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论文:2014,Vol:32,Issue(6):882-887 |
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引用本文: |
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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 |
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Feng Xi'an, Zhang Yangmei, Su Jianjun. Waveform Design for Low Interception Active Sonar Based on Costas Sequence[J]. Northwestern polytechnical university |
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基于Costas编码脉冲串的低截获声呐波形设计方法 |
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冯西安1, 张杨梅1, 苏建军2 |
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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
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Waveform Design for Low Interception Active Sonar Based on Costas Sequence |
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Feng Xi'an1, Zhang Yangmei1, Su Jianjun2 |
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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
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收稿日期: 2014-04-21
修回日期:
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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: |
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