Let BT denote the FM bandwidth. The minimum value of ωc required to recover x(t) from y(t) is
Correct : c
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