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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2000 Volume 3, Number 4, Pages 333–344 (Mi sjvm374)

This article is cited in 7 papers

The recognition error probability bounds for quasi-periodic sequence formed from given number of identical subsequences

A. V. Kel'manov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: The upper and lower bounds of the recognition error probability of the quasi-periodic sequence formed from the given number of identical subsequences with unknowns (determined) instants of their beginning is obtained. The case is considered, when the unobservable quasi-periodic sequence is distorted by uncorrelated Gaussian interference with the known dispersion, and the instants of the beginning and ending of observations above the distorted sequence do not break first and last of a subsequence of hidden quasi-periodic sequence into two parts. The theoretical outcomes are illustrated by the data of numerical modeling.

UDC: 519.2+621.391

Received: 12.08.1999
Revised: 05.12.1999



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