A periodic waveform x(t)with period T = 4 is defined over one period by the equation(a) Ca...

A periodic waveform x(t)with period T = 4 is defined over one period by the equation

(a) Carefully sketch x (t).

(b) Determine the fundamental frequency, ω0, of x(t)

(c) Determine the Fourier series coefficients, ak, 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 ωco = 2п/3 rad/sec, determine the output signal, y(t )