One technique for building a dc power supply is to take an ac signal and full-wave recti...

One technique for building a dc power supply is to take an ac signal and full-wave rectify it. That is, we put the at signal x(t) through a system that produces y(t)= as its output.

(a) Sketch the input and output waveforms if x(t) = cos t. What are the fundamental periods of the input and output?

(b) If x(t) = cos t, determine the coefficients of the Fourier series for the output

(c) What is the amplitude of the de component of the input signal? What is the amplitude of the dc component of the output signal?