论文:2014,Vol:32,Issue(1):86-92
引用本文:
李明杨, 孙超, 刘宗伟, 易锋, 李芮. 相干干扰下窄带信号检测统计处理与阵列处理的一致性研究[J]. 西北工业大学
Li Mingyang, Sun Chao, Liu Zongwei, Yi Feng, Li Rui. Consistency Research between Statistical Processing and Array Processing for Detection of Narrowband Signals in Presence of a Coherent Interferer[J]. Northwestern polytechnical university

相干干扰下窄带信号检测统计处理与阵列处理的一致性研究
李明杨, 孙超, 刘宗伟, 易锋, 李芮
西北工业大学 航海学院, 陕西 西安 710072
摘要:
针对使用均匀线列阵时相干干扰背景下窄带信号的检测问题,理论证明了分别从统计信号处理和阵列信号处理角度提出的准最佳检测器之间的一致性,并将从统计信号处理角度推导得到的检验统计量所服从的统计分布中含有的非中心参量与阵列处理中阵增益联系起来,建立了2种信号处理方式中参量之间的相互关系。通过计算机仿真研究了2种检测器的检测性能,仿真结果验证了2种检测器一致性的结论。针对不同的阵元个数以及目标方位(干扰方位固定),研究了该检测器的检测性能,得到了如下结论:(1)对于给定的干扰方位,当目标信号由其临界区间内入射(由上下临界值构成)时,随着目标信号逐步靠近干扰信号,检测概率将逐渐下降;若由该区域外入射时,检测概率将保持相对稳定。同时,本文给出了针对均匀线列阵目标方位临界值的计算公式;(2)当均匀线列阵阵元个数较多时,目标与干扰可以比阵元个数较少时更为接近而不至于损失检测性能。
关键词:    相干干扰    窄带信号    广义似然比检验    波束形成器    一致性    临界值   
Consistency Research between Statistical Processing and Array Processing for Detection of Narrowband Signals in Presence of a Coherent Interferer
Li Mingyang, Sun Chao, Liu Zongwei, Yi Feng, Li Rui
College of Marine Engineering, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
The detection problem of a narrowband signal in the presence of a single coherent interferer is studied in the perspectives of statistical and array signal processing respectively,corresponding with the method of Generalized Likelihood Ratio Test(GLRT) and the way to change the beamformer to derive for the suboptimum detector. The consistency between statistical processing and array processing for the given problem is proved via theoretical derivations and numerical simulations in this paper. The noncentrality parameter of the statistical distribution,which the test statistic derived in the statistical processing follows,is positively correlated to the array gain. The detectors for the given problem,derived respectively in two different processing views,thus converge to be one. Its detection performance is studied by computer simulations,considering the target of varied bearings and different element number of uniform linear array(ULA) respectively,both with a constant interference bearing. From the simulation results and their analysis,the conclusions can be drawn:(1) the detection performance will increasingly decrease as the target approaches the interferer increasingly when the target signal incident between the upper critical bearing and the lower one; otherwise,the detection performance will remain relatively constant; the formula for the two critical bearings is derived specifically for the ULA;(2) the bearings of the target and interference can be relatively closer without worsening the detection performance when more elements used.
Key words:    array processing    beamforming    computer simulation    detectors    interference suppression    mathematical models    matrix algebra    maximum likelihood estimation    Monte Carlo methods    optimization    probability distribution    signal to noise ratio    statistical methods    coherent interference    consistency    critical bearing    detection performance    GLRT    narrowband signal   
收稿日期: 2013-04-25     修回日期:
DOI:
基金项目: 国家自然科学基金(11274252);2012届西北工业大学本科毕业设计重点扶持项目资助
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作者简介: 李明杨(1989-),西北工业大学博士研究生,主要从事水声信号处理研究。
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