Ringing Trapezoid

The Ringing Trapezoid is a Damped Sinusoidal Waveform superimposed on a Trapezoidal Waveform.  The waveform has zero amplitude at time zero.  The amplitude increases from zero to its peak value in the time specified in the Rise Time text box.  The amplitude overshoots by an amount determined by the Damping value and rings out at the Sine Wave Frequency.  After time determined by Duty Cycle the amplitude decreases to zero in the time specified in the Fall Time text box.  Again the amplitude overshoots and rings out.

Pulse Peak Amplitude sets the peak amplitude of the trapezoidal portion of the waveform.

Frequency sets the waveform frequency.  One period of the waveform is displayed in the time domain graph.

Rise Time sets the transition time from zero amplitude to Pulse Peak Amplitude.  Rise time is linear.

Fall Time sets the transition time from Pulse Peak Amplitude to zero amplitude.  Fall time is linear.

Duty Cycle sets the percentage of time the trapezoidal portion of the waveform has amplitude greater than 50% Pulse Peak Amplitude.  Changing Duty Cycle changes Duration.

Duration sets the length of time from the end of the rise time to the start of the fall time.  Changing Duration changes Duty Cycle.

Sine Wave Frequency sets the frequency at which the overshoot rings.

Peak Amplitude sets the amount the waveform overshoots.

Damping sets how quickly the ringing decays.  Smaller Damping values correspond to more damping and quicker decay.  The value in the Damping text box is the time required for the Peak Amplitude to decay to 36.8% (1/e) of its value.

More:

Piecewise Linear Waveform