Non-iterative analytic techniques are presented which employ orthogonal polynomials in the design of linear phase non-recursive digital/filters. Pass band and stop band transformations are desired to approximate an ideal low pass digital filter. Also the economization of power series technique is employed to derive near optimum responses.
Get full access to this article
View all access options for this article.
References
1.
PapoulisA.‘Optimum filters with monotonic response’, Proc. IRE, pp 606–609, (March 1958).
2.
AttikiouzelJ.‘Computer aided design for frequency selective networks’, Ph.D. thesis, University of Newcastle upon Tyne, (1973).
3.
HillJ. J.‘A study of the sampled data filtering method’ Ph.D. thesis, University of Newcastle upon Tyne, (1971).
4.
McClellanJ. M.ParksT. W.RabinevL. R.‘A computer program for designing optimum FIR linear phase digital filters’I.E.E.E. Trans. Audio and Electrocoustics, AV-21, No. 6, pp 506–526, (December 1973).
5.
ParksT. W.McClellanJ. M.‘Chebyshev approximation for non-recursive digital filters with linear phase’I.E.E.E. Trans. Circuit Theory, CT-19, pp 189–194, (March 1972).
6.
ScanlanS. O.RhodesJ. D.‘Microwave networks with constant delay’I.E.E.E. Trans. on Circuit Theory, CT-14, No. 3, pp 290–297, (September 1967).
7.
HerrmannO.‘Design of non-recursive filters with linear phase’Electronics Letters, 6, No. 22, pp 328–329, (May 1970).
8.
AbramowitzM.StegunI. A.Handbook of Mathematical FunctionsDover Publication, (1970).
9.
SzegoG.Orthogonal PolynomialsAmerican Methematical Society Publication, (1959).
10.
HildebrandF. B.Introduction to Numerical AnalysisMcGraw Hill, New York, (1956).
11.
HoltA. G. J.AttikiouzelJ.‘Gaussian filter approximation’Electronics Letters, 10, No. 5, pp 54–55, March (1974).
