Current variance models for GPS carrier phases that take correlation due to tropospheric turbulence into account are mathematically difficult to handle due to numerical integrations. In this paper, a new model for temporal correlations of GPS phase measurements based on turbulence theory is proposed that overcomes this issue. Moreover, we show that the obtained model belongs to the Ma'tern covariance family with a smoothness of 5/6 as well as a correlation time between 125–175 s. For this purpose, the concept of separation distance between two lines-of-sight introduced by Scho"n and Brunner (J Geod 1:47–57, 2008a) is extended.
Kermarrec, G., Schoеn, S. On the Ma'tern covariance family: a proposal for modeling temporal correlations based on turbulence theory,
Springer Berlin Heidelberg, 2014, с. 1061-1079.
Kermarrec, G., Schoеn, S. .
On the Ma'tern covariance family: a proposal for modeling temporal correlations based on turbulence theory.
: Springer Berlin Heidelberg, 2014, с. 1061-1079.
Kermarrec, G., Schoеn, S. (2014)
On the Ma'tern covariance family: a proposal for modeling temporal correlations based on turbulence theory,
: Springer Berlin Heidelberg, с. 1061-1079
Kermarrec, G., & Schoеn, S.
(2014).
On the Ma'tern covariance family: a proposal for modeling temporal correlations based on turbulence theory. Journal of Geodesy. Springer Berlin Heidelberg 88 (11), с. 1061-1079.
