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Information measures for global geopotential models
Abstract The survey of the gravity field of the Earth is interpreted as a process of communication. The information inferred from the data is represented in the form of geopotential models. The paper presents a quantitative analysis of this information for spherical harmonic expansions of the potential in terms of information measures, particularly the firstKullback-Leiblerinformation number for continuous random vectors. Common degree variance models are used for the construction of prior information. The informational viewpoint is compared to the usual interpretation in terms of errors or error degree variances.
Information measures for global geopotential models
Abstract The survey of the gravity field of the Earth is interpreted as a process of communication. The information inferred from the data is represented in the form of geopotential models. The paper presents a quantitative analysis of this information for spherical harmonic expansions of the potential in terms of information measures, particularly the firstKullback-Leiblerinformation number for continuous random vectors. Common degree variance models are used for the construction of prior information. The informational viewpoint is compared to the usual interpretation in terms of errors or error degree variances.
Information measures for global geopotential models
Lehmann, Rüdiger (author)
Journal of Geodesy ; 70
1996
Article (Journal)
English
BKL:
38.73
Geodäsie
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