1997IEEE Transactions on Information TheoryRequires access

Binary odd-periodic complementary sequences

Hans Dieter Lüke

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Abstract

A pair of binary sequences is called complementary if the sum of their aperiodic autocorrelation functions is zero except for zero shift. Such sequences are known for relatively few lengths. This correspondence therefore introduces pairs of binary odd-periodic complementary sequences, which can be constructed using q-ary m-sequences for many more lengths.

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What this paper is about

A pair of binary sequences is called complementary if the sum of their aperiodic autocorrelation functions is zero except for zero shift. Such sequences are known for relatively few lengths. This correspondence therefore introduces pairs of binary odd-periodic complementary sequences, which can be constructed using q-ary m-sequences for many more lengths.

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Available abstract

A pair of binary sequences is called complementary if the sum of their aperiodic autocorrelation functions is zero except for zero shift. Such sequences are known for relatively few lengths. This correspondence therefore introduces pairs of binary odd-periodic complementary sequences, which can be constructed using q-ary m-sequences for many more lengths.

Key concepts: Aperiodic graph, Complementary sequences, Autocorrelation, Binary number, Mathematics, Zero (linguistics), Combinatorics, Pseudorandom binary sequence

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