American Institute of Mathematical Sciences

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May  2009, 3(2): 115-124. doi: 10.3934/amc.2009.3.115

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

Ji-Woong Jang 1, , Young-Sik Kim 2, and  Sang-Hyo Kim 3,

1. 

Department of Electrical & Computer Engineering, University California San Diego, San Diego, CA. 92117, United States
2. 

Samsung Electronics co. Ltd., Yongin, South Korea
3. 

School of Information and Communication Engineering, Sungkyunkwan University, Suwon 440-746, South Korea

Received  November 2008 Revised  March 2009 Published  May 2009

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.
Keywords: sequences, low correlation zone (LCZ), LCZ sequence sets, quasi-synchronous (QS) CDMA, zero correlation zone (ZCZ), quaternary sequences, ZCZ sequence sets., CDMA, Gray mapping.
Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C3.
Citation: Ji-Woong Jang, Young-Sik Kim, Sang-Hyo Kim. New design of quaternary LCZ and ZCZ sequence set from binary LCZ and ZCZ sequence set. Advances in Mathematics of Communications, 2009, 3 (2) : 115-124. doi: 10.3934/amc.2009.3.115
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