在GPS短基線相對定位的應用上，使用二次差分可以消除大部分的誤差，多路徑效應誤差卻因測站間環境與衛星幾何構形的不同而無法去除。因此在高精度的GPS定位中，多路徑效應為主要的誤差來源之ㄧ。GPS定位精度的提升有賴於多路徑效應誤差的降低與消除，當衛星群幾何構形重覆出現時，多路徑效應具有重複性質。
本研究以GPS衛星群與接收天線間，每一恆星日的幾何重複性為基礎，探討GPS短基線定位的坐標時間序列特性，分析多路徑效應影響量與重複性，並使用恆星日濾波與最小二乘調和估計來降低多路徑效應的影響量，研究結果顯示這些方法在GPS靜態與緩速動態定位上，對於精度提升皆有正面的效益。

Most of the errors affecting GPS positioning in short baseline are minimized by double differencing technique, multipath effects error will remain due to the highly site-specific nature of reflection of GPS signals from nearby surfaces. Accordingly, multipath effects error is considered one of the major errors affecting precise GPS positioning. Estimates of position using GPS are improved by removing multipath signals, which repeat when the GPS constellation appears again.
The foundation of this research is the geometry between the GPS satellites and the receiving antenna should repeat in every sidereal day. The objective is to discuss the characteristic of the GPS positioning time series and analyze the influences and repetitions of multipath effects. This error can be reduced by using sidereal filtering and least squares harmonic estimation. The result demonstrates that the accuracy of the GPS static and slow-moving kinematic positioning can be improved by these methods effectively in GPS short baseline.

林修國，1997。「模稜求定與時鐘偏差估計應用與衛星相對定位及姿態求解」，博士論文，國立中央大學大氣物理研究所，中壢。
徐浩雄，2000。「白化濾波應用於GPS動態衛星定位測量之研究」，碩士論文，國立中央大學土木工程研究所，中壢。
曾清凉、儲慶美，1999。「GPS衛星測量原理與應用」，國立成功大學衛星資訊研究中心，台南。
葉添福，2003。「最小二乘過濾法應用於動態GPS衛星定位平穩性之研究」，碩士論文，國立中央大學土木工程研究所，中壢。
謝吉修，2003。「GPS即時動態定位最佳化演算法比較研究」，碩士論文，國立中央大學土木工程研究所，中壢。
Agnew, D. C. and Larson, K. M., 2007. Finding the repeat times of the GPS constellation, GPS Solutions, Vol. 11, No. 1, pp. 71-76.
Amiri-Simkooei, A. R. and Tiberius, C. C. J. M., 2007. Assessing receiver noise using GPS short baseline time series, GPS Solutions, Vol. 11, No. 1, pp. 21-35.
Estey, L. H. and Meertens, C. M., 1999, TEQC: The multi-purpose toolkit for GPS/GLONASS data, GPS Solutions, Vol. 3, No. 1, pp.42-49.
Goad, C. C. and Yang, M., 1997. A new approach to precision airborne GPS positioning for photogrammetry, Photogrammetric Engineering & Remote Sensing, Vol. 63, No. 9, pp. 1067-1077.
Hardwick, C. D. and Liu, J., 1996. Characterization of phase and multipath errors for an aircraft GPS antenna, Navigation, Vol. 43, No. 1, pp. 41-54.
Hofmann-Wellenhof, B., Lichtenegger, H., and Collins, J., 1997. Global Positioning System - Theory and Practice, 4th ed., Springer, New York.
Horemuž, M. and Sjöberg, L. E., 2002. Rapid GPS ambiguity resolution for short and long baselines, Journal of Geodesy, Vol. 76, No. 6-7, pp. 381-391.
Marshall, J., 2002. Creating and viewing skyplots, GPS Solutions, Vol. 6, No. 1-2, pp. 118-120.
Lau, L. and Cross, P., 2007. Development and testing of a new ray-tracing approach to GNSS carrier-phase multipath modeling, Journal of Geodesy, Vol. 81, No. 11, pp. 713-732.
Leick, A., 2004. GPS Satellite Surveying, 3rd ed., John Wiley and Sons, Hoboken.
Mohamed, A. H. and Schwarz, K. P., 1998. A simple and economical algorithm for GPS ambiguity resolution on the fly using a whitening filter, Navigation, Vol. 45, No. 3, pp. 221-231.
Ogaja, C. and Hedfors, J., 2007. TEQC multipath metrics in MATLAB, GPS Solutions, Vol. 11, No. 3, pp. 215-222.
Ogaja, C. and Satirapod, C., 2007. Analysis of high-frequency multipath in 1-Hz GPS kinematic solutions, GPS Solutions, Vol. 11, No. 4, pp. 269-280.
Park, K. -D., Nerem, R. S., Schenewerk, M. S., and Davis, J. L., 2004. Site-specific multipath characteristics of global IGS and CORS GPS sites, Journal of Geodesy, Vol. 77, No. 12, pp. 799-803.
Ragheb, A. E., Clarke, P. J., and Edwards, S. J., 2007. GPS sidereal filtering: coordinate- and carrier-phase-level strategies, Journal of Geodesy, Vol. 81, No. 5, pp. 325-335.
Souza, E. M. and Monico, J. F. G., 2004. Wavelet shrinkage: high frequency multipath reduction from GPS relative positioning, GPS Solutions, Vol. 8, No. 3, pp. 152-159.
Tapley, B. D., 1989. Fundamentals of orbit determination, In: Sansò, F. and Rummel, R.(eds.), Lecture Notes in Earth Sciences, Vol. 25, Springer-Verlag, New York, pp. 235-260.
Teunissen, P. J. G., 1995. The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation, Journal of Geodesy, Vol. 70, No. 1-2, pp. 65-82.
Teunissen, P. J. G., De Jonge, P. J., and Tiberius, C. C. J. M., 1997. Performance of the LAMBDA method for fast GPS ambiguity resolution, Navigation, Vol. 44, No. 3, pp. 373-383.
Walker, A. M., 2003. A note on estimation by least squares for harmonic component models, Journal of Time Series Analysis, Vol. 24, No. 5, pp. 613-629.
Wang, J., Stewart, M. P., and Tsakiri, M., 1998. A discrimination test procedure for ambiguity resolution on-the-fly, Journal of Geodesy, Vol. 72, No. 11, pp. 644-653.
Wu, J. and Hsieh, C. H., 2008. GPS on-the-fly medium-length positioning by an estimation of the measurement variance, Journal of Chinese Institute of Engineers, Vol. 31, No. 3, pp. 459-468.
Xu, P., 2001. Random simulation and GPS decorrelation, Journal of Geodesy, Vol. 75, No. 7-8, pp. 408-423.
Zheng, D. W., Zhong, P., Ding, X. L., and Chen, W., 2005. Filtering GPS time-series using a Vondrak filter and cross-validation, Journal of Geodesy, Vol. 79, No 6-7, pp. 363-369.
Zhong, P., Ding, X. L., Zheng, D. W., Chen, W., and Huang D. F., 2008. Adaptive wavelet transform based on cross-validation method and its application to GPS multipath mitigation, GPS Solutions, Vol. 12, No. 2, pp. 109-117.