Abstract
A denoising technique for acoustic signals is analyzed. Previous work derived a methodology where three microphones are assumed to view a single signal field, each under the influence of independent channel noise. Statistical relations are used to determine the coherent acoustic field at each microphone [J. Y. Chung, J. Acoust. Soc. Am. 62, 388–395 (1977)]. The technique is validated using a simulation of a directive acoustic source, specifically a baffled piston, with multiple microphones placed in an arc array in the far field. While the solution is analytically exact for truly incoherent noise, weakly coherent noise is shown to have a significant impact on the technique output. The sensitivity of the denoised output to signal-to-noise ratio and cross-channel noise coherence is studied. In a high-channel-count array, different microphone combinations may be used for the technique. Different microphone selection algorithms are studied to find a rule set most likely to determine the true acoustic signal strength. Outlier rejection is applied to the data and shown to improve simulation results. Additional optimization schemes are applied to the data in an attempt to find alternative methods to three-microphone denoising. [Work partially supported by GE Global Research.]
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