GMW序列和WG序列及WG序列间的互相关特性

佟鑫; 温巧燕

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GMW序列和WG序列及WG序列间的互相关特性

学术通信 | 更新时间：2024-10-14

- GMW序列和WG序列及WG序列间的互相关特性
- Cross-correlation properties between GMW and WG sequences and that of WG sequences
- 通信学报 2007年第7期页码：118-122
- 作者机构：
  
  1. 北京邮电大学理学院
  2. 北京邮电大学理学院,北京,100876
- 作者简介：
- 基金信息：
- DOI：
  中图分类号： TN929.533
- 纸质出版：2007
- 稿件说明：
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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,(7):118-122.

TONG Xin, WEN Qiao-yan. Cross-correlation properties between GMW and WG sequences and that of WG sequences[J]. 2007, (7): 118-122.
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,(7):118-122. DOI：

TONG Xin, WEN Qiao-yan. Cross-correlation properties between GMW and WG sequences and that of WG sequences[J]. 2007, (7): 118-122. DOI：

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。

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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