Title :
Elliptic functions for filter design
Author :
Orchard, H.J. ; Willson, Alan N., Jr.
Author_Institution :
Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
fDate :
4/1/1997 12:00:00 AM
Abstract :
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
Keywords :
FORTRAN listings; Jacobian matrices; circuit CAD; elliptic filters; low-pass filters; ELLIPAP; Fortran program; Jacobian elliptic functions; Landen transformation; Matlab program; equal-ripple lowpass filters; filter design; Books; Chebyshev approximation; Design engineering; Digital filters; Equations; IIR filters; Jacobian matrices; Passband; Poles and zeros; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
