An Adaptation of the Barnes Filter Applied to the Objective Analysis of Radar Data

Abstract Spatial objective analysis is routinely performed in several applications that utilize radar data. Because of their relative simplicity and computational efficiency, one-pass distance-dependent weighted-average (DDWA) schemes that utilize either the Cressman or the Barnes filter are often used in these applications. The DDWA schemes that have traditionally been used do not, however, directly account for two fundamental characteristics of radar data. These are 1) the spacing of radar data depends on direction and 2) radar data density systematically decreases with increasing range. A DDWA scheme based on an adaptation of the Barnes filter is proposed. This scheme, termed the adaptive Barnes (A-B) scheme, explicitly takes into account radar data properties 1 and 2 above. Both theoretical and experimental investigations indicate that two attributes of the A-B scheme, direction-splitting and automatic adaptation to data density, may facilitate the preservation of the maximum amount of meaningful info...

[1]  Charles A. Doswell,et al.  Radar Data Objective Analysis , 2000 .

[2]  C. Doswell,et al.  Derivative Estimation from Marginally Sampled Vector Point Functions , 1988 .

[3]  Rodger A. Brown,et al.  Error Sources and Accuracy of Vertical Velocities Computed from Multiple-Doppler Radar Measurements in Deep Convective Storms , 1987 .

[4]  D. Zrnic,et al.  Doppler Radar and Weather Observations , 1984 .

[5]  S. Barnes,et al.  Mesoscale objective map analysis using weighted time-series observations , 1973 .

[6]  P. Pauley On the Evaluation of Boundary Errors in the Barnes Objective Analysis Scheme , 1990 .

[7]  Y. Sasaki SOME BASIC FORMALISMS IN NUMERICAL VARIATIONAL ANALYSIS , 1970 .

[8]  G. P. Cressman AN OPERATIONAL OBJECTIVE ANALYSIS SYSTEM , 1959 .

[9]  A THEORETICAL INTERPRETATION OF ANISOTROPICALLY WEIGHTED SMOOTHING ON THE BASIS OF NUMERICAL VARIATIONAL ANALYSIS , 1971 .

[10]  AN ANALYSIS OF THE CLEAR AIR PLANETARY BOUNDARY LAYER WIND SYNTHESIZED FROM NSSL'S DUAL DOPPLER-RADAR DATA , 1979 .

[11]  R. L. Mancuso,et al.  OBJECTIVE ANALYSIS OF ENVIRONMENTAL CONDITIONS ASSOCIATED WITH SEVERE THUNDERSTORMS AND TORNADOES1 , 1968 .

[12]  Richard J. Doviak,et al.  Error Estimation in Wind Fields Derived from Dual-Doppler Radar Measurement , 1976 .

[13]  Charles A. Doswell,et al.  On Measuring the Degree of Irregularity in an Observing Network , 1997 .

[14]  J. Testud,et al.  Three-Dimensional Wind Field Analysis from Dual-Doppler Radar Data. Part I: Filtering, Interpolating and Differentiating the Raw Data , 1983 .

[15]  Gerald M. Heymsfield,et al.  Statistical Objective Analysis of Dual-Doppler Radar Data from a Tornadic Storm , 1976 .

[16]  R. Bracewell The Fourier Transform and Its Applications , 1966 .

[17]  J. Tribbia,et al.  Spectral fidelity of gappy data , 1976 .

[18]  R. L. Vaughan,et al.  An Economical Procedure for Cartesian Interpolation and Display of Reflectivity Factor Data in Three-Dimensional Space , 1979 .

[19]  Charles A. Doswell,et al.  A Comparison of Two Objective Analysis Techniques for Profiler Time-Height Data , 1995 .

[20]  M. J. Carpenter,et al.  Doppler Radar Sampling Limitations in Convective Storms , 1985 .

[21]  Lawrence L. Takacs,et al.  A Two-Step Scheme for the Advection Equation with Minimized Dissipation and Dispersion Errors , 1985 .

[22]  Patricia M. Pauley,et al.  The theoretical, discrete, and actual response of the Barnes objective analysis scheme for one- and two-dimensional fields , 1990 .

[23]  D. Jorgensen,et al.  Multi-beam techniques for deriving wind fields from airborne doppler radars , 1996 .

[24]  S. Barnes,et al.  A Technique for Maximizing Details in Numerical Weather Map Analysis , 1964 .

[25]  Juanzhen Sun,et al.  Dynamical and Microphysical Retrieval from Doppler Radar Observations Using a Cloud Model and Its Adjoint. Part II: Retrieval Experiments of an Observed Florida Convective Storm , 1998 .

[26]  M. Skolnik,et al.  Introduction to Radar Systems , 2021, Advances in Adaptive Radar Detection and Range Estimation.

[27]  L. Gandin Objective Analysis of Meteorological Fields , 1963 .

[28]  Charles A. Doswell,et al.  Obtaining Meteorologically Significant Surface Divergence Fields Through the Filtering Property of Objective Analysis , 1977 .