DocumentCode
1378804
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
Volume
44
Issue
4
fYear
1997
fDate
4/1/1997 12:00:00 AM
Firstpage
273
Lastpage
287
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;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.563618
Filename
563618
Link To Document