# BasebandGaussianPulse

BasebandGaussianPulse defines an unmodulated Gaussian envelope centered at zero frequency.

BasebandGaussianPulse time and frequency response

# Formula

Let tc=offsettwidtht_c = \mathrm{offset}\,\mathrm{twidth}. The source is:

s(t)=Aexp[(ttc)22twidth2] s(t) = A \exp\left[-\frac{(t - t_c)^2}{2\,\mathrm{twidth}^2}\right]

The equivalent frequency-domain standard deviation is:

fwidth=12πtwidth f_\mathrm{width} = \frac{1}{2\pi\,\mathrm{twidth}}

# Parameters

twidth: Temporal standard deviation of the Gaussian pulse.

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

offset: Delay of the pulse peak in units of twidth.

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

amplitude: Pulse amplitude.

  • Default: 1

phase: Locked to 0 for baseband source times.