个人信息Personal Information
副教授
硕士生导师
性别:男
毕业院校:北京大学
学位:博士
所在单位:数学科学学院
学科:基础数学. 应用数学
办公地点:创新园大厦B1103
电子邮箱:weng@dlut.edu.cn
Binary almost-perfect sequence sets
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论文类型:期刊论文
发表时间:2010-07-01
发表刊物:IEEE Transactions on Information Theory
收录刊物:EI
卷号:56
期号:7
页面范围:3594-3604
ISSN号:00189448
摘要:Sequence set with lower correlation values is highly desired for engineering applications. However, theoretical results (e.g., Welch bound) show that θ max ?N in general, that is, the maximum out-of-phase autocorrelation and cross-correlation magnitudes of a sequence set is not less than the square root of the sequence period. In this paper, we propose a new concept, namely almost perfect sequence set (APSS), which has the property θmax ≤c except for at most m shifts, where c and m are predefined small integers. A uniform method is presented to construct APSS and then the properties of such APSS are discussed. Moreover, a distance inequality on the APSS with m = 1 is obtained and several APSS families such as (2p, 8p+2, 6, 4)-APSS and (3p, 64p2+8\over 3, 9, 9\right)-APSS for any prime ?5 are constructed based on Paley and Paley partial sequences. Finally, it shows that the APSS can be used to construct LCZ sequences and the properties of such LCZ sequences are presented. © 2006 IEEE.