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首页> 外文期刊>Mathematical Problems in Engineering >Efficient Two-Dimensional Direction Finding via Auxiliary-Variable Manifold Separation Technique for Arbitrary Array Structure
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Efficient Two-Dimensional Direction Finding via Auxiliary-Variable Manifold Separation Technique for Arbitrary Array Structure

机译：通过辅助变量流形分离技术对任意阵列结构进行有效的二维方向寻找

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摘要

A polynomial rooting direction of arrival (DOA) algorithm for multiple plane waves incident on an arbitrary array structure that combines the multipolynomial resultants and matrix computations is proposed in this paper. Firstly, a new auxiliaryvariable manifold separation technique (AV-MST) is used to model the steering vector of arbitrary array structure as the product of a sampling matrix (dependent only on the array structure) and two Vandermonde-structured wavefield coefficient vectors (dependent on the wavefield). Then the propagator operator is calculated and used to form a system of bivariate polynomial equations. Finally, the automatically paired azimuth and elevation estimates are derived by polynomial rooting. The presented algorithm employs the concept of auxiliary-variable manifold separation technique which requires no sector by sector array interpolation and thus does not suffer from any mapping errors. In addition, the new algorithm does not need any eigenvalue decomposition of the covariance matrix and exhausted search over the two-dimensional parameter space. Moreover, the algorithm gives automatically paired estimates, thus avoiding the complex pairing procedure. Therefore, the proposed algorithm shows low computational complexity and high robustness performance. Simulation results are shown to validate the effectiveness of the proposed method.
机译：本文提出了一种将多个平面波入射到任意阵列结构上的多项式生根到达方向（DOA）算法，该算法结合了多项式结果和矩阵计算。首先，一种新的辅助可变流形分离技术（AV-MST）用于对任意阵列结构的转向矢量进行建模，该矢量是采样矩阵（仅取决于阵列结构）和两个范德蒙德结构波场系数矢量（取决于波场）。然后，计算传播算子并将其用于形成双变量多项式方程组。最后，通过多项式求根推导自动配对的方位角和仰角估算值。提出的算法采用了辅助变量流形分离技术的概念，该技术不需要逐个扇区的阵列插值，因此不会遭受任何映射误差。另外，新算法不需要对协方差矩阵进行任何特征值分解，也不需要在二维参数空间上进行穷举搜索。此外，该算法会自动给出配对估计，从而避免了复杂的配对过程。因此，该算法具有较低的计算复杂度和较高的鲁棒性。仿真结果表明了该方法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第4期|740513.1-740513.7|共7页
  • 作者

    Hua Guang; Wu Jiu-Dong; Zhu Xi-Cheng; Zhou Hou-Xing; Hong Wei;

  • 作者单位

    Southeast Univ, State Key Lab Millimeter Waves, Nanjing 210096, Jiangsu, Peoples R China.;

    Southeast Univ, State Key Lab Millimeter Waves, Nanjing 210096, Jiangsu, Peoples R China.;

    Southeast Univ, State Key Lab Millimeter Waves, Nanjing 210096, Jiangsu, Peoples R China.;

    Southeast Univ, State Key Lab Millimeter Waves, Nanjing 210096, Jiangsu, Peoples R China.;

    Southeast Univ, State Key Lab Millimeter Waves, Nanjing 210096, Jiangsu, Peoples R China.;

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