Self-calibration of microphone arrays from measurement of Times of Arrival of acoustic signals

In this paper we present a methodology for the self-calibration of microphone arrays using Times of Arrival of acoustic signals produced by acoustic sources. Geometric constraints are derived from the measurements of the Times of Arrival. Microphone locations are then found by combining the geometric constraints. When multiple arrays are present in the acoustic scene, in many applications the knowledge of their mutual positions is required. If a priori information about the geometry of the array is given, the same framework can be easily adapted to infer the mutual positions of the arrays. Some experimental results and simulations prove the accuracy of the current work.