Research Article

A Finite State Space Model for Representing the Broadband Infinite Series for Acoustic Reverberation between Parallel Reflecting Planes

Table 2

Numerical assessment of exponential inputs results in Figures 4 and 5.

Error Description Case 1 = 1 Case 1 = 5 Case 2 = 1 Case 2 = 5

Ascent to state peak
Time Range (s) 0-.15 0-.092 0-.077 0-.061
Min to Max Error (%) 0-16.7 4.2-9.3 1.3-5.5 1.3-7.1
Average (%) 5.5 5.8 4.1 4.6

State Peak
Time (s), .15 .092 .077 .061
Peak Error (%) 14.6 2.8 2.7 5.4

Descent to an additional 4 peak intervals
Time Range (s) .15-.75 .092-.46 .077-.38 .061-.31
Min to Max Error (%) 0-4.2 2.8-15.7 0-23.6 0-20.2
Average (%) 1.2 6.8 14.0 12.3

Descent to an additional 4 more peak intervals
Time Range (s) .75-1.4 .46-.83 .38-.69 .31-.66
Min to Max Error (%) 1.0-10.4 2.8-5.7 23.6-27.7 16.2-18.9
Average (%) 4.6 2.6 26.4 17.5