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A study on robust generalized cross correlation-phase transform based time delay estimation in impulsive noise environment using nonlinear preprocessing and frequency domain low-pass filter

비선형 전처리와 주파수 영역 저역 필터에 의한 임펄스성 잡음 환경에 강인한 위상 변환 일반 상호 상관 시간 지연 추정기 연구

  • 임준석 (세종대학교 전자정보통신공학과) ;
  • 이근화 (세종대학교 국방시스템공학과)
  • Received : 2024.05.01
  • Accepted : 2024.06.27
  • Published : 2024.07.31

Abstract

The proposed method uses Generalized Cross Correlation - Phase Transform (GCC-PHAT) method with nonlinear preprocessing and a frequency domain low-pass filter. In this paper, by reinterpreting the calculation process of GCC-PHAT as DFT, we derive that there is an effective frequency band used for time delay estimation in GCC-PHAT, and by using only the effective band using a low-pass filter, the noise component is reduced and it improvesthe time delay performance in impulsive noise environments. By comparing the proposed method with the traditional GCC-PHAT in an impulsive noise environment, we show that the GCC-PHAT becomes more robust to the impulsive noise.

본 논문은 임펄스성 잡음에 견실한 시간 지연을 추정 방법을 제안한다. 제안하는 방법은 Generalized Cross Correlation - Phase Transform(GCC-PHAT) 방법에 비선형 전처리와 주파수 영역 저역 통과 필터를 사용한다. 본 논문에서는 GCC-PHAT의 연산 과정을 DFT로 다시 해석함으로써 GCC-PHAT에서 시간 지연 추정에 실제 사용되는 유효한 주파수 대역이 있음을 파악하고, 저역 통과 필터 사용하여 유효 대역만을 사용하면 잡음 성분을 줄여서 시간 추정 성능을 향상시킬 수 있음을 보인다. 제안한 방법을 임펄스성 잡음 환경에서 전통적인 GCC-PHAT와 비교함으로써 추정 견실성이 향상됨을 보인다.

Keywords

Acknowledgement

이 논문은 2024년 정부(방위사업청)의 재원으로 국방기술진흥연구소의 지원을 받아 수행된 연구임(No.KRIT-CT-22-052, 물리데이터 기반 지능형 소나 신호 탐지 기술 연구).

References

  1. G. Carter, "Time delay estimation for passive sonar signal processing," IEEE Trans. Acoust. Speech, Signal Process. 29, 463-470 (1981). https://doi.org/10.1109/TASSP.1981.1163560
  2. H. Xin, X. Bai, J. Zhao, and B. Li, "On TDE techniques for the radar signal," J. Eng. 2019, 6554-6557 (2019). https://doi.org/10.1049/joe.2019.0151
  3. L. Nguyen, J. V. Miro, and X. Qiu, "Multilevel B-splines-based learning approach for sound source localization," IEEE Sensors J. 19, 3871-3881 (2019).
  4. J. Wang, J. Wang, X. Jia, W. Shan, and J. Guan, "Research on imaging methods of single-beam mechanical scanning sonar," Proc. IEEE Int. Conf. Signal Process., Commun. Comput. 1-4 (2020).
  5. V. Faerman, K. Voevodin, and V. Avramchuk, "Frequency-domain generalized phase transform method in pipeline leaks locating," Proc. Int. Conf. High-Perform. Comput. Syst. Technol. Sci. Res. Automat. Control Prod. 22-38 (2023).
  6. C. Du, S. Yu, H. Yin, and Z. Sun, "Microseismic time delay estimation method based on continuous wavelet," J. Sensors, 22, 1-11 (2022). https://doi.org/10.1109/JSEN.2021.3136033
  7. J. S. Lim and K. Lee, "Time delay estimation algorithm using Elastic Net" (in Korean), J. Acoust. Soc. Kr. 42, 364-369 (2023).
  8. J. Lim, "A study on improving time delay estimation performance of generalized cross correlation - phase transformusing singularspectrumanalysis" (inKorean), J. KIIT. 20, 99-106 (2022). https://doi.org/10.14801/jkiit.2022.20.8.99
  9. C. S. Tan, R. M. Mokhtar, and M. R. Arshad, "Improved generalized cross correlation phase transform algorithm for time difference of arrival estimation," Proc. 10th Nat. Tech. Seminar Underwater Syst. Technol. 315-322 (2019).
  10. J. M. Lorenzo, R. V. Abad, P. R. Lopez, F. Rivas, and J. Escolano, "Evaluation of generalized cross-correlation methods for direction of arrival estimation using two microphones in real environments," J. Appl. Acoust. 73, 698-712 (2012). https://doi.org/10.1016/j.apacoust.2012.02.002
  11. T. Gustafsson, B. D. Rao, and M. Trivedi, "Source localization in reverberant environments: Modeling and statistical analysis," IEEE Trans. Speech Audio Process. 11, 791-803 (2003). https://doi.org/10.1109/TSA.2003.818027
  12. P. G. Georgiou, P. Tsakalides, and C. Kyriakakis, "Alpha-stable modeling of noise and robust time-delay estimation in the presence of impulsive noise," IEEE Trans. Multimedia, 1, 291-301 (1999). https://doi.org/10.1109/6046.784467
  13. P. Tsakalides, Array signal processing with alpha-stable distribution, (Ph.D. thesis, University of South California, 1995).
  14. D. Pena, A. Lima, V. Junior, L. Silveira, and A. Medeiros, "Robust time delay estimation based on non-Gaussian impulsive acoustic channel," JCIS, 35, 86-89 (2020). https://doi.org/10.14209/jcis.2020.9