基于差集構(gòu)造零相關(guān)區(qū)高斯整數(shù)序列集
doi: 10.11999/JEIT161177
基金項(xiàng)目:
國家自然科學(xué)基金(61671402, 61501395),河北省自然科學(xué)基金(F2015203150, F2015203204),河北省高等學(xué)??茖W(xué)研究計(jì)劃(QN2014027)
Construction of Zero Correlation Zone Gaussian Integer Sequence Sets Based on Difference Sets
Funds:
The National Natural Science Foundation of China (61671402, 61501395) , The Natural Science Foundation of Hebei Province (F2015203150, F2015203204), The Natural Science Research Programs of Hebei Educational Committee (QN2014027)
-
摘要: 該文給出一類零相關(guān)區(qū)高斯整數(shù)序列的直接構(gòu)造法。該方法基于差集,利用移位序列得到一類零相關(guān)區(qū)高斯整數(shù)序列集,并且序列集的零相關(guān)區(qū)長度以及元素取值可靈活設(shè)定。由于差集的研究成果非常豐富,因此該方法可以為CDMA通信系統(tǒng)提供大量零相關(guān)區(qū)高斯整數(shù)序列集。
-
關(guān)鍵詞:
- 高斯整數(shù)序列 /
- 零相關(guān)區(qū) /
- 差集 /
- 移位序列
Abstract: A unified construction of Guassian integer sequence sets with Zero Correlation Zone (ZCZ) is presented. Based on difference sets, optimal or almost optimal ZCZ Gaussian integer sequence sets are constructed using shift sequences, whose ZCZ length and alphabets can be flexibly chosen. Since the study of difference sets has achieved abundant?accomplishment, then the presented method will produce an abundance of ZCZ Gaussian integer sequence sets for CDMA systems.-
Key words:
- Gaussian integer sequence /
- Zero Correlation Zone (ZCZ) /
- Difference set /
- Shift sequence
-
using Fourier duals of sparse perfect Gaussian integer sequences[C]. 2016 IEEE International Conference on WANG Senhung and LI Chihpeng. Novel MC-CDMA system Communications, Kuala Lumpur, Malaysia, 2016: 1-6. doi: 10.1109/ICC.2016.7511167. FAN Pingzhi and DARNELL M. Maximual length sequences over Gaussian integers[J]. Electronics Letters, 1994, 30(16): 1286-1287. doi: 10.1049/el:19940913. HU Weiwen, WANG Senhung, and LI Chihpeng. Gaussian integer sequences with ideal periodic autocorrelation functions[J]. IEEE Transactions on Signal Processing, 2012, 60(11): 6074-6079. doi: 10.1109/TSP.2012.2210550. CHEN Xinjiao, LI Chunlei, and RONG Chunming. Perfect Gaussian integer sequences from cyclic difference sets[C]. 2016 IEEE International Symposium on Information Theory, Barcelona, Spain, July 2016: 115-119. doi: 10.1109/ISIT. 2016.7541272. LEE Chongdao, LI Chihpeng, CHANG Hohsuan, et al. Further results on degree-2 perfect Gaussian integer sequences[J]. IET Communications, 2016, 10(12): 1542-1552. doi: 10.1049/iet-com.2015.1144. YANG Yang, TANG Xiaohu, and ZHOU Zhengchun. Perfect Gaussian integer sequences of odd prime length[J]. IEEE Signal Processing Letters, 2012, 19(10): 615-618. doi: 10.1109/LSP.2012.2209642. LEE Chongdao, HUANG Yupei, CHANG Yaotsu, et al. Perfect Gaussian integer sequences of odd period 2m-1[J]. IEEE Signal Processing Letters, 2015, 22(7): 881-885. doi: 10.1109/LSP.2014.2375313. PEI Soochang and CHANG Kuowei. Perfect Gaussian integer sequences of arbitrary length[J]. IEEE Signal Processing Letters, 2015, 22(8): 1040-1044. doi: 10.1109/LSP.2014. 2381642. CHANG Hohsuan, LI Chihpeng, LEE Chongdao, et al. Perfect Gaussian integer sequences of arbitrary composite length[J]. IEEE Transactions on Information Theory, 2015, 61(7): 4107-4115. doi: 10.1109/TIT.2015.2438828. 陳曉玉, 許成謙, 李玉博. 新的完備高斯整數(shù)序列的構(gòu)造方法 [J]. 電子與信息學(xué)報(bào), 2014, 36(9): 2081-2085. doi: 10.3724/ SP.J.1146.2013.01697. CHEN Xiaoyu, XU Chengqian, and LI Yubo. New constructions of perfect Gaussian integer sequences[J] Journal of Electronics Information Technology, 2014, 36(9): 2081-2085. doi: 10.3724/SP.J.1146.2013.01697. WANG Senhung, LI Chihpeng, CHANG Hohsuan, et al. A systematic method for constructing sparse Gaussian integer sequences with ideal periodic autocorrelation functions[J]. IEEE Transactions on Communications, 2016, 64(1): 365-376. doi: 10.1109/TCOMM.2015.2498185. PENG Xiuping and XU Chengqian. New constructions of perfect Gaussian integer sequences of even length[J]. IEEE Communications Letters, 2014, 18(9): 1547-1550. doi: 10. 1109/LCOMM.2014.2336840. ZHOU Zhengchun and TANG Xiaohu. A new class of sequences with zero or low correlation zone based on interleaving technique[J]. IEEE Transactions on Information Theory, 2008, 54(9): 4267-4273. doi: 10.1109/TIT.2008. 928256. 李玉博, 許成謙. 交織法構(gòu)造移位不等價(jià)的ZCZ/LCZ序列集[J]. 電子學(xué)報(bào), 2011, 39(4): 796-802. LI Yubo and XU Chengqian. Construction of cyclically distinct ZCZ/LCZ sequence sets based on interleaving technique[J]. Acta Electronica Sinica, 2011, 39(4): 796-802. 劉凱, 姜昆, 交織法構(gòu)造高斯整數(shù)零相關(guān)區(qū)序列集[J]. 電子與信息學(xué)報(bào), 2017, 39(2): 328-334. doi: 10.11999/JEIT160276. LIU Kai and JIANG Kun. Construction of Gaussian integer sequence sets with zero correlation zone based on interleaving technique[J]. Journal of Electronics Information Technology, 2017, 39(2): 328-334. doi: 10.11999/JEIT160276. CHEN Xiaoyu, KONG Deming, XU Chengqian, et al. Constructions of Gaussian integer sequences with zero corelation zone[J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2016, E99-A(6): 1260-1263. doi: 10.1587/transfun.E99.A.1260. LI Yubo and XU Chengqian. A new construction of zero correlation zone Gaussian integer sequence sets[J]. IEEE Communications Letters, 2016. 20(12): 2418-2421. doi: 10. 1109/LCOMM.2016.2609383. TANG Xiaohu, FAN Pingzhi, and MATSUFUJI Shinya. Lower bounds on correlation of spreading sequence set with low or zero correlation zone[J]. Electronics Letters, 2000, 36(6): 551-552. doi: 10.1049/el:20000462. -
計(jì)量
- 文章訪問數(shù): 1155
- HTML全文瀏覽量: 109
- PDF下載量: 228
- 被引次數(shù): 0