Separation of an acoustic signal from noise via the use of point pressure and velocity measurements

The separation of an acoustic plane wave signal from noise via the use of pressure and velocity measurements at a point is investigated using a time domain and Fourier transform approach. The noise is assumed to originate from a compact source at a known location. A time domain analysis of the separation method for the deterministic signal problem is first presented. A spectral analysis which provides additional insight into the method is then presented. An analysis of the sensitivity of the signal separation method to processor errors including quantization errors and extraneous uncorrelated sensor noise is also presented. Numerical results for some simple examples illustrate the use of a digital signal processor for separating signal from narrow-band and broadband noise. The sensitivity of the signal separation method to processor errors including numerical differentiation and quantization errors is simply illustrated via the examples. In addition, the sensitivity of the separation method to the noise source/sensor separation distance is also presented. (C) 1999 Acoustical Society of America. [S0001-4966(99)04304-0].