Inversion of Shortened LDI Matrix for Designing Discrete-time Filters

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Published: Mar 6, 2014
Keywords:
Lossless Discrete Integration LDI matrix Matrix Inversion

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Dalibor Biolek
Department of Electrical Engineering, Faculty of Military Technology, UD Brno, Czech Republic
Jaromir Kuben, Jr.
Department of Mathematics and Statistics, Faculty of Science, Masaryk University Brno, Czech Republic
Jaromir Kuben
Department of Mathematics and Physics, Faculty of Military Technology, UD Brno, Czech Republic

Abstract

The paper deals with the problem of the inversion of the so-called shortened LDI matrix for conversion between the coefficients of continuous-time and discrete-time linear filters whose s- and z-domain transfer functions are coupled via LDI transform. The elements of the inverse matrix are expressed by analytic formulae for general order of the matrix. The corresponding mathematical proofs are given.

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How to Cite
Biolek, D., Kuben, Jr., J., & Kuben, J. (2014). Inversion of Shortened LDI Matrix for Designing Discrete-time Filters. Applied Science and Engineering Progress, 7(1), 65–72. Retrieved from https://ph02.tci-thaijo.org/index.php/ijast/article/view/67432
Issue
Vol. 7 No. 1 (2014)
Section
Research Articles