Near-Field Sources Localization in Partly Calibrated Sensor Arrays With Unknown Gains and Phases

In this letter, near-field sources localization in partly calibrated uniform linear arrays (ULAs) with unknown gains and phases is considered. The existing methods generally assume that the array sensor is perfectly calibrated, i.e., the error of gains and phases is not considered. However, in practical applications, the problem of unknown gains and phases generally exists and the performance of these algorithms may decay under the partly calibrated array. Aiming to solve the problem, we propose a new method to estimate the directions of arrival (DOAs) and ranges of near-field sources in partly calibrated ULAs. The proposed method include two steps. First, by making use of symmetric array geometry, a special high-order cumulant matrix is constructed to estimate the DOAs. Then, with the estimated DOAs, the corresponding ranges are estimated by defining the 1-D range function. The proposed method can effectively estimate the DOAs and ranges of near-field sources under unknown gains and phases. Numerical simulation results show the effectiveness of the proposed method.