In this paper, an algorithm for array shape calibration is proposed. Our method uses two pilot signals. In the proposed method, we assume that the direction of arrival (DOA) of one pilot signal is available, but the DOA of the other is unknown. Then, we estimate the unknown DOA of the pilot signal and the location errors of a microphone array simultaneously. To estimate the unknown parameters, we firstly optimize a cost function derived from the phases of the signal subspace that is obtained from observed signals. The optimal solution obtained from the cost function is a function of the unknown DOA. Second, assuming that the location errors of a microphone array follow the Gaussian distribution, the DOA of the pilot signal is estimated by minimizing the squared sum of the obtained optimal solution. Simulations and the experiment in a real environment validate our algorithm.
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