The Kurtosis-corrected Tri-beta Filter Construction

Details

• Personal Author:
  Purser, R. James
• Corporate Authors:
  National Centers for Environmental Prediction (U.S.) ; Environmental Modeling Center (U.S.) ; Lynker Technologies.
• NOAA Program & Office:
  NWS (National Weather Service) ; EMC (Environmental Modelling Center) ; NCEP (National Centers for Environmental Prediction)
• 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.
• Keywords:
  Mathematical Models Numerical Weather Forecasting Research Mathematical Models Numerical Weather Forecasting
• Series:
  Office note (National Centers for Environmental Prediction (U.S.))   518
• DOI:
  https://doi.org/10.25923/kfag-e426
• Format:
  PDF
• Publisher:
  National Centers for Environmental Prediction (U.S.) ; Environmental Modeling Center (U.S.) ; Lynker Technologies.
• Document Type:
  Office Note
• License:
  https://creativecommons.org/publicdomain/zero/1.0/
• Rights Information:
  CC0 Public Domain
• Compliance:
  Submitted
• Main Document Checksum:
  urn:sha256:40f904e5fc4f8e1ed384ab9ac8c399cdbdec83e167b738076b8ae979ae1b5960
• Download URL:
  https://repository.library.noaa.gov/view/noaa/61274/noaa_61274_DS1.pdf
• File Type:
  [PDF - 1.37 MB ]