The synthesis of Chebyshev broad-band impedance-matching ladder networks

Author

Chen, Wai-Kai ; Zha, Qiang-Zhong

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Illinois Univ., Chicago, IL, USA

fYear

1989

fDate

14-16 Aug 1989

Firstpage

1034

Abstract

It is shown that the most practical RLC load can be optimally matched to a resistive generator over a finite frequency band by a Chebyshev ladder equalizer. The results are surprisingly simple. There is only the need to solve a cubic equation. The significance of these results is that the use of the Darlington type-C section for the lowpass equalizer and the Darlington type-E section for the bandpass equalizer is avoided, and the need of solving the nonlinear equations or using the design curves is circumvented, thereby reducing the design to simple arithmetic

Keywords

Chebyshev approximation; equalisers; impedance matching; ladder networks; linear network synthesis; lumped parameter networks; passive networks; Chebyshev ladder equalizer; RLC load; bandpass equalizer; broadband type; cubic equation; finite frequency band; impedance-matching; ladder networks; lowpass equalizer; resistive generator; Chebyshev approximation; Equalizers; Equations; Filtering theory; Frequency; H infinity control; Impedance; Network synthesis; Reflection; Transducers;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on

Conference_Location

Champaign, IL

Type

conf

DOI

10.1109/MWSCAS.1989.102030

Filename

102030