Transformation of hyper-random quantities and processes

Authors

DOI:

https://doi.org/10.3103/S0735272710020019

Keywords:

hyper-random process

Abstract

The known ways of representing hyper-random quantities and processes are analyzed with respect to the appropriateness of their application to describe various types of transformations. A series of relations between characteristics and parameters of transformed and initial hyper-random quantities and processes is obtained. Recommendations on the use of various ways of representing scalar and vector hyper-random quantities in the cases of linear and non-linear transformations as well as processes subject to non-inertial and inertial transformations are given.

References

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V. N. Tutubalin, Probabilities Theory (Izdat. Moscow University, Moscow, 1972) [in Russian].

I. I. Gorban, “The Hyperrandom Functions and Their Description,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 49(1), 3 (2006); Radioelectron. Commun. Syst. 49(1), 1 (2006).

B. R. Levin, Theoretical Basis of Statistical Radio Engineering (Sov. Radio, Moscow, 1974) [in Russian].

V. I. Tikhonov and V. N. Kharisov, Statistical Analysis and Synthesis of Radio Devices and Systems (Radio i Svyaz’, Moscow, 1991) [in Russian].

I. I. Gorban, Probabilities Theory and Mathematical Statistics for Scientific Workers and Engineers (IPMMS NANU, Kyiv, 2003) [in Ukraine].

I. I. Gorban, “Stationary and Ergodic Hyperrandom Functions,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 49(6), 54 (2006); Radioelectron. Commun. Syst. 49(6), 45 (2006).

Published

2010-02-01

Issue

Section

Research Articles