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Avtomatika i Telemekhanika, 2015, Issue 7, Pages 101–110 (Mi at14257)  
This article is cited in 4 scientific papers (total in 4 papers)

Stochastic Systems, Queuing Systems

A refined formula for the autocorrelation function of an M-sequence

B. F. Kir'yanova, V. M. Kuznetsovb, V. A. Pesoshinb

a Yaroslav-the-Wise Novgorod State University, Veliky Novgorod, Russia
b Kazan National Research Technological University, Kazan, Russia
Full-text PDF (177 kB) Citations (4)
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Abstract: We consider a widespread impreciseness in the autocorrelation function formula for M-sequences. We propose a derivation of the exact expression for the normalized autocorrelation function for a $p$-ary sequence in almost all points of the temporal argument inside a period. We justify the value balance property for the periodic autocorrelation function that lets us obtain analytic expressions for peak outliers of the autocorrelation inside a minimal period for ternary and quinary M-sequences.
Presented by the member of Editorial Board: L. A. Mironovskii

Received: 27.05.2014
English version:
Automation and Remote Control, 2015, Volume 76, Issue 7, Pages 1221–1228
DOI: https://doi.org/10.1134/S0005117915070073
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. F. Kir'yanov, V. M. Kuznetsov, V. A. Pesoshin, “A refined formula for the autocorrelation function of an M-sequence”, Avtomat. i Telemekh., 2015, no. 7, 101–110; Autom. Remote Control, 76:7 (2015), 1221–1228
Citation in format AMSBIB
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\paper A refined formula for the autocorrelation function of an M-sequence
\jour Avtomat. i Telemekh.
\yr 2015
\issue 7
\pages 101--110
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\elib{https://elibrary.ru/item.asp?id=24339970}
\transl
\jour Autom. Remote Control
\yr 2015
\vol 76
\issue 7
\pages 1221--1228
\crossref{https://doi.org/10.1134/S0005117915070073}
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  • https://www.mathnet.ru/eng/at/y2015/i7/p101
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :295
    References:54
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