(Solved): a) Determine the exponential Fourier-series expansion of the periodic signal x(t) shown below. b) ...

a) Determine the exponential Fourier-series expansion of the periodic signal $$x(t)$$ shown below. b) Compute $$A_0,A_1,A_2$$, and $$A_3$$. c) Compute $$B_1,B_2$$ and $$B_3$$. d) If the signal is passed through an ideal BPF centered at $$f_0=250\mathrm{Hz}$$ with a bandwidth of $$64\mathrm{Hz}$$, determine the power of the frequency component(s) at the output of the filter. e) What percentage of the total signal power appears at the output of the BPF? Problem \# 2 a) Determine the trigonometric Fourier series representation for the following signal b) Consider an ideal lowpass filter whose frequency response is $$H(j?)=\{\begin{array}{lc}1,& ?1.5?<?<1.5?\\ 0,& \text{ otherwise }\end{array}$$ If the input to this filter is the above periodic signal $$x(t)$$, determine the output signal $$y(t)$$.