基于FastICA的DOA估计和阵列误差校正算法

      Direction-of-Arrival Estimation and Sensor Array Error Calibration Based on FastICA

      • 摘要: 针对传感器阵列存在误差导致传统超分辨测向算法性能恶化的问题,本文提出了一种基于FastICA的DOA估计和阵列误差校正方法。该方法首先利用协方差矩阵对角元素特征估计增益误差,其次借助FastICA算法从阵列时域接收数据中分离出由阵列流形矩阵和阵列误差矩阵组成的混合矩阵,将其投影到信号子空间去除伪信号得到真实导向矢量的估计值。再将快拍数据分别斜投影到各真实导向矢量空间,得到各信号单独入射的快拍数据。最后利用子空间正交性谱搜索得到DOA估计值,并在此基础上估计出相位误差。数值仿真验证了所提方法的有效性。该方法DOA估计性能独立于阵列相位误差,校正过程无需额外设置辅助信号源,且避免了经典自校正WF方法中出现的次优收敛问题。

         

        Abstract: In this paper, a new method of DOA estimation and sensor array error calibration based on FastICA is proposed to address the issue of performance deterioration in traditional high-resolution DOA estimation algorithms caused by sensor array error. Our method utilizes the characteristics of the diagonal elements of the covariance matrix to estimate the gain error. The mixing matrix, composed of the array manifold matrix and array error matrix, is extracted from the snapshot samples using the FastICA algorithm. The mixing matrix is then projected onto the signal subspace to eliminate unwanted signals and obtain the true steering vector. The algorithm utilizes the true steering vector to construct an oblique projection operator to acquire the single-component received data. The DOA estimation is obtained through subspace orthogonality spectral search, and the phase error is estimated based on it. This method completes array error calibration without setting calibration sources, and the DOA estimation performance is independent of the array phase error. Moreover, the proposed method avoids the issue of suboptimal convergence that occurs in the WF method. Numerical simulations validate the effectiveness of the proposed method.

         

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