High-Accuracy DOA Estimation of Coherent Signals Based on the Time-Space Mutual Correlation Smoothing

Xiaoyu Lan;Xiaoshuang Wang;Mingshen Liang;Shuang Ma;Ye Tian
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Abstract

To solve the problem of low estimation accuracy of spatial smoothing algorithm in scenarios of low signal-to-noise ratio (SNR) and small number of snapshots, a high-accuracy direction of arrival (DOA) estimation algorithm of coherent signals based on the time-space mutual correlation smoothing (TSMCS) is proposed in this letter. First, according to the strong correlation of the signal and the weak correlation of the noise in time and space domains, the time-space mutual correlation matrix of different sub-arrays is constructed to suppress the noise. Secondly, a set of high-order covariance matrices is obtained by multiplying all time-space mutual correlation matrices by their respective conjugate transpose, followed by spatial smoothing. Subsequently, TSMCS covariance matrices are meticulously decomposed and reconstructed, resulting in a more comprehensive matrix. Then, the particle swarm optimization (PSO) algorithm is exploited to optimize the signal subspace by adjusting the delay value. Finally, the traditional TLS-estimation signal parameters via the rotational invariance technique (ESPRIT) algorithm are employed to estimate the DOA of coherent signals. Simulation results demonstrate that the proposed algorithm has higher estimation accuracy and resolution.
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基于时空互相关平滑的相干信号高精度 DOA 估算
为了解决空间平滑算法在低信噪比(SNR)和快照数量少的情况下估计精度低的问题,本文提出了一种基于时空互相关平滑(TSMCS)的相干信号到达方向(DOA)高精度估计算法。首先,根据信号在时域和空域的强相关性和噪声的弱相关性,构建不同子阵列的时空互相关矩阵来抑制噪声。其次,将所有时空互相关矩阵乘以各自的共轭转置,然后进行空间平滑处理,得到一组高阶协方差矩阵。随后,对 TSMCS 协方差矩阵进行细致的分解和重构,从而得到一个更全面的矩阵。然后,利用粒子群优化(PSO)算法,通过调整延迟值来优化信号子空间。最后,采用传统的通过旋转不变性技术(ESPRIT)的 TLS 信号参数估计算法来估计相干信号的 DOA。仿真结果表明,所提出的算法具有更高的估计精度和分辨率。
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