Abstract: Large amount of work has been done on the statistical properties of small signal sound fields in reverberation rooms yielding the theoretical distribution of rms pressure and mean-squared pressure.The distribution function of sound pressure level is derived in this paper,and the treatment is extended to sound fields with finite amplitude.The distribution functions for fundamental,harmonics and overall sound pressure are derived for sound fields in a reverberation room when excited with strong sinusoidal signals.
The conclusions are:
1.The statistical properties of the reverberant sound fields for weak signal are independent of the space mean energy \overline\mathrmP^2.
2.The normalized distribution functions of the gundamental,harmonics in nonlineat sound fields are the same as in the linear case.
3.The distribution functions of overall sound presure are dominated by the ratio of (λ_k/λ₁) where λk is the space mean energy of the kth harmonics sound field.
4.The mean distance of adjacent pressure maxima decreases with increasing the space mean energy \overline\mathrmP^2 when excited with strong sinusoidal signals.
To achieve a reasonable statistical accuracy,large amounts of data have to be precured.This is accomplished by employing fully digitized measuring techniques.The experimental results are in good agreement with theories.