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Inverse methods for atmospheric sounding : theory and practice /

Remote sounding of the atmosphere has proved to be a fruitful method of obtaining global information about the atmospheres of the earth and other planets. This book treats comprehensively the inverse problem of remote sounding, and discusses a wide range of retrieval methods for extracting atmospher...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rodgers, C. D. (Clive D.) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; [River Edge, N.J.] : World Scientific, [©2000]
Colección:Series on atmospheric, oceanic and planetary physics ; v. 2.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Atmospheric Remote Sounding Methods
  • Thermal emission nadir and limb sounders
  • Scattered solar radiation
  • Absorption of solar radiation
  • Active techniques
  • Simple Solutions to the Inverse Problem
  • Information Aspects
  • Formal Statement of the Problem
  • State and measurement vectors
  • The forward model
  • Weighting function matrix
  • Vector spaces
  • Linear Problems without Measurement Error
  • Subspaces of state space
  • Identifying the null space and the row space
  • Linear Problems with Measurement Error
  • Describing experimental error
  • The Bayesian approach to inverse problems
  • Bayes' theorem
  • Example: The Linear problem with Gaussian statistics
  • Degrees of Freedom
  • How many independent quantities can be measured?
  • Degrees of freedom for signal
  • Information Content of a Measurement
  • The Fisher information matrix
  • Shannon information content
  • Entropy of a probability density function
  • Entropy of a Gaussian distribution
  • Information content in the linear Gaussian case
  • The Standard Example: Information Content and Degrees of Freedom
  • Probability Density Functions and the Maximum Entropy Principle
  • Error Analysis and Characterisation
  • Characterisation
  • The forward model
  • The retrieval method
  • The transfer function
  • Linearisation of the transfer function
  • Interpretation
  • Retrieval method parameters
  • Error Analysis
  • Smoothing error
  • Forward model parameter error
  • Forward model error
  • Retrieval noise
  • Random and systematic error
  • Representing covariances.