• Bousquet, O., and Chong M. , 1998: A Multiple-Doppler Synthesis and Continuity Adjustment Technique (MUSCAT) to recover wind components from Doppler radar measurements. J. Atmos. Oceanic Technol., 15 , 343359.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Chong, M., and Cosma S. , 2000: A formulation of the continuity equation of MUSCAT for either flat or complex terrain. J. Atmos. Oceanic Technol., 17 , 15561565.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Chong, M., and Bousquet O. , 2001: On the application of MUSCAT to a ground-based dual-Doppler radar system. Meteor. Atmos. Phys., 78 , 133139.

  • de Elía, R., and Zawadzki I. , 2000: Sidelobe contamination in bistatic radars. J. Atmos. Oceanic Technol., 17 , 13131329.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Doviak, R. J., and Zrnić D. S. , 1993: Doppler Radar and Weather Observations. Academic Press, 562 pp.

  • Friedrich, K., 2002: Determination of three-dimensional wind-vector fields using a bistatic Doppler radar network. Ph.D. thesis, Fakultaet fuer Physik, Ludwig-Maximilians-Universitaet Muenchen, 135 pp.

  • Friedrich, K., and Hagen M. , 2004a: Wind synthesis and quality control of multiple-Doppler-derived horizontal wind fields. J. Appl. Meteor., 43 , 3857.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Friedrich, K., and Hagen M. , 2004b: Evaluation of wind vectors measured by a bistatic Doppler radar network. J. Atmos. Oceanic Technol., 21 , 18401854.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Georgis, J-F., Roux F. , and Hildebrand P. H. , 2000: Observation of precipitating systems over complex orography with meteorological Doppler radars: A feasibility study. Meteor. Atmos. Phys., 72 , 185202.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Lafore, J-P., and Coauthors, 1998: The Meso-NH atmospheric simulation system. Part I: Adiabatic formulation and control simulations. Ann. Geophys., 16 , 90109.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Press, W. H., Teukolsky S. A. , Vetterling W. T. , and Flannery B. P. , 1992: Numerical Recipes in C: The Art of Scientific Computing. 2nd ed. Cambridge University Press, 994 pp.

    • Search Google Scholar
    • Export Citation
  • Protat, A., and Zawadzki I. , 1999: A variational method for real-time retrieval of three-dimensional wind field from multiple-Doppler bistatic radar network data. J. Atmos. Oceanic Technol., 16 , 432449.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Satoh, S., and Wurman J. , 2003: Accuracy of wind field observed by a bistatic Doppler radar network. J. Atmos. Oceanic Technol., 20 , 10771091.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Schroth, A. C., Chandra M. S. , and Meischner P. , 1988: A C-band coherent polarimetric radar for propagation and cloud physics research. J. Atmos. Oceanic Technol., 5 , 803822.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Takaya, Y., and Nakazato M. , 2002: Error estimation of the synthesized two-dimensional horizontal velocity in a bistatic Doppler radar system. J. Atmos. Oceanic Technol., 19 , 7479.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Testud, J., and Chong M. , 1983: Three-dimensional wind field analysis from dual-Doppler radar data. Part I: Filtering, interpolating, and differentiating the raw data. J. Climate Appl. Meteor., 22 , 12041215.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Wurman, J., 1994: Vector winds from a single-transmitter bistatic dual-Doppler radar network. Bull. Amer. Meteor. Soc., 75 , 983994.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Wurman, J., Heckman S. , and Boccippio D. , 1993: A bistatic multiple-Doppler network. J. Appl. Meteor., 32 , 18021814.

