Orthogonal Transforms in Bases of Slant Step Functions. I. Constructing Complete Sets of Orthogonal Slant Step Functions
Author: Gnativ, L.
Source: Cybernetics and Systems Analysis, Volume 41, Number 3, May 2005 , pp. 415-426(12)
Abstract:The author introduces a new class of step functions and defines them in terms of the Rademacher functions. Two complete systems of orthogonal slant step functions are constructed and their characteristics are analyzed. The relationship between the basis functions of these systems and the system of the Walsh functions is established and their orthonormality is proved. It is shown that the proposed systems of slant step functions can be efficiently used to code video signal.
Document Type: Research Article
Affiliations: V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine,
Publication date: May 1, 2005