An inverse technique, based on the time-domain equivalent source method, is presented for the location of rotating sound sources by a microphone array. In contrast to other inverse techniques which are formulated in the frequency domain, this technique works completely in the time domain and allows the real-time location of sources. Compared to the known time-domain rotating beamforming that employs the advanced time approach, this technique adopts the retarded time approach where the receiver time is discretized to solve the emission time, thus providing the ability of real-time location of sources. Moreover, since the measured pressure is considered as the sum of the contributions from all source positions at the specified receiver time in the retarded time approach, the interpolation of measured pressure, necessary for the time-domain rotating beamforming, is not required in the present technique any more. Numerical simulation with two rotating monopoles as the located sources examines the validity of the present technique and demonstrates its advantages compared to the time-domain rotating beamforming.
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