The use of cross-spectral density measurements in partially reverberant sound fields |
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Authors: | W.K. Blake R.V. Waterhouse |
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Affiliation: | David W. Taylor Naval Ship Research and Development Center, Bethesda, Maryland 20084, U.S.A. |
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Abstract: | The cross-spectral densities of sound at two points in a partially reverberant space are shown to be sensitive to the power flow out of the space. A nearly homogeneous sound field is found to possess a co-spectral density which is nearly insensitive to the nature of the field. This spectrum is traditionally obtained as a cross-correlation and its analytical form has been well established. Perhaps less well known is the imaginary part of the cross-spectrum which is shown in this paper to be sensitive to the direction of propagation from a sound scattering enclosure. Specific analytical forms of the spectrum are derived for incidence included within certain cones by using a wavefunction model of the scattered sound field. In some cases the co- and quadrature-spectra are related to each other by the Hilbert transform. |
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