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近似最佳序列偶集的构造

A method to construct approximate perfect sequences pairs set
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摘要 通过一个Nc长的最佳序列偶(s,t),构造一个N=MNc长的序列偶集。先对序列(s,t),进行DFT变换得到对应的谱序列S和T,再对S和T通过rate-expanding映射扩展构造一个新的N=MNc长的谱序列集,再分别对谱序列集进行离散傅立叶逆变换得到两个N=MNc长序列集,构成一个N=MNc长序列偶集,含有个序列偶,得到的序列偶集中的序列偶异相自相关函数只在几个点(即M个点)处不为零,其余点处都为零,互相关函数处处为零。M=1时,就是原序列偶,长度为,Nc,M>1时,长度为MNc,序列偶集中的个数为M>1。 A method to construct an approximate perfect sequences pairs set of length N=MNc from a perfect sequences pair(s,t),of length Nc is presented.First spectrum sequences pair(S,T)is got by using DFT to sequences pair(s,t),then a new spectrum sequences pairs set of length N=MNc is got by using rate-expanding to(S,T),at last a sequences pairs set,which has sequences pairs is constructed by using IDFT to spectrum sequences pair set.The autocorrelation is zero except points,and the crosscorrelation is zero.When M=1,the original sequences pair is got,while M1,the length of sequences pair is,and the number of sequences pairs is M1.
出处 《燕山大学学报》 CAS 2010年第3期248-251,共4页 Journal of Yanshan University
基金 国家自然科学基金资助项目(60872061) 河北省自然科学基金资助项目(F2008000855)
关键词 序列偶 ZCZ序列偶集 离散傅立叶变换 sequences pair ZCZ sequences pairs set DFT
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参考文献3

  • 1Li Qi, Gao Junping, Zhao Xiaoqun. The application of the ZCZ sequence pairs sets in QS-CDMA system [C]//IWSDA, Chengdu:IEEE Press, 2007: 288-291.
  • 2Tsai Lung-Sheng, Su Y t Transform domain approach for sequence design and its applications [J]. IEEE Journal on selected areas in commulications, 2006,24 (1): 75-83.
  • 3Fan P Z, Darnell M. Sequence design for communications applications [M]. London: Research Studies Press, 1996: 25-26.

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