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The command
`gauss ( `
`<`*order*`>`
`) ;`

results in a filter with a Gaussian response. This response approximates
the ideal Gaussian transfer function, which is
*e*^{-(ω/ωc)2}
.
The higher the order of the filter, the better the approximation.
*ω*_{c}
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.
The -3
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.

2009-06-03