An optimization approach to the frequency-domain inverse problem for a nonuniform LCRG transmission line

Author

Norgren, Martin ; He, Sailing

Author_Institution

Dept. of Electromagn. Theory, R. Inst. of Technol., Stockholm, Sweden

Volume

44

Issue

8

fYear

1996

fDate

8/1/1996 12:00:00 AM

Firstpage

1503

Lastpage

1507

Abstract

The inverse problem for a nonuniform LCRG transmission line is considered in the frequency domain. Imbedding equations for the reflection and transmission coefficients are derived through the concept of wave-splitting. An optimization approach is applied to reconstruct the line parameters as functions of the position using band-limited reflection and/or transmission data. Exact and explicit expressions for the gradients are derived, and the reconstruction algorithm (based upon a conjugate gradient method) is tested with both clean and noisy data, The problem of the nonuniqueness is also discussed

Keywords

conjugate gradient methods; frequency-domain analysis; inverse problems; optimisation; transmission line theory; conjugate gradient method; frequency-domain inverse problem; imbedding equations; nonuniform LCRG transmission line; optimization; reconstruction algorithm; reflection coefficients; transmission coefficients; wave-splitting; Distributed parameter circuits; Equations; Frequency domain analysis; Geometry; Gradient methods; Impedance; Inverse problems; Reflection; Transmission lines; Voltage;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.536038

Filename

536038