DOI QR코드

DOI QR Code

Spatial Complex Envelope of Acoustic Field : Its Definition and Characteristics

음장의 공간 복소 포락: 정의와 특성

  • 박춘수 (한국과학기술원 기계공학과 노빅센터) ;
  • 김양한 (한국과학기술원 기계공학과 노빅센터)
  • Published : 2007.08.20

Abstract

We can predict spatial acoustic pressure distribution on the plane of interest by using acoustic holography. However, the information embedded in the distribution plot is usually much more than what we need: for example, source locations and their overall propagation pattern. One possible candidate to solve the problem is complex envelope analysis. Complex envelope analysis extracts slowly-varying envelope signal from a band signal. We have attempted to extend this method to space domain so that we can have spatial information that we need. We have to modulate two dimensional data for obtaining spatial envelope. Although spatial modulation basically follows the same concept that is used in time domain, the algorithm for the spatial modulation turns out to be different from temporal modulation. We briefly describe temporal complex envelope analysis and extend it to spatial envelope of 2-D acoustic field by introducing geometric transformation. In the end, the results of applying the spatial envelope to the holography are envisaged and verified.

Keywords

References

  1. Hald, J. 1995, 'Time Domain Acoustical Holography', Proceedings of Inter-Noise 95, Newport Beach, California, USA, Vol. 2, pp. 1349-1354
  2. Kim, Y.-H., Jeon, J.-H. and Choi, J.-W. 2006, 'Analysis Problem of Acoustic Holography', Proceedings of WESPAC 13, Seoul, Korea, June 26-28
  3. Kim, Y.-H., 2004, 'Can We Hear the Shape of a Noise Source?', Plenary Lecture, The 18th International Congresson Acoustic, Kyoto International Conference Hall, Japan
  4. Childers, D. G. and Pao, M., 1972, 'Complex Demodulation for Transient Wavelet Detection and Extraction', IEEE Transaction on Audio and Electro Acoustics, AU-20(4), pp. 295-308
  5. Kim, Y.-H., Cheung, W.-S. and Kwak, Y. -K., 1988, 'Complex Envelope of the Vibration Signature of Ball Bearing System and Its Application to Fault Detection', IV International Congress on Experimental Mechanics, Portland, Oregon, U.S.A., pp. 1067-1071
  6. Guirong, G., Zhaowen, Z. and Feixue, W., 1998, 'Mixer-free All Digital Quadrature Demodulation', Proc. ICSP 98, pp, 1704-1707
  7. Rice, S. O., 1954, Selected Papers on Noise and Stochastic Processes, New York: Dover
  8. Dugundji, J., 1958, 'Envelopes and Pre-envelopes of Real Waveforms', IRE Trans. Inform. Theory, pp. 53-57
  9. Roome, S. J., 1989, 'Analysis of Quadrature Detectors Using Complex Envelope Notation', IEE Proceedings, Vol. 136, No. 2, pp. 95-100
  10. Hartmann, W. M., 1998, Signals, Sound, and Sensation, Springer-Verlag New York, Inc. Ch.18
  11. Bracewell, R. N., 2000, The Fourier Transform and Its Applications, McGraw-Hill Book Co., Ch.13, pp.329-340
  12. Williams, E. G., 1999, 'Fourier Acoustics-sound Radiation and Near-field Acoustical Holography', Academic Press, Chap. 2-3
  13. Park, C.-S. and Kim, Y.-H., 2006, 'Complex Envelope of Sound Field and Its Application,' Proceedings of the KSNVE Annual Autumn Conference, KSNVE06A-15-03