The Journal of Korean Institute of Communications and Information Sciences (한국통신학회논문지)

The Korean Institute of Commucations and Information Sciences (한국통신학회)
권호 표지

The Geolocation Based on Total Least Squares Algorithm Using Satellites

위성을 이용한 Total Least Squares 기반 신호원 측위 알고리즘

  • 박영미 (한국과학기술원 전자전산학과 계산처리연구실) ;
  • 조상우 (한국과학기술원 전자전산학과) ;
  • 전주환 (한국과학기술원 전자전산학과 계산처리연구실)
  • Published : 2004.02.01
Download PDF
⟨ Previous Next ⟩

Abstract

The problem of geolocation using multiple satellites is to determine the position of a transmitter located on the Earth by processing received signals. The specific problem addressed in this paper is that of estimating the position of a stationary transmitter located on or above the Earth's surface from measured time difference of arrivals (TDOA) by a geostationary orbiting (GSO) satellite and a low earth orbiting (LEO) satellite. The proposed geolocation method is based on the total least squares (TLS) algorithm. Under erroneous positions of the satellites together with noisy TDOA measurements, the TLS algorithm provides a better solution. By running Monte-Carlo simulations, the proposed method is compared with the ordinary least squares (LS) approach.

Geoloaction이란 다수의 위성을 이용하여 지구상에 존재하는 송신기의 위치를 결정하는 문제이다. 본 논문에서는 한 기의 정지제도 위성과 한 기의 저궤도 위성을 이용하여 위성에 수신된 신호를 처리하여 얻은 도래 시간차(time difference of arrival or TDOA) 측정치로부터 정적인 송신기의 위치를 추정하는 문제를 다룬다. 위성들의 부정확한 위치 정보와 잡음이 더해진 도래 시간차 측정치를 이용한 geolocation 문제의 경우, 정확한 위치 추정치를 얻기 위하여 total least squares (TLS) 알고리즘으로 접근한다. Monte-Carlo 실험을 통해 기존의 least squares (LS) 방법과 비교함으로써 제안한 TLS 알고리즘의 성능을 검증하였다.

Keywords

References

  1. IEEE Transactions on Afcoustics, Speeach, and Signal Processing v.35 no.12 Closed-form Least-squares Location Estimation from Range-Difference Measurements J.O.Smith;J.S.Abel https://doi.org/10.1109/TASSP.1987.1165089
  2. IEEE Transactions on Aerospace and Electronic Systems v.12 no.1 Position-Location Solution by Taylor-series Estimation W.H.Foy
  3. IEEE Transactions on Aerospace and Electronic Systems v.26 no.5 Simple Solutions for Hyperbolic and Related Position Fixes B.T.Fang https://doi.org/10.1109/7.102710
  4. IEEE Transactions on Aerospace and Electronic Systems v.29 no.4 Solution and Performance Analysis of Geolocation by TDOA K.C.Ho;Y.T.Chan https://doi.org/10.1109/7.259534
  5. The Total Least Squares Problem Computational Aspects and Analysis S.V.Huffel;J.Vandewalle
  6. Matrix Computations G.H.Golub;C.F.Loan