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

L; Hong; QI Peng; DUAN Ying-ni; CHEN Wan-li; XIE Jian-xia

doi:10.3969/j.issn.0372-2112.2013.10.010

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

更新时间：2025-07-16

- Constuction and Analyysis of a Class Non-linear Spread Spectrum Sequence
- Acta Electronica Sinica Vol. 41, Issue 10, Pages: 1939-1943(2013)
- 作者机构：
  
  1. 安徽建筑大学电子与信息学院,安徽,合肥,230022
  2. 西安文理学院,陕西,西安,710065
  3. 安徽建筑大学电子与信息学院,安徽,合肥,230022
  4. 西安文理学院,陕西,西安,710065
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61071001, No.61372094)
- DOI：10.3969/j.issn.0372-2112.2013.10.010
  CLC： TN801TN914
- Published：2013
- 稿件说明：
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L, Hong, QI Peng, et al. Constuction and Analyysis of a Class Non-linear Spread Spectrum Sequence[J]. Acta Electronica Sinica, 2013, 41(10): 1939-1943.
DOI：

L, Hong, QI Peng, et al. Constuction and Analyysis of a Class Non-linear Spread Spectrum Sequence[J]. Acta Electronica Sinica, 2013, 41(10): 1939-1943. DOI： 10.3969/j.issn.0372-2112.2013.10.010.

摘要

基于本原三项式线性函数

构造了一类非线性序列.首先根据非线性序列生成规律

借助逻辑代数理论

推导并提取了非线性序列特征函数

利用特征函数筛分作用

合成了非线性反馈函数

据此实现了非线性序列生成.最后

对该类非线性序列特性进行了分析和计算

并将其应用于直接序列码分多址通信系统(DS-CDMA)仿真实验中

结果表明该类非线性序列不仅具有理想的伪随机特性、良好的线性复杂度

还具有优于m序列、gold序列的误码率.

Abstract

In this thesis

we proposed a method to construct the feedback functions of the nonlinear shift registers based on three items' primary polynomial.First of all

we proved the characteristic state sets of the linear feedback shift registers with the feedback functions of three items' primary polynomial

we extracted its eigenfunction and synthesized the feedback function for the nonlinear shift register.Secondly

we implemented the non-linear feedback shift register on FPGA.Finally

we conducted analyses and calculations for new sequences generated by the nonlinear shift registers and simulated the sequences in direct sequence spread spectrum code division multiple access communication system(DS-CDMA).The results show unanimously that the new sequences dose not only possess ideal pseudorandom property and better linear complexity

but also get lower bit error rate(BER) than m sequence or gold sequence in the same communication system.

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Related Author

QI Peng

LI Bing-rong

XIE Jian-xia

FANG Jun-chu

ZHANG Ai-xue

LV Hong

MIAO Peng

XU Duo

Related Institution

Department of Electrical Engineering Anhui polytechnic University Wuhu Anhui China

Department of Electronic and Information Engineering Anhui Institute of Architecture and Industry Hefei Anhui China

Department of Electrical Engineering, Anhui polytechnic University

Department of Electronic and Information Engineering, Anhui Institute of Architecture and Industry

Institute of RF- and OE-ICs,Southeast University

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