A calibration algorithm for gain and phase errors of array sensors based on a single nonlinear constraint

A new calibration algorithm needing one calibration source is presented to estimate the gains and phases of uniform circular array. Firstly, the data collection is done by laying assistant source in different direction. Then the cost function is present by using the signal subspace vector and noise subspace vector of data covariance matrix. Under the nonlinear constraint, the union estimation of DOA of assistant source and the gains and phases of uniform circular array are given by iterative operation. The algorithm does not need to know the direction of assistant source. Simulations show validity of the algorithm.