DocumentCode :
930332
Title :
On the pole locations of sharp cutoff low-pass filters
Author :
Roy, Suhash C Dutta
Author_Institution :
Indian Institute of Technology, New Delhi, India
Volume :
62
Issue :
4
fYear :
1974
fDate :
4/1/1974 12:00:00 AM
Firstpage :
520
Lastpage :
521
Abstract :
It is shown that the poles of sharp cutoff low-pass filters, Butterworth- or Chebyshev-derived, can be obtained analytically for orders 3, 4, 6, and 8, through the solution of quadratic, cubic, or quartic algebraic equations. For the Butterworth case, higher order filters having a value of 3, 4, 6, 8 for the ratio (order of filter)/(order of zero) are also shown to have analytical solutions for the poles. Explicit solutions for the Butterworth-derived filter are given for third and fourth orders.
Keywords :
Chebyshev approximation; Equations; Gold; Low pass filters; Polynomials; Reconnaissance; Shape; Signal resolution; Synthetic aperture radar; Transfer functions;
fLanguage :
English
Journal_Title :
Proceedings of the IEEE
Publisher :
ieee
ISSN :
0018-9219
Type :
jour
DOI :
10.1109/PROC.1974.9457
Filename :
1451387
Link To Document :
بازگشت