Comparison of IIR Filter and Wavelet Filter on Acoustic Decay Measurements

음 감쇠 측정에서의 IIR 필터와 웨이블렛 필터의 영향에 대한 수치 계산, 비교

  • Published : 2001.07.01

Abstract

It is well known that there are two experimental errors on acoustic decay measurements. ,One is due to the influence of the band pass filter the other one is that of an averaging device. In this paper the influence of the filter is investigated in detail. To minimize the influence of the filter, the product of the filter bandwidth B (3dB bandwidth) and the reverberation time T/sub 60/ of the room under test should be at least 16. Moreover, if the initial part of an acoustic decay curve is important, the strong requirement, i. e. BT/sub 60/〉64, must be satisfied. In this paper, the wavelet filter bank instead of the band pass filter bank is applied to obtain an acoustic decay curve. As a result, the influence of filter is reduced and then the value of BT/sub 60/ required for obtaining an acceptable decay curve becomes at least 4. The strong requirement for the initial part of a decay curve is also replaced by the BT/sub 60/〉16 instead of BT/sub 60/〉64.

본 논문에서는 음 감쇠 측정에서 실험 오차발생의 원인 중하나인 대역 통과 필터의‘ringing’에 대하여 조사하였다. 이는 모든 감쇠 측정의 근본적인 제한으로서 이러한 필터의 영향을 줄이기 위해서는 필터의 대역폭B (3dB bandwidth)와 시스템의 잔향시간 T/sub 60/의 곱이 최소 16이상이 되어야 한다 그리고 감쇠 곡선의 초기부분이 필요한 경우에는 필요 조건이 64 이상으로 더욱 증가한다. 이에 비하여 웨이블렛 필터를 사용하는 경우 이러한 제한은 4 이상으로 완화되고 초기 부분의 사용 또한 16이상으로 조건이 크게 완화된다. 그러므로 웨이블렛 필터를 사용하여 음 감쇠 신호를 측정할 경우 저주파수 영역에서 짧은 잔향시간의 음 감쇠 신호에 대하여 더욱 정확한 측정이 가능하다.

Keywords

References

  1. J. sound vib. v.115 no.1 A Note on Acoustic Decay Measurements F. Jacobsen
  2. Room Acoustics H. Kuttruff
  3. J. Acoust. Soc. Am. v.37 New Method of Measuring Reverberation M. R. Schroeder
  4. J. Acoust. Soc. Am. v.63 no.5 Comparison of reverberation measurements using Schroeder's impulse method and decay-curve averaging method W. T. Chu
  5. Acustica v.80 Comparison of Method for Measuring Reverberation Time M. Vorlander;H. Bietz
  6. Acoustics-Measurement of the reverberation time of rooms with reference to other acoustical parameters ISO 3382
  7. Acustica v.81 Uncertainties of Measurements in Room Acoustics A. Lundeby;T. E. Vigran
  8. SAE paper 972032 Steady State Reverberation Time Measurement S. Sorenson
  9. Joint Time-Frequency Analysis S. Qian;D. Chen
  10. Specification for Octave-Band and Fractional-Octave-Band Analog and Digital Filters ANSI. S1.11
  11. Society for Industrial and Applied Mathematics Ten Lectures on Wavelets I. Daubechies
  12. J. sound vib. v.117 no.1 Time Reversed Decay Measurements F. Jacobsen;J. H. Rindel
  13. Multirate Systems and Filter Banks v.Chap.11 P. P. Vaidyanathan
  14. Wavelets and Filter Banks G. Strang;T. Ngquyen
  15. Introduction to Wavelets and Wavelet Transforms Y. Guo;C. Li
  16. Theoretical Acoustics P. M. Morse;K. U. Ingard