Double Exponential
The Double Exponential defines a waveform whose rise and
fall change exponentially. The Double Exponential waveform has zero
amplitude at time zero, increases in amplitude exponentially starting at time
zero, and then decreases in amplitude exponentially. The rate at which the
waveform amplitude increases and decreases is determined by the values in the
Rise Time Constant text box and Fall Time Constant text box, respectively.
The Double Exponential waveform is defined over a set time
interval defined by the value in the Period text
box. The waveform can be defined as a series of pulses by specifying Pulses Per Period to be greater than 1, and Repetition Rate to be less than Period. The
time-domain waveform is displayed in the upper graph of the form.
The equation for the Double Exponential waveform is:
where
Y(t) = Waveform amplitude at time t
Y1 = Peak Amplitude
k = Inflection constant
a = Rise Time Constant
b = Fall Time Constant
More:
 Damped Sinusoid
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