3. In this problem, we want to determine the Fourier series of the steady state output y(t), of a Chebyshev filter H(s) shown below, to the input x(t). The input x(t) is a periodic rectangular pulse train with even symmetry. The pulses have no negative amplitude values. The pulses have duration 2 sec and amplitude 4 volts. The fundamental frequency of the periodic waveform is 0.2 Hz. The filter is described by the transfer function below. (10pts) H($)= 0.491 5 +0.988s +1.238s +0.491 a. Give the Fourier series of x(t) Give a precise equation for XK. b. Give an equation that describes precisely the steady state output y(t) of the system. C. Calculate a precise numerical value of the magnitude and phase of the DC component of the steady state output of the filter