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Pulse Modulated

The Pulse Modulated waveform has zero amplitude at time zero and then increases in amplitude sinusoidally to its unmodulated value.  After a time determined by the value in the Duty Cycle text box, the amplitude decreases instantaneously to an amplitude determined by the value in the Depth text box. One cycle of the waveform is displayed in the upper graph of the Source form.

The amplitude of the modulated sine wave is:

The amplitude of the unmodulated sine wave is:

where

Y(t) = Waveform amplitude at time t

Y1 = Peak Amplitude sets the peak unmodulated amplitude of the sine wave.

w = angular frequency = 2pf

f = Sine Wave Frequency sets the frequency of the modulated sine wave.

d = Depth sets the amplitude of the modulated sine wave.

Frequency set the modulation frequency.  The period shown in the time domain graph is one period, the reciprocal of Frequency.

Duty Cycle sets the percentage time the sine wave is unmodulated, i.e. the time the sine wave has full amplitude.

 

 

More:

Ringing Trapezoid

 

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