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http://dx.doi.org/10.14317/jami.2011.29.3_4.547

ON THE COMPUTATION OF THE NON-PERIODIC AUTOCORRELATION FUNCTION OF TWO TERNARY SEQUENCES AND ITS RELATED COMPLEXITY ANALYSIS

Koukouvinos, Christos (Department of Mathematics, National Technical University of Athens)
Simos, Dimitris E. (Department of Mathematics, National Technical University of Athens)

Publication Information

Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 547-562 More about this Journal

Abstract

We establish a new formalism of the non-periodic autocorrelation function (NPAF) of two sequences, which is suitable for the computation of the NPAF of any two sequences. It is shown, that this encoding of NPAF is efficient for sequences of small weight. In particular, the check for two sequences of length n having weight w to have zero NPAF can be decided in $O(n+w^2{\log}w)$ . For n > $w^2{\log}w$$ , the complexity is O(n) thus we cannot expect asymptotically faster algorithms.

Keywords

Sequences; non-periodic autocorrelation function; complexity; algorithms; worst-case analysis; weighing matrices;

Citations & Related Records

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