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2-D DOA Estimation of LFM Signals based on Sparse Representation in Fractional Fourier Domain

机译:基于分数傅里叶域中稀疏表示的LFM信号的2-D DOA估计

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For the problem of two dimensional direction of arrival (2-D DOA) estimation of Liner Frequency Modulated (LFM) signals, a novel 2-D DOA estimation method is proposed based on sparse representation in fractional Fourier domain. First, utilizing the energy-concentrated characteristic of fractional Fourier transform for LFM signals, the redundant dictionaries based on the space angles are established in fractional Fourier domain. Then the space angles can be estimated by sparse recovery algorithm respectively. Finally, the azimuth and elevation angles are calculated through the estimated space angles. The proposed method has a better estimation precision, high-resolution performance and lower SNR threshold without multidimensional search process. The validity of the proposed method is verified by theoretic analysis and simulation results.
机译:对于衬里频率调制(LFM)信号的二维到达方向(2-D DOA)估计的问题,基于分数傅里叶域中的稀疏表示,提出了一种新的2-D DOA估计方法。首先,利用用于LFM信号的分数傅立叶变换的能量集中特性,基于空间角度的冗余词典在分数傅立叶域中建立。然后可以分别通过稀疏恢复算法估计空间角度。最后,方位角和仰角通过估计的空间角度计算。该方法具有更好的估计精度,高分辨率性能和较低的SNR阈值而无需多维搜索过程。通过理论分析和仿真结果验证了所提出的方法的有效性。

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