A Filter Has The Following Differential Equation Day Dy 3 4 2y X T Dt Dt2 The Input X T Is The Following X T 1 (42.76 KiB) Viewed 41 times
A filter has the following differential equation. day dy 3 +4 + 2y = x(t) dt = dt2 The input x(t) is the following: x(t) = 3 cos(0.5t +30°) + 4 cos (2t - 40°) a) Determine the Fourier Transform X(w) of the input. b) Determine the transfer function H(W) = Y(W)/XW)
c) Determine the Fourier Transform Y(W) d) Determine the steady-state waveform y(t) in the form y(t) = A cos(0.5t +Pa) + B cos(2t + b)
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