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Timeline for Filter: IIR Filter

Current License: CC BY-SA 4.0

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Nov 27, 2021 at 23:04 history edited robert bristow-johnson CC BY-SA 4.0
deleted 13 characters in body
Apr 14, 2020 at 12:11 vote accept ksi
Apr 14, 2020 at 12:11 comment added ksi Thanks a lot. got it now.
Apr 14, 2020 at 11:36 comment added Matt L. @ksi: Mind the normalization. The $a_1$ given at the end of my answer is not equal to $2(1-k^2)$ but it is $2(1-k^2)/(k^2+\sqrt{2}k+1)$. Check again Eq. $(3)$, where I've added another step (to normalize $a_0$ to $1$).
Apr 14, 2020 at 10:02 history edited Matt L. CC BY-SA 4.0
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Apr 13, 2020 at 16:22 comment added Matt L. @ksi: I've added a few steps to get you started.
Apr 13, 2020 at 16:21 history edited Matt L. CC BY-SA 4.0
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Apr 13, 2020 at 15:22 comment added Matt L. @ksi: That's exactly what I tried to explain in my answer. You'll have to sit down yourself and use the formulae I've shown you. Have you actually tried replacing $s$ in $H(s)$ by $k(z-1)/(z+1)$? Once you've done that you just need to replace the constant $k$ (and $k^2$) by the expressions given in my answer, and you'll arrive at exactly the same formulae for the filter coefficients as I did. If you really arrive at a different result, please add the steps to your question and we can try to figure out where you went wrong.
Apr 13, 2020 at 15:13 history edited Matt L. CC BY-SA 4.0
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Apr 13, 2020 at 14:24 comment added Matt L. @PeterK.: Oh yeah, for some reason I can never remember his name :)
Apr 13, 2020 at 14:21 comment added Peter K. That should be "robert bristow-johnson" :-) But I'll let it pass.
Apr 13, 2020 at 14:15 history edited Matt L. CC BY-SA 4.0
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Apr 13, 2020 at 14:01 history edited Matt L. CC BY-SA 4.0
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Apr 13, 2020 at 10:43 history answered Matt L. CC BY-SA 4.0