Is there any IIR notch filter design algorithm, strategy or rule of thumb, that provides control for amount of overshoot/undershoot in step response of a filter?
$\begingroup$
$\endgroup$
8
-
2$\begingroup$ if the notch is 2nd-order, a biquad, i am sure that someone somewhere has worked out explicit closed-form expressions of the impulse response and the step response. from that you can derive overshoot. $\endgroup$– robert bristow-johnsonCommented Sep 12, 2017 at 19:00
-
2$\begingroup$ Here are some formulas for a biquad filter. I don't know of any design algorithm that imposes limits on overshoot/undershoot for the IIR case. You would need a non-linear optimization algorithm and you would have to deal with the problem of locally (but not globally) optimal solutions. $\endgroup$– Matt L.Commented Sep 12, 2017 at 19:39
-
$\begingroup$ wew! "$\sigma(n)$" for the Heaviside step function? that's a little unconventional, no? $\endgroup$– robert bristow-johnsonCommented Sep 13, 2017 at 5:58
-
$\begingroup$ @robertbristow-johnson: Greek sigma for "S" for "step" ... variatio delectat. $\endgroup$– Matt L.Commented Sep 13, 2017 at 6:20
-
$\begingroup$ @MattL. Could you, please, provide a reference for the equation (1) from the answer (equation for a(n))? $\endgroup$– Nikolai PopovCommented Sep 13, 2017 at 9:40
|
Show 3 more comments