Accession Number : ADA262825


Title :   Selection and Transmission of Information. Issue 22. Republic Interdepartmental Collection (Selected Articles)


Corporate Author : FOREIGN AEROSPACE SCIENCE AND TECHNOLOGY CENTER WRIGHT-PATTERSON AFB OH


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a262825.pdf


Report Date : 18 Mar 1993


Pagination or Media Count : 31


Abstract : Analysis is given of representation of correlation functions of random processes and the processes themselves in the form of linear combinations of specific determined functions of time with random coefficients: general spectral, canonical, orthogonal. It is shown that in contrast to the case of the commutative converters, analyzed in the terms of theory of C*-algebras and their Gelfand isomorphism, in the case of noncommutative converters it is necessary to use operators of transformation of coordinates, composition of Volterra and A- composition. Is introduced the concept of T-representability, which generalizes the concept of harmonizability. As examples are examined the harmonic modulated oscillation/vibration, the periodically correlated processes, sampling theorems. No tables. Bibliog. 14. The problems of the linear theory of signal are solved within the framework of the covariance theory random process, which are represented in the form of the linear combination of the determined functions of time with the random coefficients.


Descriptors :   *RANDOM VARIABLES , *COEFFICIENTS , USSR , VIBRATION , THEORY , TIME , COORDINATES , SAMPLING , OSCILLATION , THEOREMS , MACHINE TRANSLATION , CONVERTERS , TRANSFORMATIONS , COVARIANCE , RUSSIAN LANGUAGE , SIGNALS , CORRELATION , HARMONICS , CONTRAST , FOREIGN TECHNOLOGY


Subject Categories : Statistics and Probability


Distribution Statement : APPROVED FOR PUBLIC RELEASE