Title :
Direct determination of the coefficients of Chebyshev polynomials and other considerations
Author :
Báez-Lòpez, David J M ; Ramirez-Cortès, J. Manuel
Author_Institution :
Dept. de Ingenieria Electron., Univ. de las Americas, Puebla, Mexico
Abstract :
A closed-form expression to obtain the coefficients of a Chebyshev polynomial is presented. This result allows direct determination of the coefficients of Chebyshev polynomials without requiring further algebraic manipulations or using recursion formulas. For even order, a closed formula is given when the Chebyshev polynomial is modified in such a way that the resulting even order low pass magnitude characteristic has a passive ladder realization with equal terminating resistances
Keywords :
Chebyshev approximation; ladder networks; low-pass filters; network synthesis; passive filters; polynomials; closed-form expression; coefficients of Chebyshev polynomials; direct determination; equal terminating resistances; even order low pass magnitude characteristic; filter design; passive ladder realization; Approximation methods; Attenuation; Chebyshev approximation; Closed-form solution; Equations; Filtering theory; Low pass filters; Passband; Passive filters; Polynomials;
Conference_Titel :
Circuits and Systems, 1992., Proceedings of the 35th Midwest Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-0510-8
DOI :
10.1109/MWSCAS.1992.271362
