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

Tae-Jin Jung; Kee-Cheol Shin; Gyu-Tae Park; Sung-Il Cho

doi:10.7776/ASK.2018.37.6.437

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2018 Vol.37, Issue 6 Preview Page Next Page

Research Article

Closed-form Localization of a coherently distributed single source with circular array 환형배열에서 닫힌 형식을 이용한 코히어런트 분산 단일음원의 위치 추정 기법

30 November 2018. pp. 437-442

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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.

Keywords

Distributed source

Circular array

Localization

Least square method

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 탐색 과정을 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.

키워드

분산음원

환형배열

음원 위치 추정

최소자승기법

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Information

Publisher :The Acoustical Society of Korea
Publisher(Ko) :한국음향학회
Journal Title :The Journal of the Acoustical Society of Korea
Journal Title(Ko) :한국음향학회지
Volume : 37
No :6
Pages :437-442
Received Date : 2018-08-22
Revised Date : 2018-10-15
Accepted Date : 2018-11-22
DOI :https://doi.org/10.7776/ASK.2018.37.6.437

The Journal of the Acoustical Society of KoreaISSN:1225-4428(Print) 2287-3775(Online)한국음향학회

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