E.M. Gabidulin, Pingzhi Fan, M. Darnell
Abstract
Golomb (1965) sequences of length L form a class of polyphase sequences which have a perfect periodic autocorrelation. Given certain constraints, they also have a favorable aperiodic autocorrelation. This paper presents a comprehensive study of the asymptotic behavior of the aperiodic autocorrelation function of Golomb sequences.
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Golomb (1965) sequences of length L form a class of polyphase sequences which have a perfect periodic autocorrelation. Given certain constraints, they also have a favorable aperiodic autocorrelation. This paper presents a comprehensive study of the asymptotic behavior of the aperiodic autocorrelation function of Golomb sequences.
Key concepts: Golomb coding, Autocorrelation, Aperiodic graph, Polyphase system, Complementary sequences, Autocorrelation matrix, Mathematics, Autocorrelation technique