Procedure for the generation of equiripple functions

Abstract
Equiripple polynomials and rational functions find extensive use in the design of filters. An nth-order equiripple polynomial is obtained by the expansion of the function cos (n cos−1 ω). Equiripple rational functions with specified poles can be obtained using either the method of Darlington or that of Sharpe. In the letter, a different procedure is given that can be used to generate either equiripple polynomials or rational functions with specified poles and equiripple magnitude.

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