# Ramp Pulse

Define a ramp time pulse.

Time axis unit
Specify the unit to be used for the time axis.
Total signal duration ( ${s}_{\text{d}}$ )
The total length of the signal in the specified units.
Amplitude ( ${u}_{0}$ )
The amplitude of the time signal.
Pulse delay ( ${t}_{0}$ )
The pulse delay is the time until the peak of the time signal envelope.
Pulse width ( ${p}_{w}$ )
This is the half-amplitude pulse width of the signal. The pulse width is the total length of time that the signal is above 50% of its peak value ( ${u}_{0}$ ).
Rise time ( ${\tau }_{1}$ )
The time required for the pulse to reach its peak value ( ${u}_{0}$ ) from rest.
Fall time ( ${\tau }_{2}$ )
The time required for the pulse to reach the rest value from its peak ( ${u}_{0}$ ).
Note: The discharge time will be determined by the pulse width ( ${p}_{w}$ ).
Number of samples
The number of samples taken from the signal’s analytical equation.
(1)
(2) ${t}_{1}=-\frac{{p}_{w}+{\tau }_{1}}{2}\phantom{\rule{2em}{0ex}}{t}_{2}=-\frac{{p}_{w}-{\tau }_{1}}{2}\phantom{\rule{2em}{0ex}}{t}_{3}=\frac{{p}_{w}-{\tau }_{2}}{2}\phantom{\rule{2em}{0ex}}{t}_{4}=\frac{{p}_{w}+{\tau }_{2}}{2}$

The Fourier transform is as follows:

(3)