Measurement of Correlation Coefficients in Reverberant Sound Fields

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Abstract
Reverberation chambers used for acoustical measurements should have completely random sound fields. We denote by R the cross‐correlation coefficient for the sound pressures at two points a distance r apart. R = 〈p 1 p 2 〉 Av /(〈p 1 2 〉 Av 〈p 2 2 〉 Av ) 1 2 , where p 1 is the sound pressure at one point, p 2 that at the other, and the angular brackets denote long time averages. In a random sound field,R = (sinkr)/kr, where k = 2π/(the wavelength of the sound). An instrument for measuring and recording R as a function of time is described. A feature of this instrument is the use of a recorder's servomechanism to measure the ratio of two dc voltages. The results of correlation measurements in reverberant sound fields are given.

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