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The input voltage could be a triangle wave, sawtooth wave, or any other sort of wave that ramped smoothly from positive to negative to positive again. This sort of comparator circuit is very useful for creating square waves of varying duty cycle.

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Nov 05, 2013 · Mathematically, differentiation simply mean finding a slope of a curve. Here, the slope of the curve [=(y2-y1)/(x2-x1) = dv/dt] so when the voltage of the square wave ...

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For example, 1 V applied across a 1 Ω resistor produces 1 W of heat. A 1 V rms triangle wave applied across a 1 Ω resistor also produces 1 W of heat. That 1 V rms triangle wave has a peak voltage of √3 V (≈1.732 V), and a peak-to-peak voltage of 2√3 V (≈3.464 V).

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Differentiation members couple the resonance circuit to a load so that, as a result of matched differentiation of the steep leading edge of each sawtooth of the wave, a pulse, having a pulse width corresponding approximately to the pulse time of the leading edge, acts on the load.

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A sawtooth wave is the simplest, as it uses the formula 1/h (where "h" indicates the number of the harmonic) to compute the amplitudes. Therefore, the amplitude of the first harmonic is 1/1 = 1, the second is 1/2 = 0.5, the third is 1/3 = 0.33333, etc etc. Here is a message to compute a very rudimentary sawtooth wave using only four harmonics: