ABSTRACT

In this paper, Direction of arrival estimation (DOA) in coprime array is investigated, and an advanced method for DOA estimation is presented with extended coprime array (ECA). Specifically, we use Discrete Fourier Transform (DFT) to obtain initial DOA estimation with large difference co-arrays generated by ECA, then perform Taylor series approximation and total least squares (TLS) method around the initial estimation to compensate the estimation offset. Compared to conventional DFT method, the proposed method enjoys better estimation accuracy with fewer computational burden since it avoids extra searches and benefits more from large difference co-array. Besides, in contrast to spatial smoothing based methods which halve array aperture, the proposed method avoids the process of spatial smoothing and fully utilises uniform degrees of freedom (DOFs). In this case, the proposed method has advantages on estimation accuracy and computational efficiency with multiple impinging signals, especially under the condition of large difference co-array. Furthermore, the proposed method is applicable to other types of advanced coprime array. The superiority of the proposed method has been proved by numerical simulations.

摘要

本文研究了互素阵列中的波达方向估计（DOA），并提出了一种扩展互素阵列（ECA）的DOA估计方法。具体来说，我们使用离散傅里叶变换 (DFT) 来获得由 ECA 生成的大差分协数组的初始 DOA 估计，然后围绕初始估计执行泰勒级数逼近和总最小二乘 (TLS) 方法以补偿估计偏移。与传统的 DFT 方法相比，所提出的方法具有更好的估计精度和更少的计算负担，因为它避免了额外的搜索，并且从大差异 co-array 中受益更多。此外，与将阵列孔径减半的基于空间平滑的方法相比，该方法避免了空间平滑过程，并充分利用了均匀自由度（DOF）。在这种情况下，所提出的方法在多个撞击信号的估计精度和计算效率方面具有优势，特别是在大差异共阵列的情况下。此外，所提出的方法适用于其他类型的高级互质阵列。数值模拟证明了所提方法的优越性。