论文:2014,Vol:32,Issue(6):882-887
引用本文:
冯西安, 张杨梅, 苏建军. 基于Costas编码脉冲串的低截获声呐波形设计方法[J]. 西北工业大学学报
Feng Xi'an, Zhang Yangmei, Su Jianjun. Waveform Design for Low Interception Active Sonar Based on Costas Sequence[J]. Northwestern polytechnical university

基于Costas编码脉冲串的低截获声呐波形设计方法
冯西安1, 张杨梅1, 苏建军2
1. 西北工业大学 航海学院, 陕西 西安 710072;
2. 91388 部队, 广东 湛江 524022
摘要:
针对声呐低截获波形设计,提出了一种基于有限域理论的Costas编码脉冲串跳频信号构建方法。该方法根据整数集合生成有限域的充分性定理和有限域中本原元的存在性定理,在给定素数p的条件下,构造了包含p个元素的有限域,给出了该有限域中本原元的求解方法以及递推公式,该方法可以通过大数值模除运算来构造高阶次Costas阵列。实验结果表明,基于有限域理论的Costas编码脉冲串跳频信号具有较小的非循环互相关系数和"图钉"状的模糊度函数,具有好的多普勒频率分辨率和时延分辨率,对于低截获声呐设计具有重要的实用价值。
关键词:    信号处理技术    Costas编码信号    波形设计    有限域    本原元    声呐低截获信号   
Waveform Design for Low Interception Active Sonar Based on Costas Sequence
Feng Xi'an1, Zhang Yangmei1, Su Jianjun2
1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China;
2. 91388 Unit PLA, Zhanjiang 524022, China
Abstract:
Based on the analysis of the demand of sonar signal waveform design,Doppler frequency resolution anddelay resolution,we design a frequency hopping coded signal based on Costas sequence for detecting underwatertarget while maintaining low interception probability for active sonar. A construction method based on finite fields forgenerating Costas sequence is also proposed. According to a sufficient theorem of generating a finite field by integerset and an existence theorem of primitive elements in this finite field,a finite field with p elements is constructedwith a given prime number p. Primitive elements in this finite field are calculated by procedures and recurrence for-mula listed in this paper. High-order Costas sequence can also be obtained by using large number modulo operationbased on this method. Computer simulation results and their analysis show preliminarily that frequency hopping Cos-tas sequence coded signal based on finite field theory has small acyclic cross-correlation coefficient and pushpinshaped ambiguity function. Because of its good Doppler frequency resolution and time delay resolution, this signal isof practical importance in LPI sonar design.
Key words:    broadband networks    calculations    computer simulation    design    encoding (symbols)    probability    signal processing    sonar    target tracking    time delay    Costas coded signal    finite field    LPI signal    primitive element    waveformdesign   
收稿日期: 2014-04-21     修回日期:
DOI:
基金项目: 国家自然科学基金(61271414)资助
通讯作者:     Email:
作者简介: 冯西安(1962-),西北工业大学博士生导师,主要从事水声信号处理、鱼雷自导方面的研究。
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参考文献:
[1] 李志舜. 鱼雷自导信号与信息处理[M]. 西安:西北工业大学出版社,2004Li Zhishun. Torpedo Homing Signal and Information Processing[M]. Xi'an,Northwestern Polytechnical University Press,2004(in Chinese)
[2] 何惠江,刘军凯,刘雪辰,梁志君. 声呐低截获技术方法与策略研究[J]. 鱼雷技术,2010,18(2): 99-103He Huijiang,Liu Junkai, Liu Xuechen, Liang Zhijun. Techniques for Low Probability of Intercept Sonar[J]. Torpedo Technolo-gy,2010,18(2): 99-103 (in Chinese)
[3] Costas J P. Medium Constraints on Sonar Design and Performance[R]. General Electric Company Tech Rep,Class 1Rep,R65EMH33
[4] Costas J P. A Study of a Class of Detection Waveforms Having Nearly Ideal Range—Doppler Ambiguity Properties[J]. Pro-ceedings of the IEEE,1984,72(8): 996-1009
[5] Golomb S W,Taylor H. Constructions and Properties of Costas Arrays[J]. Proceedings of the IEEE, 1984, 72(9): 1143-1163
[6] Golomb S W. Algebraic Constructions for Costas Arrays[J]. Journal of Combinatorial Theory,Series A,1984,37(1): 13-21
[7] Beard J K,Russo J C,Erickson K G,et al. Costas Array Generation and Search Methodology[J]. IEEE Trans on Aerospaceand Electronic Systems,2007,43(2): 522-538
[8] Diaz D,Richoux F, Caniou Y, et al. Parallel Local Search for the Costas Array Problem[C] ∥Parallel and Distributed Process-ing Symposium Workshops & PhD Forum (IPDPSW),Shanghai,China,2012: 1793-1802
[9] Arce-Nazario R A,Ortiz-Ubarri J R. Enumeration of Costas Arrays Using GPUs and FPGAs[C] ∥International Conference onReconfigurable Computing and FPGAs,Cancun,Quintana Roo Mexico,2011: 462-467
[10] Drakakis K,Rickard S,Beard J K,et al. Results of the Enumeration of Costas Arrays of Order 27[J]. IEEE Trans on Informa-tion Theory, 2008,54(10): 4684-4687
[11] Drumheller D M,Titlebaum E L. Cross-Correlation Properties of Algebraically Constructed Costas Arrays[J]. IEEE Trans onAerospace and Electronic Systems,1991,27(1): 2-10
[12] Beard J K. Costas Array Generator Polynomials in Finite Fields[C] ∥42nd Annual Conference on Information Sciences and Sys-tems,2008: 1246-1251
[13] Drakakis K, Iorio F, Rickard S, Walsh J. Results of the Enumeration of Costas Arrays of Order 29[J]. Advances in Mathematicsof Communications, 2011, 5 (3): 547-553
[14] Drakakis K. On the Hops Present in Costas Permutations[J]. IEEE Trans on Information Theory,2010,56(3): 1271-1277
[15] 牟善祥,纪小利,徐光进. Costas 阵列编码与线性调频 SFR 信号分析[J]. 现代雷达,2003,25(10): 31-35Mo Shanxiang,Ji Xiaoli,Xu Guangjin. Analysis of Coding with Costas arrays and LFM-SFR Signal[J]. Modern Radar,2003,25(10): 31-35 (in Chinese)