Data representation by field calculus and leading to the orthonormal linear transforms

Issue title: Special Volume: Proceedings of the eleventh International Symposium on Applied Electromagnetics and Mechanics ISEM-Versailles ISEM 03

Article type: Research Article

Authors: Endo, Hisashi^{a; *} | Takasuka, Yoshihiro^b | Marinova, Iliana^c | Hayano, Seiji^a | Saito, Yoshifuru^a

Affiliations: [a] Hosei University, 3-7-2 Kajino, Koganei, Tokyo 184-8584, Japan | [b] International Institute of Universality, SB Bldg. 8F, 1-4-6 Nezu, Bunkyo, Tokyo 133-0031, Japan | [c] Department of Electrical Apparatus, Technical University of Sofia, Sofia 1756, Bulgaria

Correspondence: [*] Corresponding author. Tel.: +81 42 387 6200; Fax: +81 42 387 6200; E-mail: endo@saito-lab.com

Abstract: This paper proposes a method of data set representation by potential field equations. The principal idea of the representation is to regard a numerical data set as a kind of potential/source fields, leading to the governing equations. The modal analysis of the equations derives the orthonormal linear transform matrix. It is described that the matrix corresponds to that of discrete wavelets performing an efficient wavelet multi-resolution analysis.

DOI: 10.3233/JAE-2004-553

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 19, no. 1-4, pp. 153-157, 2004