Passive butterworth filter design

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To design passive Butterworth filters, one must determine the L and C elements using the Butterworth polynomial, the desired cutoff frequency, and the load resistance. Continued fractions are not strictly necessary for this process, but they can simplify calculations in some cases. A recommended resource is Butterworth's original paper, which provides clear guidance on the topic. The discussion emphasizes the importance of understanding polynomial solutions in filter design. Overall, finding reliable resources and understanding the underlying mathematics are crucial for successful filter design.
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Hello,

I'm looking for a guide on the steps to design passive butterworth filters, specifically the steps on how to find the L and C passive elements using the butterworth polynomial, the cutoff frequency, and the terminating/load resistance. Is it necessary to use continued fractions? My 'textbook' is unclear and I can't seem to find any decent resource online.

Thanks
 
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You end up solving polynomials. Here's Butterworth's paper. It's pretty readable.

http://www.expertran.com/butter/paper.pdf
 
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