Journal of Korean Society for Geospatial Information Science (대한공간정보학회지)

Korea Spatial Information Society (대한공간정보학회)
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Analysis of the Optimal Degree and Order of Spherical Harmonics for the GNSS Receiver Antenna's PCV Correction

GNSS 수신기 안테나의 PCV 보정 모델 산출을 위한 구면조화함수 최적차수 분석

  • Kim, Jin Yi (Dept. of Geoinformatic Engineering, Inha University) ;
  • Won, Ji Hye (Research Institute, Jipyong Space Inc.) ;
  • Park, Kwan Dong (Dept. of Geoinformatic Engineering, Inha University) ;
  • Seo, Seung Woo (The 3rd R&D Institute, Agency for Defence Development) ;
  • Park, Heung Won (The 3rd R&D Institute, Agency for Defence Development)
  • 김진이 (인하대학교 지리정보공학과) ;
  • 원지혜 ((주)지평스페이스 기술연구소) ;
  • 박관동 (인하대학교 지리정보공학과) ;
  • 서승우 (국방과학연구소 3본부 4부) ;
  • 박흥원 (국방과학연구소)
  • Received : 2014.08.08
  • Accepted : 2014.09.04
  • Published : 2014.09.30
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Abstract

The positioning accuracy of GNSS surveys deteriorates due to various error factor, and many users sometimes ignore Phase Center Variation (PCV) of antennas. IGS provides an ANTEX file which contains PCV correction information to correct for PCVs. But it is not directly applicable because PCV correction information is provided at 5-degree intervals in the azimuth and elevation directions for the case of receiver antennas, and at 1-degree intervals in the nadir angle for the case of satellite antennas. So, we devised new and optimal ways of interpolating PCV in any desired line of sight to the GNSS satellite. We used spherical harmonics fitting methods in terms of the azimuth and elevation angle for interpolation, and found an optimal degree and order. It is shown that the best accuracy was obtained from the 8 by 8 spherical harmonics. If one requires lower burden on computing resources, the order and degree less than 8 could produce resonable accuracy except for 1st and 5th order.

GNSS는 다양한 오차요소에 의해 좌표 정확도가 저하되는데, 그중 고정밀 측위에서 간과하기 쉬운 것이 안테나의 위상중심변동이다. 이를 보정하기 위해 IGS에서는 위상중심변동 보정정보를 기록한 ANTEX 파일을 제공하고 있다. 하지만 수신기 안테나의 경우 방위각과 고도각마다 $5^{\circ}$ 간격으로, 위성 안테나의 경우 천저각에 대해 $1^{\circ}$ 간격으로 PCV 보정정보가 제공되기 때문에 사용자 입장에서는 충분하지 않다. 따라서 어떠한 각도에서도 PCV 보정정보를 정확하게 보간하기 위한 연구를 수행하였다. 이 연구에서는 방위각과 고도각을 모두 변수로 사용할 수 있는 구면조화함수를 수신기 안테나 PCV 보정정보를 보간하는데 사용해 최적차수를 구하였다. 그 결과 정확도를 우선적으로 고려한다면 구면조화함수 8차가 최적차수가 되며, 구동시간을 우선적으로 고려한다면 허용되는 오차 내에서 구면조화함수 1차와 5차를 제외한 가장 낮은 차수가 최적차수가 된다.

Keywords

References

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