Linear Coprime Sensor Location Arrays: Mutual Coupling Effect and Angle Estimation
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摘要: 该文研究了阵元位置互质的线性阵列(CLA)的互耦分析和角度估计问题。首先，给出了阵元位置互质的线性阵列的定义，证明了其导向矢量是不模糊的。随后，利用高阶累积量，建立了阵列输出信号的3阶张量模型，并通过张量分解得到导向矢量的估计。最后，利用得到的导向矢量估计，推导了一种无模糊的信号角度估计的方法。CLA可将相邻阵元间的间距设计远大于半波长，因此可显著降低阵列互耦效应。通过阻抗匹配互耦模型比较了CLA和常用典型阵列结构的互耦与角度估计性能，表明了CLA的有效性。Abstract: This paper investigates the problems of mutual coupling analysis and angle estimation for linear Coprime sensor Linear Arrays (CLA). Firstly, the CLA is defined. It is proved that the steering vector CLA is unambiguous. Afterwards, based on high-order cumulants, a third-order tensor model of the array output is established. Array steering vectors are subsequently estimated via tensor decomposition. Finally, unambiguous direction estimates are derived from the estimated steering vectors. The sensor spacings of the CLA can be designed as much greater than a half-wavelength, thereby significantly reducing array mutual coupling effect. Using impedance matching mutual coupling model, the mutual coupling effect and angle estimation performance are compared with the existing well-known array configurations to show the effectiveness of the CLA.
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Key words:
- Non-uniform linear arrays /
- Coprime /
- Angle estimation /
- Arrays mutual coupling
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