| GMW序列和WG序列及WG序列间的互相关特性 |
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| 引用本文： | 佟 鑫,温巧燕.GMW序列和WG序列及WG序列间的互相关特性[J].通信学报,2007,28(7):118-122. |
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| 作者姓名： | 佟 鑫 温巧燕 |
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| 作者单位： | 北京邮电大学,理学院,北京,100876 |
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| 基金项目： | 国家自然科学基金;国家高技术研究发展计划(863计划);国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | 对于奇数n,研究了Gordon-Mills-Welch（GMW）序列与Welch-Gong（WG）序列（及其某一采样序列）间的互相关函数以及WG序列间的互相关函数。研究表明：GMW序列与WG序列（及其某一采样序列）间的互相关函数以及WG序列间的互相关函数最终均与m-序列与其采样序列间的互相关函数相关;并且在一定条件下,WG序列间的互相关函数可为3-值或5-值的。另外,给出了GMW序列与WG序列间互相关函数的最大峰值。
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| 关 键 词： | 理想自相关序列 Gordon-Mills-Welch序列 Welch-Gong序列 采样 互相关函数 |
| 文章编号： | 1000-436X（2007）07-0118-05 |
| 修稿时间： | 2007-01-102007-05-20 |
Cross-correlation properties between GMW and WG sequences and that of WG sequences |
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| TONG Xin,WEN Qiao-yan.Cross-correlation properties between GMW and WG sequences and that of WG sequences[J].Journal on Communications,2007,28(7):118-122. |
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| Authors: | TONG Xin WEN Qiao-yan |
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| Affiliation: | Science School, Beijing University of Posts and Telecommunications, Beijing 100876,China |
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| Abstract: | For odd n,the cross-correlations between Gordon-Mills-Welch(GMW) sequences and Welch-Gong(WG) sequences(decimated WG sequences with one particular exponent) and that of WG sequences were investigated.It shows that the calculations of the cross-correlation between GMW sequences and WG sequences(decimated WG sequences with one particular exponent) and that of WG sequences were all related to the cross-correlation of m-sequences and their decimations.Moreover,the cross-correlation of WG sequences can be 3-valued or 5-valued under a certain condition.Furthermore,the maximum magnitude of the cross-correlation between GMW sequences and WG sequences were given. |
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| Keywords: | ideal autocorrelation sequences Gordon-Mills-Welch sequences Welch-Gong sequences decimation cross-correlation |
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