一种基于Costas序列的多输入多输出声纳正交发射信号集设计方法

doi:10.3969/j.issn.1000-1093.2019.08.017

兵工学报 ›› 2019, Vol. 40 ›› Issue (8): 1680-1687.doi: 10.3969/j.issn.1000-1093.2019.08.017

一种基于Costas序列的多输入多输出声纳正交发射信号集设计方法

贾基东^1,2,3，李淑秋^1,3，高善国^1,3

(1.中国科学院声学研究所，北京 100190; 2.中国科学院大学电子电气与通信工程学院，北京 100049;3.中国科学院先进水下信息技术重点实验室，北京 100190）

收稿日期:2018-10-08 修回日期:2018-10-08 上线日期:2019-10-15
通讯作者: 李淑秋（1963—），女，研究员，博士生导师 E-mail:lsq@mail.ioa.ac.cn
作者简介:贾基东（1992—），男，博士研究生。E-mail:562035286@qq.com
基金资助:
国家自然科学基金项目（11504402）

A Design of an Orthogonal Set of Transmitting Waveforms of MIMO Sonar Based on Costas Sequence

JIA Jidong^1,2,3, LI Shuqiu^1,3, GAO Shanguo^1,3

(1.Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China; 2.School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China; 3.Key Laboratory of Science and Technology on Advanced Underwater Acoustic Signal Processing, Chinese Academy of Sciences, Beijing 100190, China)

Received:2018-10-08 Revised:2018-10-08 Online:2019-10-15

摘要/Abstract

摘要： 寻找一组宽带正交发射信号集对多输入多输出（MIMO）声纳探测至关重要，信号集的正交性能好坏直接影响着MIMO声纳的探测效能。按照Costas序列编码的跳频信号具有近似理想的自模糊函数，但同一有限域构造的不同Costas跳频信号间并不总具有理想的正交性。基于有限域理论提出了一种本原元的搜索方法，利用安全素数的本原元设计了一组正交性最优的MIMO声纳正交发射信号集。仿真结果表明，对于1 000以内的素数，基于安全素数的有限域构造的正交跳频信号集不仅具有最优的正交性，还能取得最大的信号集大小。

关键词: 多输入多输出声纳, Costas序列, 跳频信号, 安全素数, 本原元, 正交性

Abstract: It’s important to find an orthogonal set of transmitting waveforms of MIMO sonar, and the orthogonality of signal set has a direct affect on the detection efficiency of MIMO sonar. The frequency-hopped signal based on a Costas sequence has a nearly ideal range-Doppler ambiguity function, however, the different frequency-hopped signals constructed by different primitive elements of a finite field are not always orthogonal. A search method for primitive elements is proposed based on the finite field theory, and an optimal orthogonal set of transmitting waveforms is designed based on the primitive elements of safe primes. The simulated results show that a set of transmitting waveforms made from a safe prime, which is less than 1 000, has not only the best orthogonality but also the maximum number of signals. Key

Key words: multiple-input-multiple-outputsonar, Costassequence, frequency-hoppedsignal, safeprime, primitiveelement, orthogonality

中图分类号:

TB566

贾基东，李淑秋，高善国. 一种基于Costas序列的多输入多输出声纳正交发射信号集设计方法[J]. 兵工学报, 2019, 40(8): 1680-1687.

JIA Jidong, LI Shuqiu, GAO Shanguo. A Design of an Orthogonal Set of Transmitting Waveforms of MIMO Sonar Based on Costas Sequence[J]. Acta Armamentarii, 2019, 40(8): 1680-1687.

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一种基于Costas序列的多输入多输出声纳正交发射信号集设计方法

A Design of an Orthogonal Set of Transmitting Waveforms of MIMO Sonar Based on Costas Sequence

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