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Telecommunications and Radio Engineering

ISSN for PRINT: 0040-2508

Institutional price:	$4518.00
Issues per year:	20

Best Paper Award Selection - Editorial Board Site

2002, Volume58

157 pages

Issue price - $394.00

Interrelations between One- and Two-Parameter Representations of Random Signals of Finite Energy

A. A. Mogyla
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine 12, Academician Proskura St., Kharkov 61085, Ukraine

K. A. Lukin
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkov 61085, Ukraine

ABSTRACT

An interrelation is established between one- and two-parameter orthogonal representations of random signals of finite energy, which is used to relate one- and two-parameter representations of signal realizations and correlation functions of the representation components. The mathematical formalism of Hilbert spaces of random processes over the Hilbert space of realizations is used for the purpose, as well as the methods of random process energy theory. Energy characteristics of one- and two-parameter representations of random signals in arbitrary orthonormal bases are analyzed and the interrelation between these characteristics is obtained.