Analysis of linear systems in field of transforms and intrinsic frequencies of RTF transformation

Authors

  • A. I. Rybin National Technical University of Ukraine "Kyiv Polytechnic Institute", Ukraine https://orcid.org/0000-0003-4443-1075
  • A. P. Tkachuk National Technical University of Ukraine "Kyiv Polytechnic Institute", Ukraine

DOI:

https://doi.org/10.3103/S0735272706110082

Abstract

The decision algorithm of the linear differential equations in the field of transforms of Walsh transformations with use of decomposition on intrinsic values and intrinsic vectors of matrix differentiation operators is offered. It is produced multiple orthogonal transformation (named RTF) with decomposition on complex exponents on the frequencies corresponding intrinsic values.

References

AHMED, N.; RAO, K.R. Orthogonal Transforms for Digital Signal Processing. Springer-Verlag, 1975.

Pratt, W. K. Digital Image Processing, Vols. 1, 2. New York: John Wiley & Sons Inc., 1991.

RYBIN, A I. "REX — the ortogonal exponential transform," Radioelectron. Commun. Syst., v.47, n.2, p.1-5, 2004. URI: http://radioelektronika.org/article/view/S0735272704020013.

RYBIN, A I. "Normalization of discrete orthogonal transformations by a test signal," Radioelectron. Commun. Syst., v.47, n.7, p.27-31, 2004. URI: http://radioelektronika.org/article/view/S0735272704070052.

CORRINGTON, M.S. "Solution of differential and integral equations with Walsh functions," IEEE Trans. Circuit Theory, v.20, n.5, р.470-476, 1973. DOI: https://doi.org/10.1109/TCT.1973.1083748.

GONZALEZ, R.; VUDS, R. Digital Image Processing [in Russian]. Moscow: Technosphera, 2005.

RYBIN, A I. "Analysis of linear networks in the Walsh transformation basis," Radioelectron. Commun. Syst., v.47, n.5, p.23-26, 2004. URI: http://radioelektronika.org/article/view/S0735272704050048.

RYBIN, A I. "The method of modifications for linear network analysis in the basis of the Walsh functions," Radioelectron. Commun. Syst., v.47, n.6. p.26-31, 2004. URI: http://radioelektronika.org/article/view/S0735272704060056.

RYBIN, A.I.; GRIGORENKO, E.G.; RODIONOVA, M.B. "Analysis algorithm of electric networks in basis of orthogonal transformations with real kernel in the transforms field," Proc. Institute of Electrodynamics NANU, n.3, p.10-14, 2004.

Published

2006-11-08

Issue

Section

Research Articles