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A forward operator and its adjoint for GPS slant total delays
Author(s) -
Zus Florian,
Dick Galina,
Heise Stefan,
Wickert Jens
Publication year - 2015
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/2014rs005584
Subject(s) - data assimilation , operator (biology) , global positioning system , tangent , computer science , differential operator , mathematics , differential gps , algorithm , inversion (geology) , mathematical analysis , meteorology , geometry , geology , physics , telecommunications , biochemistry , chemistry , repressor , transcription factor , gene , paleontology , structural basin
In a recent study we developed a fast and accurate algorithm to compute Global Positioning System (GPS) Slant Total Delay (STDs) utilizing numerical weather model data. Having developed a forward operator we construct in this study the tangent linear (adjoint) operator by application of the chain rule of differential calculus in forward (reverse) mode. Armed with these operators we show in a simulation study the potential benefit of GPS STDs in inverse modeling. We conclude that the developed operators are tailored for three (four)‐dimensional variational data assimilation and/or travel time tomography.