On the application of the global matched filter to DOA estimation with uniform circular arrays

The problem of estimating the direction of arrivals (azimuths) of narrow-band sources impinging on a uniform circular array is considered. We present a method that uses as input the values of a small number of uniformly spaced beams and apply a model-fitting approach taking into account the statistical properties of the beams. The approach called the "global matched filter" fits simultaneously to the observations all the elements needed to explain them. It chooses among all the potential representations the one with minimal energy. The method drastically improves upon the conventional beamformer and has a performance comparable to the best high resolution techniques. It further applies when the number of sources exceeds the number of sensors, a situation that cannot be handled by standard high resolution techniques.