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The Kurtosis-corrected Tri-beta Filter Construction
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2024
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Description:This note describes a refinement of the finite-support beta line filters that have been proposed to replace the operational Recursive Filters used to synthesize the background error covariances of NOAA’s Grid-point Statistical Interpolation scheme. Each beta filter is characterized by an exponent parameter p and an interval of application. The proposed refinement, referred to as the “tri-beta” filter, involves constructing a linear superposition of three such filters with consecutive exponent parameters, sharing the same interval of application, and which has the feature of possessing a vanishing excess kurtosis. This refinement of the shape of the filter profile means that the synthesis of the qusai-Gaussian contributions to the covariance will more closely conform to the intended Gaussian shape.
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Rights Information:CC0 Public Domain
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Compliance:Submitted
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