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Characterizing the autocorrelations of binary sequences | IEEE Journals & Magazine | IEEE Xplore

Characterizing the autocorrelations of binary sequences


Abstract:

The class of autocorrelation functions of binary sequences is studied in terms of their finite-dimensional projections; that is, the vector ranges of finite sets of conse...Show More

Abstract:

The class of autocorrelation functions of binary sequences is studied in terms of their finite-dimensional projections; that is, the vector ranges of finite sets of consecutive correlation coefficients. These are convex polyhedra whose extreme points can be generated by binary sequences of bounded periods. Algorithms are given for the calculation of the extreme points. Tables are presented for the extreme points and supporting hyperplanes of projections of dimensions up to five. Some conclusions about the general class of autocorrelations of binary sequences are drawn from these tables.
Published in: IEEE Transactions on Information Theory ( Volume: 29, Issue: 4, July 1983)
Page(s): 502 - 508
Date of Publication: 31 July 1983

ISSN Information:


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