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Ultraspherical rational filters

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3 Author(s)

A set of rational functions based on ultraspherical polynomials is developed and used to approximate the ideal amplitude response of a low-pass filter, including by conjecture the elliptic filter as a special case. The procedure described for obtaining the elliptic filter avoids the necessity of computing the modulus of the elliptic functions, and requires no knowledge of elliptic function theory.

Published in:
Circuit Theory, IEEE Transactions on  (Volume:20 ,  Issue: 5 )

Date of Publication: Sep 1973

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