Design Of Maximally Selective Generalized Chebyshev Filters

Abstract

In this paper, a complete procedure is presented for the synthesis of a class of generalized Chebyshev filters with a maximum of four real transmission zeros of any multiplicity, having an equiripple characteristic in the passband and the stopband, and maximum selectivity. The frequencies of magnitude characteristic extreme values in the stopband are calculated in the closed form. The transmission zeros are obtained by solving a set of nonlinear equations. New formulas for orders of zeros of maximally selective filters are deduced, and these are very useful in the design procedure.

Maximally selective generalized Chebyshev filters with asymmetrically located transmission zeros

“…In this case, a symmetric frequency response means that transmission zeros are located on both sides of pass-band, while asymmetric response is for the case when transmission zeros are placed only on one side of pass-band. A procedure for the synthesis of generalized Chebyshev filters with a maximum of four real transmission zeros of any multiplicity is already known [1][2][3][4][5][6]. However, the considered filters are with symmetrically located transmission zeros, s i = ±j 0i .…”