New design of quaternary LCZ and ZCZ sequence set from binary LCZ and ZCZ sequence set

Ji-Woong Jang; Young-Sik Kim; Sang-Hyo Kim

doi:10.3934/amc.2009.3.115

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2009, Volume 3, Issue 2: 115-124. Doi: 10.3934/amc.2009.3.115

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New design of quaternary LCZ and ZCZ sequence set from binary LCZ and ZCZ sequence set

1.
Department of Electrical & Computer Engineering, University California San Diego, San Diego, CA. 92117
2.
Samsung Electronics co. Ltd., Yongin
3.
School of Information and Communication Engineering, Sungkyunkwan University, Suwon 440-746

Received: November 2008

Revised: March 2009

Published: May 2009

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Abstract

In this paper, we suggest two construction methods of quaternary low and zero correlation zone (LCZ and ZCZ) sequence set. The new construction methods use a binary LCZ/ZCZ sequence set and the Gray mapping to produce new quaternary LCZ/ZCZ sequence sets. The parameters of the generated quaternary LCZ/ZCZ sequence set are the same as those of the employed binary LCZ/ZCZ sequence set. That means, an optimal quaternary LCZ/ZCZ sequence set can be constructed from an optimal binary LCZ/ZCZ sequence set.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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New design of quaternary LCZ and ZCZ sequence set from binary LCZ and ZCZ sequence set

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