Construction of Perfect Gaussian Integer Sequences Based on Cyclotomic Classes

LIU Kai; MA Guo-bin; CHEN Pan-pan

doi:10.3969/j.issn.0372-2112.2019.04.006

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Construction of Perfect Gaussian Integer Sequences Based on Cyclotomic Classes

更新时间：2025-07-16

- Construction of Perfect Gaussian Integer Sequences Based on Cyclotomic Classes
- Acta Electronica Sinica Vol. 47, Issue 4, Pages: 806-811(2019)
- 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：
  
  Youth Fund of National Natural Science Foundation of China (No.61201263, No.61601399);Basic Research Project of Yanshan University (No.16LGA009)
- DOI：10.3969/j.issn.0372-2112.2019.04.006
  CLC： TN911.2
- Published Online：25 April 2019，
  
  Published：2019
- 稿件说明：
移动端阅览
LIU Kai, MA Guo-bin, CHEN Pan-pan. Construction of Perfect Gaussian Integer Sequences Based on Cyclotomic Classes[J]. Acta Electronica Sinica, 2019, 47(4): 806-811.
DOI：

LIU Kai, MA Guo-bin, CHEN Pan-pan. Construction of Perfect Gaussian Integer Sequences Based on Cyclotomic Classes[J]. Acta Electronica Sinica, 2019, 47(4): 806-811. DOI： 10.3969/j.issn.0372-2112.2019.04.006.

摘要

完备高斯整数序列（PGIS）应用于扩频通信系统不仅能抑制干扰，而且可以获得高的传速率和频谱利用率，因此本文基于分圆类提出一类与现有PGIS参数不同的奇长度PGIS的构造方法，PGIS的电平数（degree）为2和3，并且利用系数序列和交织方法将奇数长PGIS扩展为偶数长PGIS.在一定条件下，基于分圆类的构造方法，可以获得大量高能量效率PGIS，最大能量效率接近1，这对工程应用具有重要的实际意义，本文的构造结果可为宽带扩频通信系统提供更多的地址选择空间.

Abstract

Perfect Gaussian integer sequences (PGIS) applied to spread spectrum communication systems can not only restrain disturbance

but also obtain high transmission efficiency and spectrum efficiency.Therefore

this paper presents a class of PGIS with odd length and nonzero level (i.e.degree) for 2 and 3 based on cyclotomic classes.Simultaneously

using coefficient sequence and interleaving method

the odd length PGIS is extended to even length PGIS.Under certain conditions

based on the construction method of cyclotomic classes

a large number of high energy efficiency PGIS can be obtained

and the maximum energy efficiency is close to 1

which is of great practical significance to the engineering application.The result of this paper provides more address selection space for broadband spread spectrum communication systems.

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