Error bound for the approximate Fourier transformation relationship for nonuniform transmission lines

Author

Finkler, Roland ; Unbehauen, Rolf

Author_Institution

Lehrstuhl fur Allgemeine und Theor. Elektrotech., Erlangen-Nurnberg Univ., Germany

Volume

44

Issue

3

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

482

Lastpage

484

Abstract

In this paper, an error bound is presented for Bolinder´s well-known approximate formula relating the input reflection coefficient and the local reflectivity parameter of a lossless nonuniform transmission line (NTL) via the Fourier transformation. Despite modern computers allowing an accurate analysis, Bolinder´s formula is still of interest. First, it makes possible an approximate synthesis of NTLs which can be used in a subsequent optimization. Second, it supports an intuitive grasp for the electrical properties of NTL´s

Keywords

Fourier transforms; error analysis; transmission line theory; Bolinder formula; approximate Fourier transformation relationship; error bound; input reflection coefficient; local reflectivity parameter; lossless nonuniform transmission line; nonuniform transmission lines; Capacitors; Circuit analysis computing; Distributed parameter circuits; Impedance; Inductors; Propagation losses; Reflection; Reflectivity; Resistors; Transmission lines;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.486164

Filename

486164