Abstract

Abstract The statistics of transfer functions has long been of interest in room acoustics because of the necessity of frequency averaging to generate smooth response curves. An important parameter in these statistics is modal overlap, the ratio of modal bandwidth to modal spacing. When this parameter is large, as it often is in room response, the magnitude statistics become fairly simple. The phase statistics in room response have not been greatly studied. Time delays in room acoustics are more often related to pulse arrival statistics using an image model for wall reflections. Structures are different in the behavior of their transfer functions primarily because they tend to have low modal overlap. This means that both the magnitude and phase of their transfer functions need to be reevaluated. This has been done and the results are presented in this paper. Of particular interest are the phase statistics, which appear to be derivable from a random walk model.

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