Application of fast adaptive wavelet expansion method in the computation of parameter matrices of multiple lossy transmission lines

George Pan, Xiaojun Zhu

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Scopus citations

Abstract

The resistance and inductance matrices for multiple lossy transmission lines are evaluated from a two-dimensional field solution. This field solution is obtained by using a wavelet expansion method to solve a set of surface integral equations. The original two-dimensional integral are converted into one-dimensional integral equations by mapping the conductor surfaces into a periodic Hilbert space. The new operators are then expanded into wavelets by the modified nonstandard decomposition method. An Nlog(N) algorithm is obtained by employing the fast wavelet transform. The computational complexity of the matrix elements is reduced greatly by utilizing piecewise polynomial decompositions. The computation time is also reduced significantly by increasing the resolution levels of the wavelets; instead of increasing the number of basis functions, in order to accurately represent the behavior of the normal derivative at low frequencies. In addition, a very sparse and well conditioned matrix is obtained. As a result, the frequency range of the integral equation method has been extended at least three orders magnitude toward the lower end, than was feasible using conventional basis functions by Tsuk and Kong.

Original languageEnglish (US)
Title of host publicationIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
PublisherIEEE
Pages29-32
Number of pages4
Volume1
StatePublished - 1994
Externally publishedYes
EventProceedings of the IEEE Antennas and Propagation International Symposium. Part 3 (of 3) - Seattle, WA, USA
Duration: Jun 19 1994Jun 24 1994

Other

OtherProceedings of the IEEE Antennas and Propagation International Symposium. Part 3 (of 3)
CitySeattle, WA, USA
Period6/19/946/24/94

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Pan, G., & Zhu, X. (1994). Application of fast adaptive wavelet expansion method in the computation of parameter matrices of multiple lossy transmission lines. In IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) (Vol. 1, pp. 29-32). IEEE.