American Institute of Mathematical Sciences

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February  2010, 4(1): 61-68. doi: 10.3934/amc.2010.4.61

New construction methods of quaternary periodic complementary sequence sets

Ji-Woong Jang 1, , Young-Sik Kim 2, , Sang-Hyo Kim 3, and  Dae-Woon Lim 4,

1. 

LG Electronics, Co., Ltd., Anyang, South Korea
2. 

Samsung Electronics co. Ltd., Yongin
3. 

School of Information and Communication Engineering, Sungkyunkwan University, Suwon 440-746
4. 

Information and Communication Engineering, Dongguk University, Seoul 100-715, South Korea

Received  May 2009 Revised  January 2010 Published  February 2010

In this paper, two new construction methods of quaternary periodic complementary sequence (PCS) sets are proposed using a binary PCS set with even period. The proposed methods apply the Gray mapping to a binary PCS set. The only necessary condition to apply the proposed methods is that the employed binary PCS set should have an even period.
Keywords: complementary sequence sets, Binary sequences, Golay complementary sequence, quaternary sequences, periodic complementary sequence (PCS) sets, sequences..
Mathematics Subject Classification: Primary: 11B50, 94A55; Secondary: 11B7.
Citation: Ji-Woong Jang, Young-Sik Kim, Sang-Hyo Kim, Dae-Woon Lim. New construction methods of quaternary periodic complementary sequence sets. Advances in Mathematics of Communications, 2010, 4 (1) : 61-68. doi: 10.3934/amc.2010.4.61
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