Abstract
In this paper, a microphone is arranged to move along a line at a low speed while collecting sound pressure signals, then the mathematical relation is researched to locate the source and the localization processes are as follows. The collected continuous-time signals are segmented and each segment is transferred to the frequency domain by integral transformation. As a result, according to the Riemann Lebesgue theorem, the interference from the negative frequency term is eliminated, a correlation relationship between the real sound source and virtual sound source (a hypothetical sound source) is set up. By using the formed correlation, the position of the sound source is located by founding the maximum of the inner product module through optimization. Analyzing the details of the segmentation, it is found that the correlation will be enhanced when segment time length is integer multiples of signal's half period, and it benefits the localization accuracy. This method is also extended to more complicated multi-point source identification. Simulation examples and experiments show that the proposed method can locate the sound source. This method uses only one microphone, there is no demanding phase matching and calibration work like the of a microphone array, the cost of use is low.
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