Spectral Methods for Cross Correlations of Geometric Sequences
نویسندگان
چکیده
منابع مشابه
Cross-Correlations of Geometric Sequences in Characteristic Two
Cross-correlation functions are determined for a large class of geometric sequences based on m-sequences in characteristic two. These sequences are shown to have low cross-correlation values in certain cases. They are also shown to have significantly higher linear complexities than previously studied geometric sequences. These results show that geometric sequences are candidates for use in spre...
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In this paper we study the cross-correlation function values of geometric sequences obtained from q-ary m-sequences whose underlying m-sequences are linearly or quadratically related. These values are determined by counting the points of intersection of pairs of hypeplanes or of hyperplanes and quadric hypersurfaces of a finite geometry. The results are applied to obtain the cross-correlations ...
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An arithmetic version of the crosscorrelation of two sequences is defined, generalizing Mandelbaum’s arithmetic autocorrelations. Large families of sequences are constructed with ideal (vanishing) arithmetic cross-correlations. These sequences are decimations of the 2-adic expansions of rational numbers p/q such that 2 is a primitive root modulo q.
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2004
ISSN: 0018-9448
DOI: 10.1109/tit.2003.821982