Analysis and Classification of Biomedical and Bioinformation Systems Using a Generalized Spectral Analytical Approach.

A generalized spectral analytical method is outlined—a new approach to processing information arrays. The theoretical foundations of the method are presented, as well as its applications to various problems of processing of experimental data and problems of analysis, recognition, and diagnostics of biomedical and bioinformation systems. Examples of its use for studying biomagnetic data and structures of biomacromolecules are given. The problems of its application for image analysis and recognition are formulated. The method is based on the adaptive decomposition of the original arrays in a functional basis from among classical algebraic systems of polynomials and functions (Jacobi, Chebyshev, Lagrange, Laguerre, and Gegenbauer polynomials, etc., having one and two variables), as well as spherical functions. This approach combines analytical and digital data-processing procedures and is in fact a universal combined technology for processing information arrays. [ABSTRACT FROM AUTHOR]