论文:2015,Vol:33,Issue(5):849-853
引用本文:
叶陈诚, 梁红. 空间欠采样下多个LFM信号方位估计新方法[J]. 西北工业大学学报
Ye Chencheng, Liang Hong. An Effective Method for Estimation of DOAs of Mutiple LFM Signals with Sub-Nyquist Spatial Sampling[J]. Northwestern polytechnical university

空间欠采样下多个LFM信号方位估计新方法
叶陈诚, 梁红
西北工业大学 航海学院, 陕西 西安 710072
摘要:
针对空间欠采样下多个LFM信号方位估计问题,提出了一种基于同时估计多实数的广义稳健中国剩余定理的方位解模糊方法。研究了忽略信号交叉项影响所需的条件及利用广义稳健中国剩余定理对多个LFM信号方位解模糊的原理和方法。仿真实例表明新提出在空间欠采样情况下对多个LFM信号目标同时解方位模糊的方法是有效的,方位估计的精度高,稳健性好。
关键词:    空间欠采样    解模糊    广义稳健中国剩余定理    信号交叉项    多个LFM信号的方位角估计    蒙特卡罗方法   
An Effective Method for Estimation of DOAs of Mutiple LFM Signals with Sub-Nyquist Spatial Sampling
Ye Chencheng, Liang Hong
College of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
Aim. We propose a new approach to estimating DOAs(direction of arrivals) of multiple LFM signals with sub-Nyquist spatial sampling. Sections 1 through 3 explain our method of estimation mentioned in the title, which we believe is effective. In section 1,we analyze the process of estimating DOAs of multiple LFM signals with sub-Nyquist spatial sampling and obtain the condition for ignoring the effect of cross term. In section 2, we brief GRCRT(Generalized Robust Chinese Remainder Theorem) for multiple numbers proposed by us in Ref.4. In section 3, we obtain ambiguous phase differences of multiple LFM signals from several pairs of array antennas with sub-Nyquist spatial sampling; then we apply GRCRT to estimating the real DOA of each LFM signal. Section 4 presents a numerical example; the simulation results, given in Figs. 2, and their analysis show preliminarily that our new approach based on GRCRT for multiple numbers can indeed accurately and robustly estimate DOAs of multiple LFM signals.
Key words:    autocorrelation    direction of arrival    efficiency    errors    estimation    fast Fourier transforms    frequency modulation    mean square error    Monte Carlo methods    sampling    signal to noise ratio    sensor arrays    time delay    wavelength    cross term    GRCRT(generalized robust Chinese remainder Theorem)    LFM(linear frequency modulation)    sub-Nyquist spatial sampling   
收稿日期: 2015-03-24     修回日期:
DOI:
基金项目: 国家自然科学基金(61379007)资助
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作者简介: 叶陈诚(1992—),西北工业大学硕士研究生,主要从事信号处理研究。
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参考文献:
[1] 张艳红,齐林,穆晓敏,陶然. 基于分数阶傅里叶变换的WLFM信号DOA估计[J]. 信号处理,2005,21(4A):57-60 Zhang Yanhong, Qi Lin, Mu Xiaomin, Tao Ran. DOA Estimation of WLFM Signal Based on Fractional Fourier Transform[J]. Signal Processing, 2005, 21(4A):57-60 (in Chinese)
[2] 沈显祥,叶瑞青,唐斌. 基于欠采样的宽带LFM信号参数估计[J]. 电波科学学报,2007,22(1):43-46 Shen Xianxiang, Ye Ruiqing, Tang Bin. An Algorithm for Estimation of Wideband LFM Signal Parameters Based on Sub-Sampling[J]. Chinese Journal of Radio Science, 2007, 22(1):43-46 (in Chinese)
[3] Li Xiaowei, Liang Hong, Xia Xianggen. A Robust Chinese Remainder Theorem with Its Applications in Frequency Estimation from Undersampled Waveforms[J]. IEEE Trans on Signal Processing, 2009, 57(11):4314-4322
[4] Liang Hong, Zhang Heng, Jia Ning. A Generalized Robust Chinese Remainder Theorem for Multiple Numbers and Its Application in Multiple Frequency Estimation with Low Sampling Rates[C]//Proc Int Conf Signal Processing, Communication and Computing,2011
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