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Full-Wave Rectifier

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Consider the full-wave rectified signal

y(t) = | sin(PI t) | - Infinity < t < Infinity .

(a) As a periodic signal, y(t) does not have finite energy, but it has a finite power Py. Find it.

(b) It is always useful to get a quick estimate of the power of a periodic signal by finding a bound for the signal squared. Find a bound for |y(t)|^2 and show that Py < 1.

(c) Use symbolic MATLAB to check if the full-wave rectified signal has finite power and if that value coincides with the Py you found above. Plot the signal and provide the script for the computation of the power. How does it coincide with the analytical results?

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