Journal of the Institute of Electronics and Information Engineers (전자공학회논문지)

The Institute of Electronics and Information Engineers (대한전자공학회)
권호 표지
DOI QR코드

DOI QR Code

Schur Algorithm for Sub-bottom Profiling

해저지층 탐사를 위한 Schur 알고리즘

  • Received : 2013.05.08
  • Published : 2013.09.25
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we propose an algorithm for estimating media characteristics of sea water and subbottom multi-layers. The proposed algorithm for estimating reflection coefficients, uses a transmitted signal and reflected signal obtained from multiple layers of various shape and structure, and the algorithm is called Schur algorithm. The algorithm is efficient in estimating the reflection coefficients since it finds solution by converting the given inverse scattering problem into matrix factorization. To verify the proposed algorithm, we generate a transmit signal and reflected signal obtained from lattice filter model for sea water and subbottom of multi-level non-homogeneous layers, and then find that the proposed algorithm can estimate reflection coefficients efficiently.

본 논문은 송신신호와 다층의 해수층 및 해저지층으로 구성된 매질의 퇴적물의 배치 및 형태에 의해 반사된 수신 신호를 이용하여 매질 각층의 특성을 계산 할 수 있는 알고리즘을 제안한다. 제안된 알고리즘은 이종의 다층 매질로 구성되어 있는 해수층 및 해저지층의 구조 특성을 추정하는 것으로, 일반적으로 Schur 알고리즘이라 부른다. 제안된 알고리즘은 주어진 역산란(inverse scattering) 문제를 matrix factorization을 수행하여 효율적으로 매질의 반사계수(reflection coefficient)를 추정한다. 본 논문에서는 제안된 알고리즘의 성능을 분석하기 위하여 해수층 및 해저지층의 이종 다층 매질 구조를 고려한 lattice 필터모델을 구성하였고, 이 필터 모델로부터 얻어진 송신 및 반사 신호를 이용하여 다양한 컴퓨터 모의실험을 수행한 결과, 제안된 알고리즘이 효율적으로 매질을 추정함을 확인하였다.

Keywords

References

  1. X. Lurton, An Introduction to Underwater Acoustics Principles and Applications, Springer, Chichester, 2002.
  2. M. Tolsma, Model-based, Acoustic Subbottom Classification, M. Tolsma, 2004.
  3. S. Rakotonarivo, M. Legris, R. Desmare, J. Sessarego, and J. Bourillet, "Forward Modeling for Marine Sediment Characterization Using Chirp Sonars," Geophysics, Vol. 76, no. 4, pp. T91-T99, 2011. https://doi.org/10.1190/1.3590717
  4. H. Schwetlick, "Inverse methods in the reconstruction of acoustical impedance profilies," J. Acoust. Soc. Am., vol. 73, no. 4, pp. 754-760, 1983.
  5. A. M. Bruckstein and T. Kailath, "Inverse scattering for discrete transmission-line models," SIAM Review, Vol. 29, no. 3, pp. 359-389, 1987. https://doi.org/10.1137/1029075
  6. T. Kailath, "Signal processing applications of some moment problems," in Proc. Symp. Appl. Math., Vol. 37, pp. 71-109, 1987.
  7. M. Vetterli, "A theory of multirate filter banks," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, no. 3, pp. 356-372, 1987.
  8. P. P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice-Hall, Englewood Cliffs, NJ, 1993.
  9. J. D. Markel and A. H. Gray, Jr., Linear Prediction of Speech, Springer-Verlag, New York, 1976.
  10. E. M. Dowling and D. L. MacFarlane, "Lightwave lattice filters for optically multiplexed communication systems," J. Lightwave Technol., vol. 12, no. 3, pp. 471-486, 1994. https://doi.org/10.1109/50.285330
  11. S. T. Alexander, Adaptive Signal Processing Theory and Applications, Springer-Verlag, New York, 1986.
  12. S. J. Orfanidis, Optimum Signal Processing: An Introduction, McGraw-Hill, New York, 1988.
  13. J. Bae, J. Chun, and T. Kailath, "The Schur Algorithm applied to the Design of Optical Mult-Mirror Structures," Numer. Linear Algebra Appl., Vol. 12, pp. 283-292, 2005. https://doi.org/10.1002/nla.415
  14. J. Bae, "The block Schur algorithm for designing optical multi-layered structures," Opt. Commun, vol. 272, pp. 40-43, 2007. https://doi.org/10.1016/j.optcom.2006.10.085
  15. Y. Choi, J. Chun, and J. Bae, "Numerically extrapolated discrete layer-peeling algorithm for synthesis of nonuniform fiber Bragg gratings," Optice Express, Vol. 19, no. 9, pp. 8254-8266, 2011. https://doi.org/10.1364/OE.19.008254
  16. M. Kalmbach, Estimation of the Ocean Sound Velocity Profile, http://ebookbrowse.com/estimation-of-the-oceansound- velocity-profile-pdf-d88393698, 2011.
  17. R. Soheilifar, A. M. Arasteh, J. Rasekhi, and A. G. Urimi, "A Computer Simulation of Underwater Sound Propagation Based on the Method of Parabolic Equations," Applied Computing Conference (ACC '08), pp. 91-97, Istanbul, Turkey, May 2008.
  18. 복태훈, 김주호, 이종현, 배진호, 팽동국, 방익찬, 이종길 "제주도 서부 해역의 저염수층을 고려한 수중통신 성능," 전자공학회논문지-TC, 제48권, TC편 제1호, 16-24쪽, 2011년
  19. 김주호, 복태훈, 배진호, 팽동국, 이종현, 김성일, "서해상에서의 계절에 따른 통신 성능분석," 전자공학회논문지-TC, 제48권, TC편 제1호, 9-15쪽, 2011년

Cited by

  1. Sub-bottom Profiling Algorithm using Parametric Array vol.28, pp.1, 2014, https://doi.org/10.5574/KSOE.2014.28.1.055