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[MUG] filter transformations -- basic algebraic manipulations
| [MUG] filter transformations -- basic algebraic manipulations |
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Author: Ben Nevile
Posted: Mon, 28 Oct 2002 18:24:36 -0800
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>> From: ben nevile "bbn"
Hello- I apologize in advance for the banality of this question, but
I've searched through the on-line documentation for several hours and
not found the answer I am looking for. If this is not the appropriate
forum for this kind of question I'd appreciate being pointed in the
right direction.
My task is to transform an elliptic normalized transfer function into a
bandstop digital filter. basically I have a huge mess of algebra and I
want to extract the coefficients of the manipulated equation (in (a0 +
a1z + a2 z^2 + ....)/(b0 + b1 z + b2 z^2 + ...) form) in symbolic
form. I've only recently started using Maple inside of Matlab and so
am pretty clueless: any help you can provide is really appreciated.
thanks.
Ben
--
http://saoul.ca
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| [MUG] Re: filter transformations -- basic algebraic manipulations |
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Author: Maple User Group
Posted: Fri, 1 Nov 2002 10:15:50 -0500 (
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>> From: Maple User Group "maple_gr"
| >> From: ben nevile "bbn"
| I have a huge mess of algebra and I
| want to extract the coefficients of the manipulated equation (in (a0 +
| a1z + a2 z^2 + ....)/(b0 + b1 z + b2 z^2 + ...) form) in symbolic
| form.
-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-
Date: Tue, 29 Oct 2002 14:29:56 -0800
To: "maple-list"
From: David Harrington "dharr"
Subject: filter transformations -- basic algebraic
simplify usually brings it to this form, e.g,
Q:=1/(3*z+R/(z+S*z));
1
Q := -------------
R
3 z + -------
z + S z
> Q2:=simplify(Q);
z (1 + S)
Q2 := -----------------
2 2
3 z + 3 z S + R
Then you can extract the coefficients something like this
> coeffs(denom(Q2),z);
> coeffs(numer(Q2),z);
> coeff(denom(Q2),z^2);
R, 3 + 3 S
1 + S
3 + 3 S
-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-
From: "Daniel Willard" "willardd"
To: "maple-list"
Subject: filter transformations -- basic algebraic manipulations
Date: Wed, 30 Oct 2002 10:03:19 -0500
In Abramowitz and Stegun "Handbook of Mathematical Functions" (Published by
the National Institute for Science and Technology - ex NBS) you will find
formulas for the ratio (and other functions) of two series or polynomials.
They are all in a big box.
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