منابع مشابه
Golay complementary array pairs
Constructions and nonexistence conditions for multi-dimensional Golay complementary array pairs are reviewed. A construction for a d-dimensional Golay array pair from a (d+1)-dimensional Golay array pair is given. This is used to explain and expand previously known constructive and nonexistence results in the binary case.
متن کاملGolay Complementary Sequences
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...
متن کاملGolay Complementary Sequences Over the QAM Constellation
In this paper,we present new constructions for M -QAM and 2M Q-PAM Golay complementary sequences of length 2 for integer n, where M = 2 for integer m. New decision conditions are proposed to judge whether the sequences with offset pairs proposed by Ying Li are Golay complementary, and with the new decision conditions, we prove the conjecture 1 and point out some drawbacks in conjecture 2 propos...
متن کاملQuaternary Golay sequence pairs I: even length
The origin of all 4-phase Golay sequences and Golay sequence pairs of even length at most 26 is explained. The principal techniques are the three-stage construction of Fiedler, Jedwab and Parker [FJP08] involving multi-dimensional Golay arrays, and a “sum-difference” construction that modifies a result due to Eliahou, Kervaire and Saffari [EKS91]. The existence of 4-phase seed pairs of lengths ...
متن کاملQuaternary Golay sequence pairs II: odd length
A 4-phase Golay sequence pair of length s ≡ 5 (mod 8) is constructed from a Barker sequence of the same length whose even-indexed elements are prescribed. This explains the origin of the 4-phase Golay seed pairs of length 5 and 13. The construction cannot produce new 4-phase Golay sequence pairs, because there are no Barker sequences of odd length greater than 13. A partial converse to the cons...
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2007
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-007-9088-z