onsider the signal x(t) = cos wot + sin2 wot, where wo 2n fo and fo = 1/Tp- Show that x(t) is periodic with fundamental period To. (a) (b) Determine the coefficients of the complex Fourier series...

Extracted text: onsider the signal x(t) = cos wot + sin2 wot, where wo 2n fo and fo = 1/Tp- Show that x(t) is periodic with fundamental period To. (a) (b) Determine the coefficients of the complex Fourier series expansion of x(t). Sketch and label the two-sided amplitude and phase spectra of x(t). (c) (d) If x(t) is passèd through an ideal lowpass filter with bandwidth 3 fo/2, zero delay, and unity gain, determine the filter's output signal y(t) and identify the type of distortion incurred, if any. Determine the power of x(t) and y(t) above. What is the percentage of power loss (if (e) any) in this case?