Complex Golay sequences: structure and applications
نویسندگان
چکیده
منابع مشابه
Complex Golay sequences: structure and applications
Complex Golay sequences were introduced in 1992 to generalize constructions for Hadamard matrices using Golay sequences. (In the last section of this paper we describe some independent earlier work on quadriphase pairs–equivalent objects used in the setting of signal processing.) Since then we have constructed some new in7nite classes of these sequences and learned some facts about their struct...
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Golay sequences have been used extensively for constructing base sequences, Yang numbers, T-sequences, Hadamard matrices, SBIBDs and Hadamard matrices with maximum possible sums. The possibility of obtaining new Golay sequences is diminishing and only non-existence results are appearing nowadays. We introduce block Golay sequences. It turns out that every result on Golay sequences could be exte...
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Golay complementary sequences, often referred to as Golay pairs, are characterised by the property that the sum of their aperiodic autocorrelation functions equals to zero, except for the zero shift. Because of this property, Golay complementary sequences can be utilised to construct Hadamard matrices defining sets of orthogonal spreading sequences for DS CDMA systems of the lengths not necessa...
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Complementary sequences were introduced by Marcel Golay [1] in the context of infrared spectrometry. A complementary pair of sequences (CS pair) satis£es the useful property that their out-of-phase aperiodic autocorrelation coef£cients sum to zero [1, 2]. Let a = (a0, a1, . . . , aN−1) be a sequence of length N such that ai ∈ {+1,−1} (we say that a is bi-polar). De£ne the Aperiodic Auto-Correla...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2002
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(01)00162-5