Spatial-Temporal 2-D DOA Estimation Based on Rank-Reduction

This letter proposes a two-dimensional direction-of-arrival (2-D DOA) estimation method for conjugate augmented spatial-temporal L-shaped arrays based on the rank-reduction principle. The basic idea of the proposed method is to utilize the spatial-temporal 2-D structure of the data received by the array and the conjugate symmetry of the signal delay auto-correlation function to construct a conjugate augmented spatial-temporal cross-correlation matrix. Then, the properties of the matrix Kronecker product can be utilized to decouple the steering vector of the 2-D angle of arrival and utilize the rank-reduction and one-dimensional spectral peak search to automatically pair the 2-D DOA. The proposed method can handle the 2-D angle-estimation problem under underdetermined cases, and the effectiveness of the proposed method was verified by computer simulations.