Reverberation Time Estimation Algorithm Accuracy
DOI:
https://doi.org/10.18372/1990-5548.83.19859Keywords:
кeverberation time, truncation time, room impulse response, squaring – moving averaging, inverse integration methodAbstract
The task of estimating the reverberation time is relevant in the acoustic examination of premises for both civilian purposes (kindergartens, educational institutions, concert halls, etc.) and military purposes (control centers). Reverberation time measurement is usually performed by the method of inverse integration of the room impulse response. However, due to the existence of background noise, the problem of choosing the moment of time (truncation time) from which integration should begin arises. In this paper, the accuracy of the algorithm for calculating the reverberation time, where the truncation time is defined as the moment of approach to zero of the derivative of the “squaring - moving averaging” system output signal, is studied. Estimates of the bias, standard deviation, and total error for the values of the signal-to-noise ratio and reverberation time typical for classrooms are obtained. At a signal-to-noise ratio of 45 dB, for measurements in a wide frequency band of 80 Hz – 11 kHz, the total relative error of the reverberation time estimation does not exceed 6% for reverberation time values of 0.6–1.2 s. When measuring reverberation time in octave frequency bands, the error reaches 20% for the frequency band in the vicinity of 125 Hz, decreases to 10% for the frequency band in the vicinity of 500 Hz, and does not exceed 3% for the frequency band in the vicinity of 8 kHz.
References
ANSI/ASA S12.60-2010/Part 1 American National Standard Acoustical Performance Criteria, Design Requirements, and Guidelines for Schools, Part 1: Permanent Schools. Available at: https://successforkidswithhearingloss.com/wp-content/uploads/2012/01/ANSI-ASA_S12.60-2010_PART_1_with_2011_sponsor_page.pdf
Acoustic design of schools: performance standards. Building bulletin 93. UK Department for Education, 2015. Available at: https://assets.publishing.service.gov.uk/media/5a8170d3e5274a2e8ab54012/BB93_February_2015.pdf
A. Astolfi, L. Parati, D. D’Orazio, and M. Garai, “The new Italian standard UNI 11532 on acoustics for schools,” Proc. 23rd International Conference on Acoustics integrating 4th EAA Euroregio 2019 – ICA 2019. https://dx.doi.org/10.18154/RWTH-CONV-239323
H. Fuchs, DIN 18041:2016 – A norm in room acoustic offside? January 2019, Lärmbekämpfung 14(04):123–132. http://dx.doi.org/10.37544/1863-4672-2019-04-25
J. Bradley, H. Sato, and M. Picard, “On the importance of early reflections for speech in rooms,” J. Acoust. Soc. Am., vol. 113 (6): 3233–3244, 1 June 2003. https://doi.org/10.1121/1.1570439
J. Bradley and H. , “Speech Intelligibility Test Results for Grades 1, 3 and 6 Children in Real Classrooms,” 2004. Available at: https://nrc-publications.canada.ca/eng/view/accepted/?id=b2671dea-f873-491f-8bb6-35f0ecf2b891
ISO 3382-1:2009 “Acoustics – Measurement of room acoustic parameters – Part 1: Performance spaces,” International Standards Organization, Geneva, Switzerland, 1975.
J. Davy, “The variance of decay rates in reverberation rooms,” Acustica, vol.43, no.1, pp. 51–56, 1979.
J. Davy, “The variance of impulse decays,” Acustica, vol. 44, no.1, pp. 51–56, 1980.
M. Schroeder, “New method of measuring reverberation time,” J. Acoust. Soc. Amer. 37, pp. 409–412, (1965). https://doi.org/10.1121/1.1909343
R. Kurer and U. Kurze, “Integration Method for the Evaluation of Reverberation Measurement,” Acustica, vol. 19, pp. 313–322, (1967/68).
K. Bordlund, “On the use of the integrated impulse response method for laboratory reverberation measurements,” Journal of Sound and Vibration, 56(3), pp. 341–362, 1978. https://doi.org/10.1016/S0022-460X(78)80152-7
W. Chu, “Comparisonof ReverberationMeasurements Using Schroeder's Impulse Method and Decay-Curve Averaging Method,” J. Acoust. Soc. Am., vol. 63, pp. 1444–1450, 1978. https://doi.org/10.1121/1.381889
M. Vorlander and H. Bietz, “Comparison of Methods for Measuring Reverberation Time,” Acustica, vol. 80, pp. 205–215, 1994.
A. Lundeby, T. Vigran, H. Bietz, and M. Vorlander, “Uncertainties of Measurements in Room Acoustics,” Acustica, vol. 81, pp. 344–355, 1995.
A. Prodeus and A. Naida, “Measurement of Reverberation Time Using a Two-Stage Algorithm,” Electronics and Control Systems, no 4(82), pp. 9–15. 2024. https://doi.org/10.18372/1990-5548.82.19362
A. Prodeus and A. Naida, “A Two-Stage Algorithm for Determining the Truncation Time and Reverberation Time,” 2024 IEEE 7th International Conference Actual Problems of Unmanned Aerial Vehicles Developments (APUAVD), October 22-24, 2024, Kyiv, Ukraine. https://doi.org/10.1109/APUAVD64488.2024.10765903
H. Löllmann, “Estimation of the Reverberation Time in Noisy Environments,” In Proceedings of the International Workshop on Acoustic Echo and Noise Control (IWAENC), Seattle, US (2008). Available at: https://www.iwaenc.org/proceedings/2008/contents/papers/9033.pdf
H. Steeneken and T. Houtgast, “Basics of the STI measuring method,” in Past, present and future of the Speech Transmission Index. Soesterberg: TNO Human Factors, 2002. Available at: https://www.steeneken.nl/wp-content/uploads/2014/04/Basics-STI_2014-V1.pdf
British Standard BS EN 60268-16. Sound system equipment, Part 16. Objective rating of speech intelligibility by speech transmission index, 2011, European Committee for Electrotechnical Standartization.
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