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基于分数阶傅里叶变换的宽带LFM相干信号二维DOA估计
引用本文:刘小河,王建英,郭洋,唐星,李春来.基于分数阶傅里叶变换的宽带LFM相干信号二维DOA估计[J].数据采集与处理,2010,25(3).
作者姓名:刘小河  王建英  郭洋  唐星  李春来
作者单位:1. 电子科技大学成都学院,成都,611731;西南交通大学信息科学与技术学院,成都,610031
2. 西南交通大学信息科学与技术学院,成都,610031
摘    要:在分数阶傅里叶(FRF)域从离散角度推导了二维DOA估计数学模型,并在此模型基础上提出基于分数阶Fourier变换的二维相干信号DOA估计新算法.该方法利用分数阶傅里叶变换良好的能量聚集性,在分数阶傅里叶(FRF)域构造前后向空间平滑DOA矩阵.通过对DOA矩阵进行特征值分解,估计信号子空间和噪声子空间,由信号子空间的特征值和特征向量得到宽带LFM相干信号的二维到达角,避免了二维谱峰搜索和交叉项,也无需参数配对.理论推导与实验仿真验证了算法的有效性.

关 键 词:分数阶傅里叶变换  波达方向估计  DOA矩阵  空间平滑

2-D DOA Estimation of Coherent Wideband LFM Sources Based on Fractional Fourier Transform
Liu Xiaohe,Wang Jianying,Guo Yang,Tang Xing,Li Chunlai.2-D DOA Estimation of Coherent Wideband LFM Sources Based on Fractional Fourier Transform[J].Journal of Data Acquisition & Processing,2010,25(3).
Authors:Liu Xiaohe  Wang Jianying  Guo Yang  Tang Xing  Li Chunlai
Affiliation:Liu Xiaohe1,2,Wang Jianying2,Guo Yang2,Tang Xing2,Li Chunlai2(1.Chengdu College of University of Electronic Science , Technology of China,Chengdu,611731,China,2.School of Information Science & Technology,Southwest Jiaotong University,610031,China)
Abstract:A discrete mathematical model of two-dimensional(2-D) direction of arrival(DOA) is established in fractional Fourier(FRF) domain.Based on the model,a new method for 2-D DOA estimation of coherent wideband linear frequency modulated(LFM) sources is proposed.Using the energy-concentrated property of LFM signal,the forward/backward spatial smoothed DOA matrix is formed in the FRF domain.Then,the signal and noise subspaces are estimated with the eigen-decomposition of the smoothed DOA matrix.Through eigenvalues...
Keywords:fractional Fourier transform  direction of arriveal estimation  DOA matrix  spatial smoothing  
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