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首页> 外文期刊>Mathematical Problems in Engineering >DOA and Noncircular Phase Estimation of Noncircular Signal via an Improved Noncircular Rotational Invariance Propagator Method
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DOA and Noncircular Phase Estimation of Noncircular Signal via an Improved Noncircular Rotational Invariance Propagator Method

机译：改进的非圆旋转不变传播器方法对非圆信号的DOA和非圆相位估计

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摘要

We consider the computationally efficient direction-of-arrival (DOA) and noncircular (NC) phase estimation problem of noncircular signal for uniform linear array. The key idea is to apply the noncircular propagator method (NC-PM) which does not require eigenvalue decomposition (EVD) of the covariance matrix or singular value decomposition (SVD) of the received data. Noncircular rotational invariance propagator method (NC-RI-PM) avoids spectral peak searching in PM and can obtain the closed-form solution of DOA, so it has lower computational complexity. An improved NC-RI-PM algorithm of noncircular signal for uniform linear array is proposed to estimate the elevation angles and noncircular phases with automatic pairing. We reconstruct the extended array output by combining the array output and its conjugated counterpart. Our algorithm fully uses the extended array elements in the improved propagator matrix to estimate the elevation angles and noncircular phases by utilizing the rotational invariance property between subarrays. Compared with NC-RI-PM, the proposed algorithm has better angle estimation performance and much lower computational load. The computational complexity of the proposed algorithm is analyzed. We also derive the variance of estimation error and Cramer-Rao bound (CRB) of noncircular signal for uniform linear array. Finally, simulation results are presented to demonstrate the effectiveness of our algorithm.
机译：对于均匀线性阵列，我们考虑了非圆形信号的计算有效到达方向（DOA）和非圆形（NC）相位估计问题。关键思想是应用非圆形传播器方法（NC-PM），该方法不需要协方差矩阵的特征值分解（EVD）或接收数据的奇异值分解（SVD）。非圆旋转不变传播器方法（NC-RI-PM）避免了在PM中进行谱峰搜索，并且可以获得DOA的闭式解，因此具有较低的计算复杂度。提出了一种改进的均匀圆阵列非圆信号NC-RI-PM算法，用于自动配对估计仰角和非圆相位。我们通过组合数组输出及其共轭对应项来重建扩展数组输出。我们的算法充分利用改进的传播矩阵中的扩展数组元素，通过利用子数组之间的旋转不变性来估计仰角和非圆形相位。与NC-RI-PM相比，该算法具有更好的角度估计性能和更低的计算量。分析了该算法的计算复杂度。我们还导出了均匀线性阵列的非圆形信号的估计误差和Cramer-Rao界（CRB）的方差。最后，仿真结果表明了该算法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第7期|235173.1-235173.12|共12页
  • 作者

    Chen Xueqiang; Wang Chenghua; Zhang Xiaofei;

  • 作者单位

    Nanjing Univ Aeronaut & Astronaut, Coll Elect & Informat Engn, Nanjing 210016, Peoples R China.;

    Nanjing Univ Aeronaut & Astronaut, Coll Elect & Informat Engn, Nanjing 210016, Peoples R China.;

    Nanjing Univ Aeronaut & Astronaut, Coll Elect & Informat Engn, Nanjing 210016, Peoples R China.;

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