BasebandRectangularPulse

BasebandRectangularPulse defines a smoothed rectangular pulse with finite rise and fall times.

Formula

Let $\sigma = \mathrm{rise\_time} / 2.563$, $t_\mathrm{start} = \mathrm{offset}\,\mathrm{rise\_time}$, and $t_\mathrm{stop} = t_\mathrm{start} + \mathrm{twidth}$. The source is:

$s(t) = \frac{A}{2}\left[ \mathrm{erf}\left(\frac{t - t_\mathrm{start}}{\sqrt{2}\sigma}\right) - \mathrm{erf}\left(\frac{t - t_\mathrm{stop}}{\sqrt{2}\sigma}\right) \right]$

Parameters

rise_time: 10%-to-90% rise and fall time.

• Unit: s
• Constraint: greater than 0
• Required field

twidth: Duration of the flat-top region.

• Unit: s
• Constraint: greater than 0
• Required field

offset: Delay of the rising-edge center in units of rise_time.

• Constraint: greater than or equal to 2.5
• Default: 5

amplitude: Pulse amplitude.

• Default: 1

phase: Locked to 0 for baseband source times.