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?

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    $\begingroup$ 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-johnson Sep 12 '17 at 19:00
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    $\begingroup$ 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. Sep 12 '17 at 19:39
  • $\begingroup$ wew! "$\sigma(n)$" for the Heaviside step function? that's a little unconventional, no? $\endgroup$ – robert bristow-johnson Sep 13 '17 at 5:58
  • $\begingroup$ @robertbristow-johnson: Greek sigma for "S" for "step" ... variatio delectat. $\endgroup$ – Matt L. Sep 13 '17 at 6:20
  • $\begingroup$ @MattL. Could you, please, provide a reference for the equation (1) from the answer (equation for a(n))? $\endgroup$ – Nikolai Popov Sep 13 '17 at 9:40

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