Up: Specify a transfer function
results in a filter with a Gaussian response. This response approximates
the ideal Gaussian transfer function, which is
The higher the order of the filter, the better the approximation.
is the cut-off frequency, which is initially 1rad/s. This type
of filter will approximately have a factor e
, or 8.7dB, damping at 1rad/s.
dB point is at 0.59rad/s. A Gaussian response is similar to a
Bessel response. It has a good phase linearity, but poor damping.