Question 5.16: Find the peak, peak-to-peak, and average values of the perio......

The input waveform is a sinusoid whose amplitude descriptors are

V_pp = 2V_A          V_p = V_A          V_avg = 0

The output waveform is obtained by clipping off the negative half-cycle of the input sinusoid. The amplitude descriptors of the output waveform are

V_pp = V_p = V_A

The output has a nonzero average value, since there is a net positive area under the waveform. The upper limit in Eq. (5–30) can be taken as T₀/2, since the waveform is zero from T₀/2 to T₀.

V_{avg} = \frac{1}{T} \int_{t}^{t + T}{υ(x)dx}                (5–30)

V_{avg} = \frac{1}{T_{0}} \int_{0}^{T_{0}/2}{V_{A} \sin(2πt/T_{0})dt = \frac{V_{A}}{2π}} \cos(2πt/T_{0}) |^{T_{0}/2}_{0}

= \frac{V_{A}}{π}

The signal processor produces an output with a dc value from an input with no dc component. Rectifying circuits described in electronics courses produce waveforms like the output in Figure 5–40.