Question: A periodic waveform x (I) with period T = 4 is defined over one period by the equation
x(t) = e-t 0 ≤ t < 4
(a) Carefully sketch x(t).
(b) Determine the fundamental frequency. ω0, of x(t).
(c) Determine the Fourier series coefficients, , for the above waveform x(t). Give a general formula valid for any integer k.
(d) If x(t) is passed through an ideal LPF whose cutoff frequency is = 27π/3 rad/sec, determine the output signal. y(t).