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On Transformations of Periodic Sequences

Doklady Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Decimation of Periodic Sequences

SIAM Journal on Applied Mathematics, 1971
Let v be a linear recursive sequence over a finite field, and let $v^d $, the decimation of vbyd, be the sequence obtained by taking every dth member of v. In this note, we study decimations and show how to obtain the recursion for $v^d $ in terms of the recursion for v.
Duvall, Paul F., Mortick, Jack C.
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ESTIMATION OF THE PERIOD OF PERIODICALLY CORRELATED SEQUENCES

Journal of Time Series Analysis, 1993
Abstract.In this paper we consider the problem of estimating the periodTof periodically correlated sequences. A method is developed which uses the periodogram of the average magnitude difference function (AMDF). It will be shown that this method alleviates problems associated with other methods.
Martin, Donald E. K., Kedem, Benjamin
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PERIODIC SHORT EXACT SEQUENCES AND PERIODIC PURE-EXACT SEQUENCES

Journal of Algebra and Its Applications, 2010
Benson and Goodearl [Periodic flat modules, and flat modules for finite groups, Pacific J. Math.196(1) (2000) 45–67] proved that if M is a flat module over a ring R such that there exists an exact sequence of R-modules 0 → M → P → M → 0 with P a projective module, then M is projective.
Bouchiba, Samir, Khaloui, Mostafa
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On period of multiplexed sequences

1996
Multiplexed and generalized multiplexed sequences for cryptographic and spread spectrum applications are introduced and their periods determined by using a recent result on the period of nonuniformly decimated sequences. Several published results are thus strenghtened and/or generalized. In particular, the period of the well-known multiplexed sequences
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Periodic complementary binary sequences

IEEE Transactions on Information Theory, 1990
Existence conditions and recursive construction procedures for sets of periodic complementary binary sequences are given. Relationships to sets of aperiodic complementary binary sequences and to perfect binary arrays, whose two-dimensional periodic autocorrelation function is a delta function, are noted. The connections of periodic complementary binary
Leopold Bömer, Markus Antweiler
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RENEWAL SEQUENCES WITH PERIODIC DYNAMICS

Probability in the Engineering and Informational Sciences, 2011
Discrete-time renewal sequences play a fundamental role in the theory of stochastic processes. This article considers periodic versions of such processes; specifically, the length of an interrenewal is allowed to probabilistically depend on the season at which it began.
Fralix, Brian   +2 more
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On q-Ary Periodic Sequences

Journal of Mathematical Sciences, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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