The Journal of the Acoustical Society of Korea (한국음향학회지)

The Acoustical Society of Korea (한국음향학회)
권호 표지
DOI QR코드

DOI QR Code

Closed-form Localization of a coherently distributed single source with circular array

환형배열에서 닫힌 형식을 이용한 코히어런트 분산 단일음원의 위치 추정 기법

  • Received : 2018.08.22
  • Accepted : 2018.11.22
  • Published : 2018.11.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we propose a method for estimating the position of a source in a closed form when a single source has coherently distributed property against a circular array. When a sound source reaches a sensor through multipath environments, it is seen as a distributed source and can be represented by four variables: the nominal azimuth, nominal elevation, azimuth angular spread, elevation angular spread. Therefore, it requires a lot of computation by a search method such as DSPE (Distributed Source Parameter Estimator). In this paper, we propose a method of estimating the nominal azimuth and elevation angle in a closed form using correlation function and least squares method for fast position estimation. In particular, if the source is assumed as Gaussian distribution model, the standard deviation is also estimated in a closed form. In the simulation, the validity of the proposed method is confirmed by comparing with the DSPE.

본 논문에서는 환형배열을 이용하여 단일음원이 코히어런트 분산 분포를 가지는 경우 닫힌 형태로 음원의 위치를 추정하는 기법을 제안한다. 음원이 다중경로를 거쳐 센서에 도달하는 경우 분산음원으로 보이며 이때 음원의 위치는 대표 방위, 대표 고각, 대표 방위의 분포, 대표 고각의 분포 네 가지 변수로 표현될 수 있다. 이러한 경우 DSPE(Distributed Source Parameter Estimator) 기법과 같은 탐색 기법으로 네 변수를 찾기 위해서는 매우 많은 탐색과정을 필요로 한다. 본 논문에서는 빠른 위치 추정을 위해 센서간의 상관함수와 최소자승기법을 이용하여 닫힌 형식으로 대표 방위와 고각을 추정하는 기법을 제안한다. 특히 음원이 대표적인 분포 모델인 가우시안 분포를 따를 경우 방위와 고각의 표준편차 또한 닫힌 형식으로 추정한다. 시뮬레이션에서는 DSPE 기법과 비교하여 제안 기법의 타당성을 확인하였다.

Keywords

GOHHBH_2018_v37n6_437_f0001.png 이미지

Fig. 1. Uniform circular array with a distributed source.

GOHHBH_2018_v37n6_437_f0002.png 이미지

Fig. 2. RMSE versus SNR.

GOHHBH_2018_v37n6_437_f0003.png 이미지

Fig. 3. Comparison between nominal angle estimation and angular spread using DSPE (SNR = 10 dB).

Table 1. Elapsed CPU times required for calculation.

GOHHBH_2018_v37n6_437_t0001.png 이미지

References

  1. R. O. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag. AP-34, 271-280 (1986).
  2. R. Raich, J. Goldberg, and H. Messor, "Bearing estimation for a distributed source: modeling, inherent accuracy limitations and algorithm," IEEE Trans. on Signal Processing. 48, 429-441 (2000). https://doi.org/10.1109/78.823970
  3. S. Valaee, B. Champagne, and P. Kabal, "Parametric localization of distributed sources," IEEE Trans. on Signal Processing, 43, 560-565 (2012).
  4. Y. U. Lee, J. Choi, I. Song and S. R. Lee, "Distributed source modeling and direction-of-arrival estimation techniques," IEEE Trans. on Signal Processing. 45, 960-969 (1997). https://doi.org/10.1109/78.564184
  5. S. Lee, I. Song, H. Kwon, and S. R. Lee, "Low-Complexity estimation of 2D DOA for coherently distributed sources," Signal Processing, 83, 1789-1802 (2003). https://doi.org/10.1016/S0165-1684(03)00103-8
  6. J. G. Nam, S. H. Lee, and K. K. Lee "2-D nominal angle estimation of multiple coherently distributed sources in a uniform circular array," IEEE Antennas Wireless Propag. Lett, 13, 415-418 (2014). https://doi.org/10.1109/LAWP.2014.2308191
  7. B. Liao, Y. Wu, and S. Chan, "A generalized algorithm for fast two dimensional angle estimation of a single source with uniform circular array," IEEE Antennas Wireless Propag. Lett. 11, 984-986 (2012). https://doi.org/10.1109/LAWP.2012.2213792
  8. T. J. Jung and K. K. Lee, "Simple closed-form solution for a single source estimation in mixed far-field and near-field conditions" (in Korean), J. Acoust. Soc. Kr. 35, 35-41 (2016). https://doi.org/10.7776/ASK.2016.35.1.035