High-Resolution Subspace-Based Method for Direction-of-Arrival Estimation without Eigendecomposition

摘要

In this paper, we propose a new computationally efficient subspace-based method without eigendecomposition (SUMWE) for the coherent narrowband signals impinging on a uniform linear array (ULA) by exploiting the array geometry and its shift invariance property. The SUMWE does not require the computationally cumbersome eigendecomposition and the evaluation of all correlations of the array data, and the effect of additive noise is eliminated. Furthermore, the SUMWE is also suitable for the case of partly coherent or incoherent signals, and it can be extended to the spatially correlated noise by choosing appropriate subarrays. The statistical analysis of the SUMWE is studied, and the asymptotic mean-squared-error (MSE) expression of the estimation error is derived. The performance of the SUMWE is demonstrated and the theoretical analysis is substantiated through numerical examples.