Alow-pass filter (lpf) is represented by an lti system with transfer function: 100 (s + 2)2+100 h(s)- the input of this filter is a periodic signal x(t) with period t = 2s and fourier series coefficients crk-1 sinc a) compute the fourier series coefficients cy [k] of the output y(t). b) using matlab, plot the magnitudes of the harmonic functions |c[k]l and lcy [k]l for k- (use the 'subplot' and 'stem' commands to plot both functions in the same figure). use parseval's theorem to compute the average power ß, of the output signal y(t). you may compute this value numerically using matlab.