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Math Help - [SOLVED] Avoiding elliptic sine/cosine/etc

  1. #1
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    [SOLVED] Avoiding elliptic sine/cosine/etc

    Hello,

    I'd like to know if there is a possibility to avoid elliptic functions. My direct and practical case involves trying to find the poles and zeroes of a Cauer (elliptic) filter with the aid of a spice simulator. There are some mathematical formulae to work with but, unfortunately, they are limited; I am talking about LTspice.
    So, I was wondering if there isn't a possibility to use something like Taylor series that would permit me to use some spice directives with more "gentle" formulae and calculate the poles and zeroes "on the spot"?

    Thank you in advance,
    Vlad.
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  2. #2
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    ...nothing?

    (This isn't a homework or anything like that. It's about an "universal filter" I'm trying to make.)
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  3. #3
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    A simple yes or no will do, if all else, but I remember seing somewhere (and I keep looking for that, but luck isn't on my side) a series, something like:
    u+2u^2+15*u^xxx+...
    where u was function of k, from here on there were some approximations, etc (Pade?).
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