Array calibration for facilitating direction finding with beamspace high-resolution algorithm

The beamspace high-resolution algorithm is generally acknowledged to be effective except that it is sensitive to array model errors, sometimes leading to its becoming ineffective. We now present an array calibration technique that is easy to apply and can, we believe, always ensure the effectiveness of the algorithm despite array model errors. In the full paper, we explain the array calibration technique in detail; in this abstract, we just add some pertinent remarks to the two topics of explanation: (1) beamspace high-resolution MUSIC algorithm and (2) the array calibration technique based on measured array manifold; in topic 1, eqs. (1) through (9) in the full paper are taken from the open literature; the subtopics of topic 2 are the calculation of measured array manifold (subtopic 2.1) and array error calibration technique (subtopic 2.2); in subtopic 2.1, we calculate the measured array manifold with eqs. (10), (11) and (12) in the full paper taken from the open literature; in subtopic 2.2, we use eq. (14) in the full paper derived by us to calculate the calibration matrix, which is then used to compensate for array model errors. Experimental results on the effectiveness of our array error calibration are given in Figs.4 and 5 in the full paper. Fig.4 shows that two incident signals reasonably apart originally can be clearly distinguished from each other. Fig.5(a) shows that probability of resolution can be appreciably raised. Fig.5(b) shows that bias of DOA (Direction of Arrival) estimation can be appreciably lowered.