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A Novel Method for Determining Optimum Dimension Ratios for Small Rectangular Rooms

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A new method for determining optimum dimension ratios for small rectangular rooms has been presented. In a theoretical model, an exact description of the room impulse response was used. Based on the impulse response, a frequency response of a room was calculated to find changes in the sound pressure level over the frequency range 20-200 Hz. These changes depend on the source and receiver positions, thus, a new metric equivalent to an average frequency response was introduced to quantify the overall sound pressure variation within the room for a selected source position. A numerical procedure was employed to seek a minimum value of the deviation of the sound pressure level response from a smooth fitted response determined by the quadratic polynomial regression. The most smooth frequency responses were obtained when the source was located at one of the eight corners of a room. Thus, to find the best possible dimension ratios, in the numerical procedure the optimal source position was assumed. Calculation results have shown that optimum dimension ratios depend on the room volume and the sound damping inside a room, and for small and medium volumes these ratios are roughly 1 : 1.48 : 2.12, 1 : 1.4 : 1.89 and 1 : 1.2 : 1.45. When the room volume was suitably large, the ratio 1 : 1.2 : 1.44 was found to be the best one.
Rocznik
Strony
217--225
Opis fizyczny
Bibliogr. 24 poz., rys., tab., wykr.
Twórcy
autor
  • Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B, 02-106 Warsaw, Poland
Bibliografia
  • 1. Bistafa S., Hodgkin M., Morita W., Köhn B., Neto J. (2012), Adaptive control of low-frequency acoustic modes in small rooms, Open Acoustics Journal, 5, 16-22.
  • 2. Błaszak M. (2008), Acoustic design of small rectangular rooms: Normal frequency statistics, Applied Acoustics, 69, 1356-1360.
  • 3. Bolt R. (1946), Note on normal frequency statistics for rectangular rooms, Journal of the Acoustical Society of America, 18, 130-133.
  • 4. Bonello O. (1981), A new criterion for the distribution of normal room modes, Journal of Audio Engineering Society, 29, 597-606.
  • 5. Cox T., D’Antonio P. (2001), Determining optimum room dimensions for critical listening environments: a new methodology, AES 110th Convention, Amsterdam, Convention paper 5353.
  • 6. Cox T., D’Antonio P., Avis M. (2004), Room sizing and optimization at low frequencies, Journal of Audio Engineering Society, 52, 640-651.
  • 7. Damelin S., Miller W. (2012), The mathematics of signal processing, Cambridge University Press, New York.
  • 8. Kinsler L., Frey A., Coppens A., Sander J. (2000), Fundamentals of acoustics, 4th. ed., John Wiley & Sons, New York.
  • 9. Kleiner M., Tichy J. (2014), Acoustics of small rooms, CRC Press, Boca Raton, Florida.
  • 10. Kuttruff H. (2009), Room acoustics, 5th ed., Spon Press, New York.
  • 11. Louden M. (1971), Dimension ratios of rectangular rooms with good distribution of eigentones, Acustica, 24, 101-104.
  • 12. Meissner M. (2016a), Wave-based method for simulating small room acoustics, [in:] Advances in acoustics, Meissner M. [Ed.], pp. 425-436, Polish Acoustical Society, Warsaw.
  • 13. Meissner M. (2016b), Improving acoustics of hardwalled rectangular room by ceiling treatment with absorbing material, [in:] Advances in acoustics, Meissner M. [Ed.], pp. 413-423, Polish Acoustical Society, Warsaw.
  • 14. Meissner M. (2016c), Prediction of reverberant properties of enclosures via a method employing a modal representation of the room impulse response, Archives of Acoustics, 41, 27-41.
  • 15. Meissner M. (2017), Acoustics of small rectangular rooms: Analytical and numerical determination of reverberation parameters, Applied Acoustics, 120, 111-119.
  • 16. Milner J., Bernhard R. (1989), An investigation of the modal characteristics of nonrectangular reverberation rooms, Journal of the Acoustical Society of America, 85, 772-779.
  • 17. Rindel J. (2015), Modal energy analysis of nearly rectangular rooms at low frequencies, Acta Acustica united with Acustica, 101, 1211-1221.
  • 18. Sarris J. (2011), A comparative study of various ’optimum’ room dimension ratios, AES 130th Convention, London, Convention paper 8440.
  • 19. Sarris J. (2014), A new method for the determination of acoustically good room dimension ratios, AES 136th Convention, Berlin, Convention paper 9047.
  • 20. Sepmeyer L. (1965), Computed frequency and angular distribution of the normal modes of vibration in rectangular rooms, Journal of the Acoustical Society of America, 37, 413-423.
  • 21. Sevastiadis C., Kalliris G., Papanikolaou G. (2010), Investigation of low-frequency sound colouration treatments in small rooms by means of finite element analysis, International Journal of Acoustics and Vibration, 15, 128-139.
  • 22. Welti T., Devantier A. (2006), Low frequency optimization using multiple subwoofers, Journal of the Audio Engineering Society, 54, 347-364.
  • 23. Welti T. (2009), Investigation of Bonello criteria for use in small room acoustics, AES 127th Convention, New York, Convention Paper 7849.
  • 24. Welti T. (2012), Optimal configurations for subwoofers in rooms considering seat to seat variation and low frequency efficiency, AES 133rd Convention, San Francisco, Convention Paper 8748.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-eb09422c-3c7b-4873-a856-7a5203a343da
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