Study of the Non-Linear Feedback Functions and a Class Subsequence Based on the Root-Functions

LV Hong; ZHANG Ai-xue; FANG Jun-chu; XIE Jian-xia; LI Bing-rong; QI Peng

doi:10.3969/j.issn.0372-2112.2012.10.038

您当前的位置：

首页 >

文章列表页 >

Study of the Non-Linear Feedback Functions and a Class Subsequence Based on the Root-Functions

更新时间：2025-07-16

- Study of the Non-Linear Feedback Functions and a Class Subsequence Based on the Root-Functions
- Acta Electronica Sinica Vol. 40, Issue 10, Pages: 2127-2132(2012)
- 作者机构：
  
  1. 安徽建筑工业学院电子与信息学院,安徽,合肥,230022
  2. 安徽工程大学电气工程学院,安徽,芜湖,241000
  3. 安徽建筑工业学院电子与信息学院,安徽,合肥,230022
  4. 安徽工程大学电气工程学院,安徽,芜湖,241000
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61071001)
- DOI：10.3969/j.issn.0372-2112.2012.10.038
  CLC： TN801
- Published：2012
- 稿件说明：
移动端阅览
LV Hong, ZHANG Ai-xue, FANG Jun-chu, et al. Study of the Non-Linear Feedback Functions and a Class Subsequence Based on the Root-Functions[J]. Acta Electronica Sinica, 2012, 40(10): 2127-2132.
DOI：

LV Hong, ZHANG Ai-xue, FANG Jun-chu, et al. Study of the Non-Linear Feedback Functions and a Class Subsequence Based on the Root-Functions[J]. Acta Electronica Sinica, 2012, 40(10): 2127-2132. DOI： 10.3969/j.issn.0372-2112.2012.10.038.

摘要

针对非线性最大长度移位寄存器反馈函数难以构造问题

本文提出了一种基于母函数构造非线性最大长度移位寄存器反馈函数方法.首先

我们阐述了母函数模3分类法

证明了各类母函数新的特征状态集

提取了母函数的特征式;其次

根据特征式对母函数的筛分特性合成了非线性m子序列移位寄存器反馈函数;最后

分析了该移位寄存器生成的伪随机序列

对其自相关值和线性复杂度进行了大量搜索.结果一致表明该序列不仅具有良好的周期特性、平衡特性、游程特性

还具有尖锐的自相关特性和理想的线性复杂度.

Abstract

To solve the problem of constructing feedback functions of non-linear maximal length shift registers (NMLSR)

the method to construct the feedback functions for NMLSR was proposed based on root function.First of all

we expatiated the classification method of the root functions modulo 3

proveded the characteristic state sets of the root functions and extracted the eigenfunctions of the root functions.Secondly

we synthesized the feedback function for the nonlinear m subsequence shift register according to the filter of the eigenfunctions on the root functions.Finally

we conducted a great number of calculations and analyses for new type sequences generated from the nonlinear m subsequence shift registers.The results show unanimously that the nonlinear m subsequences dose not only possess better period property

balance property and run-path property

but also the sharp autocorrelation property and the ideal linear complexity.

关键词

Keywords

references

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Constuction and Analyysis of a Class Non-linear Spread Spectrum Sequence

ISM:Intent-Perceptible Service Migration Model for IP Network Survivability

Construction of First Class of m Subsequences

Related Author

Hong

QI Peng

DUAN Ying-ni

CHEN Wan-li

XIE Jian-xia

ZHANG Dan

LONG Ke-ping

Related Institution

Department of Electronic and Information Engineering, Anhui Jianzhu Uuiversity

Xi'an College of Arts and Science

Department of Electronic and Information Engineering Anhui Jianzhu Uuiversity Hefei Anhui China

Xi'an College of Arts and Science Xi'an China

. InstituteThe Second Academy of China AerospaceBeijing 100854China

⁰