| New Sarwate Bounds on Aperiodic Correlation of Sequences over pth Roots of Unity |
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| 作者姓名： | 胡飞 文红 靳蕃 |
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| 作者单位： | School of Computer and Communication Engineering，Southwest Jiaotong University，School of Computer and Communication Engineering，Southwest Jiaotong University，School of Computer and Communication Engineering，Southwest Jiaotong University Chengdu 610031，China，Chengdu 610031，China，Chengdu 610031，China |
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| 摘 要： | Introduction Thecorrelationpropertiesofsetsofsequencesareimportantwhentheyareusedasthespreadingcodesincode divisionmultipleaccess (CDMA)spread spectrumcommunicationsaswellasinrangingandsynchronizationapplications1] .Thesequencesusedinthesefieldsarealw…
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| 关 键 词： | CDMA 码分多址 移动通信系统 非周期相关性 编码 时间序列信号 |
New Sarwate Bounds on Aperiodic Correlation of Sequences over pth Roots of Unity |
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| Hu FeiWen Hong Jin Fan.New Sarwate Bounds on Aperiodic Correlation of Sequences over pth Roots of Unity[J].Journal of Southwest Jiaotong University,2003,11(1):23-30. |
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| Authors: | Hu FeiWen Hong Jin Fan |
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| Abstract: | The minimum aperiodic crosscorrelation of binary sequences of size M and length n over the alphabet E={1, -1} has been obtained by Levenshtein for M≥4 and n≥2 These bounds improve a long-standing bound given by Welch. In this paper, the Sarwate bounds for codes over the pth roots of unity with the same parameters M and n are discussed, that is,the lower bounds and trade-off are established for the maximum magnitude of the aperiodic crosscorrelation function and the maximum magnitude of the out-of-phase aperiodic autocorrelation function for the sets of periodic sequences with the same parameters M and n by using the modified Levenshtein method. The results show that new bounds are tighter than Sarwate bounds and Levenshtein bounds. |
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| Keywords: | aperiodic correlation sequences bound inequality quadratic form |
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