Construction of Perfect Gaussian Integer Sequences Based on Cyclic Difference Sets

LIU Kai; NI Jia

doi:10.12263/DZXB.20200239

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Construction of Perfect Gaussian Integer Sequences Based on Cyclic Difference Sets

PAPERS | 更新时间：2025-12-08

- Construction of Perfect Gaussian Integer Sequences Based on Cyclic Difference Sets
- ACTA ELECTRONICA SINICA Vol. 49, Issue 8, Pages: 1474-1479(2021)
- 作者机构：
  
  1.燕山大学信息科学与工程学院，河北秦皇岛 066004
  2.河北省信息传输与信号处理重点实验室，河北秦皇岛 066004
- 作者简介：
- 基金信息：
- DOI：10.12263/DZXB.20200239
  CLC： TN911.2;
- Received：06 March 2020，
  
  Revised：2021-04-28，
  
  Published：25 August 2021
- 稿件说明：
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刘凯,倪佳.基于循环差集的最佳高斯整数序列构造[J].电子学报,2021,49(08):1474-1479.

LIU Kai,NI Jia.Construction of Perfect Gaussian Integer Sequences Based on Cyclic Difference Sets[J].ACTA ELECTRONICA SINICA,2021,49(08):1474-1479.
刘凯,倪佳.基于循环差集的最佳高斯整数序列构造[J].电子学报,2021,49(08):1474-1479. DOI： 10.12263/DZXB.20200239.

LIU Kai,NI Jia.Construction of Perfect Gaussian Integer Sequences Based on Cyclic Difference Sets[J].ACTA ELECTRONICA SINICA,2021,49(08):1474-1479. DOI： 10.12263/DZXB.20200239.

摘要

最佳高斯整数序列应用于通信系统不仅能抑制干扰，还可获得高的传输速率和频谱利用率.本文基于循环差集给出了构造自由度为2的最佳高斯整数序列的充要条件，比较现有文献，可获得更高能量效率的最佳高斯整数序列.同时，利用上采样和过滤技术扩展了最佳高斯整数序列的长度和自由度.本文方法能得到大量适于高速通信系统的最佳高斯整数序列，扩展了通信地址码的选择范围.

Abstract

Perfect Gaussian integer sequences applied to communication systems can not only restrain disturbance

but also obtain high transmission rates and spectrum utilization. In this paper

the sufficient and necessary condition for constructing the perfect Gaussian integer sequences with 2-degree freedom is given based on the cyclic difference sets. The perfect Gaussian integer sequences with higher energy efficiency can be obtained compared to the existing literatures. The length and degree of freedom of the perfect Gaussian integer sequences are extended by up-sampling and filtering. A large number of perfect Gaussian integer sequences obtained in this paper are suitable for high speed communication applications

which expands the selection range of address codes.

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references

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