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Elliptic functions for filter design

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2 Author(s)
Orchard, H.J. ; Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA ; Willson, A.N., Jr.

This paper offers a simple description of the elementary properties of the Jacobian elliptic functions and of the Landen transformation, which connects them with the circular and hyperbolic functions and thereby provides one of the most accurate methods of evaluating elliptic functions. The use of elliptic functions in creating equal-ripple lowpass filters is explained and their numerical evaluation is illustrated by means of an example. A Fortran program for effecting the design is included and a faster and more accurate replacement for the Matlab program ELLIPAP is given

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:44 ,  Issue: 4 )