Journal article

Optimization of the fixed global observing network in a simple model

CH Bishop, CA Reynolds, MK Tippett

Journal of the Atmospheric Sciences | AMER METEOROLOGICAL SOC | Published : 2003


An exact closed form expression for the infinite time analysis and forecast error covariances of a Kalman filter is used to investigate how the locations of fixed observing platforms such as radiosonde stations affect global distributions of analysis and forecast error variance. The solution pertains to a system with no model error, time-independent nondefective unstable dynamics, time-independent observation operator, and time-independent observation error covariance. As far as the authors are aware, the solutions are new. It is shown that only nondecaying normal modes (eigenvectors of the dynamics operator) are required to represent the infinite time error covariance matrices. Consequently..

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University of Melbourne Researchers