2014
DOI: 10.29173/eureka22829
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An Introduction to Golay Complementary Sequences

Abstract: First, I will discuss Golay sequences as Golay himself defined them, presenting his results on their lengths and his direct and recursive constructions. I will then discuss the broadest generalization yet defined, Golay array pairs. It is fruitful to understand complementary sequences as a special case of Golay array pairs, rather than Golay array pairs simply as an extension of the more fundamental complementary sequences. First, I will discuss their basic properties, and then the ways in which they can be tr… Show more

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Cited by 12 publications
(3 citation statements)
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“…In this implementation, Golay sequences are employed as the pulse compression sequence. The Golay sequence contains a pair of subsequences Ga and Gb [12]. One unique property of the Golay sequence is that the summary of the cross-correlation of the two subsequences will have the sidelobes canceled out, which is highly desirable in any pulse compression scheme.…”
Section: Figure 2 Illustration Of Using the Reflected Light Intensity...mentioning
confidence: 99%
“…In this implementation, Golay sequences are employed as the pulse compression sequence. The Golay sequence contains a pair of subsequences Ga and Gb [12]. One unique property of the Golay sequence is that the summary of the cross-correlation of the two subsequences will have the sidelobes canceled out, which is highly desirable in any pulse compression scheme.…”
Section: Figure 2 Illustration Of Using the Reflected Light Intensity...mentioning
confidence: 99%
“…To enhance the performance of the correlator we adopt the Golay waveform known for its high mainlobe to sidelobe ratio [23], [24]. The sidelobe cancellation property of these waveforms provides a substantial improvement over the generic minimum PSL code utilized in Section II.…”
Section: B Psl Suppression With Golay Sequencesmentioning
confidence: 99%
“…As for the modulation scheme, 𝜋/2 -shift binary phase-shift keying (BPSK) with spreading was employed. Spreading is performed by multiplying a Golay sequence [22,50] with a spreading factor of 64 to make it compatible with the preamble sequence, which also uses a Golay sequence for frame synchronization [51,52] and channel estimation [53]. As a coding scheme, the Reed-Solomon code [54] was applied, considering the hardware complexity at the time of the standardization activity.…”
Section: A4: Multiple Access Procedures In Networkmentioning
confidence: 99%