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Array shape calibration using carry-on instrumental sensors

A novel and efficient method for calibrating a sensor array with position uncertainties is proposed in this paper. The method is based on two non-disjoint sources in unknown directions and three carry-on instrumental sensors. It can be applied to arbitrary array geometries including linear arrays. Besides, no small position error assumption is made, which is always an essential prerequisite for many existing array shape calibration techniques. The new method achieves a favorable array shape calibration just using a one-dimensional search, with no high-dimensional nonlinear search and convergence burden involved. It is also possible to extend the proposed idea to tackle the problem of direction dependent gain and phase uncertainties. Simulation results are provided to demonstrate the effectiveness and behavior of the proposed method.