Fast Joint DOA and Inter‐Subarray Errors Estimation in Partly Calibrated Arrays

Abstract

In this paper, we utilize the original noise subspace and its conjugate to reconstruct a new estimator for the fast joint estimation of DOA and inter‐subarray errors in the partly calibrated arrays (PCA), namely fast‐rank‐reduce (F‐RARE). Based on the new estimator, the collection of true DOA estimation and its virtual mirror can be obtained by searching over only half of the total angular field‐of‐view. Then, the true DOA estimation can be selected by using the conventional beamforming (CBF) technique. Additionally, the inter‐subarray errors can also be computed by a finite number of subspace decompositions. Numerical simulation illustrates that compared with the conventional RARE algorithm, the new method can not only reduce the computational burden by a half but also provide a similar estimation accuracy.