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

Autor:	B. F. Kir'yanov, V. A. Pesoshin, V. M. Kuznetsov
Rok vydání:	2015
Předmět:	Sequence Control and Systems Engineering Autocorrelation technique Autocorrelation matrix Autocorrelation Mathematical analysis Electrical and Electronic Engineering Correlation function (astronomy) Moving-average model Partial autocorrelation function Expression (mathematics) Mathematics
Zdroj:	Automation and Remote Control. 76:1221-1228
ISSN:	1608-3032 0005-1179
DOI:	10.1134/s0005117915070073
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::60d80df6e7c9b9f2f3467124e67b58e9 https://doi.org/10.1134/s0005117915070073 Zobrazit plný text záznamu Plný text ve formátu PDF