# BasebandStep

BasebandStep defines a smooth baseband step function with no carrier modulation.

BasebandStep time and frequency response

# Formula

Let σ=rise_time/2.563\sigma = \mathrm{rise\_time} / 2.563 and tc=offsetrise_timet_c = \mathrm{offset}\,\mathrm{rise\_time}. The source is:

s(t)=A2[1+erf(ttc2σ)] s(t) = \frac{A}{2}\left[ 1 + \mathrm{erf}\left(\frac{t - t_c}{\sqrt{2}\sigma}\right) \right]

The signal ramps from zero to amplitude and contains strong low-frequency content.

# Parameters

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

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

offset: Delay of the step center in units of rise_time.

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

amplitude: Final step amplitude.

  • Default: 1

phase: Locked to 0 for baseband source times.