A statistical analysis of surface reverberation

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Abstract
A statistical analysis of reverberation generated by projecting sound at the wind-driven surface of a freshwater lake is presented. One test for randomness, two tests for homogeneity, and four tests for normality were employed in the analysis. The hypothesis tests were applied at various times during the duration of the reverberation. Procedures to combine the test results to provide an assessment of the test hypothesis over the duration of the reverberation are presented. These results indicated that the reverberation was non-Gaussian, a finding in contrast to the results of previous studies. The non-Gaussian nature of reverberation may result in degraded performance of signal processing algorithms that assume a Gaussian noise field and operate in a reverberant environment.

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