The Ramp component generates a continuous, real, ramp signal.

The boolean parameter Smooth corners selects whether the corners are smoothed, the smoothness parameter, which can be varied from 0 to 1, determine the smoothness. If smoothness is greater than 0, the output signal has a continuous derivative. The smoothing interval is equal to the smoothness factor times half the ramp time.

If Smooth corners is false, the output signal is

$y\=\mathrm{offset}\+\mathrm{height}\{\begin{array}{cc}0& t\le T_0\\ \frac{t-T_0}{T_r}& t\le T_0\+T_r\\ 1& \mathrm{otherwise}\end{array}$

If Smooth corners is true, it is

$y\=\mathrm{offset}\+\mathrm{height}\{\begin{array}{cc}0& t\le T_0\\ {\left(\frac{t-T_0}{T_r}\right)}^2\left(\frac{2}{S\left(2-S\right)}\right)& t\le T_0\+S\frac{T_r}{2}\\ \frac{1}{2}\+\left(\frac{t-T_0-\frac{T_r}{2}}{T_r}\right)\left(\frac{2}{2-S}\right)& t\le T_0\+T_r-S\frac{T_r}{2}\\ 1-{\left(\frac{t-T_0-T_r}{T_r}\right)}^2\left(\frac{2}{S\left(2-S\right)}\right)& t\le T_0\+T_r\\ 1& \mathrm{otherwise}\end{array}$

with

$S\=\min \left(1\,\max \left(0\,\mathrm{smoothness}\right)\right)\mathrm{and}t\=\mathrm{time}$