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A Variational Correction Method as an Alternative to Forced Rejection of Sidelobe-Contaminated Bistatic Doppler Measurements

Michel ChongLaboratoire d’Aérologie, CNRS, and Université de Toulouse, Toulouse, France

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Nabil LamraniLaboratoire d’Aérologie, CNRS, and Université de Toulouse, Toulouse, France

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Martin HagenIntitut für Physik der Atmosphäre, DLR, Oberpfaffenhofen, Wessling, Germany

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Abstract

The problem of sidelobe contamination of bistatic apparent Doppler velocity measurements involved in a bistatic Doppler radar network is examined. So far in the context of 3D wind field analysis, by combining a traditional Doppler radar with one or more bistatic receivers, identification and hence removal of regions of high degrees of contamination were necessarily crucial steps to obtaining reliable wind fields. This study proposes an alternative solution to the forced rejection of bistatic Doppler data suspected to be contaminated by sidelobe echoes, on the basis of restoring the nonmeasured “actual” (i.e., noncontaminated) bistatic Doppler velocity from both monostatic radar and bistatic receiver measurements. The correction method is based on a modeled expression of the observed bistatic apparent Doppler velocity defined as the reflectivity-weighted average of actual Doppler velocity of particles within individual volume samples, including the antenna gain pattern of both transmitting and receiving radars. The searched actual Doppler velocity is a solution of an underdetermined inverse problem that can be handled as a constrained linear inversion problem, through a variational least squares analysis method.

The performances of the proposed method are analyzed, using simulated radar observations involving one remote receiver. An example of application to experimental data collected by the Deutsches Zentrum für Luft und Raumfahrt (DLR) bistatic Doppler radar network within a moderate precipitation system observed on 8 May 2000 in Germany is also presented. Pseudo-Doppler observations of a tropical squall-line system are used to quantify the effective improvement of the correction method on the bistatic Doppler velocity and hence the retrieved 3D wind field. Statistics of the differences are presented between observed and idealized (sidelobe free) velocity structures on the one hand, and corrected and idealized velocity structures on the other hand. Clearly shown is the very low level of the corrected minus idealized differences (mean and standard deviation) against the significantly high level of the observed minus idealized differences. As previously observed, maximum correction occurs in regions of potentially high gradients of reflectivity. It is also found that regions of low observed minus idealized differences remain unchanged after correction, which means that the sidelobe-correction method only acts on needed regions and does not introduce any artificial modification.

Corresponding author address: Michel Chong, Laboratoire d’Aérologie, 14 Avenue Edouard Belin, 31400 Toulouse, France. Email: michel.chong@aero.obs-mip.fr

Abstract

The problem of sidelobe contamination of bistatic apparent Doppler velocity measurements involved in a bistatic Doppler radar network is examined. So far in the context of 3D wind field analysis, by combining a traditional Doppler radar with one or more bistatic receivers, identification and hence removal of regions of high degrees of contamination were necessarily crucial steps to obtaining reliable wind fields. This study proposes an alternative solution to the forced rejection of bistatic Doppler data suspected to be contaminated by sidelobe echoes, on the basis of restoring the nonmeasured “actual” (i.e., noncontaminated) bistatic Doppler velocity from both monostatic radar and bistatic receiver measurements. The correction method is based on a modeled expression of the observed bistatic apparent Doppler velocity defined as the reflectivity-weighted average of actual Doppler velocity of particles within individual volume samples, including the antenna gain pattern of both transmitting and receiving radars. The searched actual Doppler velocity is a solution of an underdetermined inverse problem that can be handled as a constrained linear inversion problem, through a variational least squares analysis method.

The performances of the proposed method are analyzed, using simulated radar observations involving one remote receiver. An example of application to experimental data collected by the Deutsches Zentrum für Luft und Raumfahrt (DLR) bistatic Doppler radar network within a moderate precipitation system observed on 8 May 2000 in Germany is also presented. Pseudo-Doppler observations of a tropical squall-line system are used to quantify the effective improvement of the correction method on the bistatic Doppler velocity and hence the retrieved 3D wind field. Statistics of the differences are presented between observed and idealized (sidelobe free) velocity structures on the one hand, and corrected and idealized velocity structures on the other hand. Clearly shown is the very low level of the corrected minus idealized differences (mean and standard deviation) against the significantly high level of the observed minus idealized differences. As previously observed, maximum correction occurs in regions of potentially high gradients of reflectivity. It is also found that regions of low observed minus idealized differences remain unchanged after correction, which means that the sidelobe-correction method only acts on needed regions and does not introduce any artificial modification.

Corresponding author address: Michel Chong, Laboratoire d’Aérologie, 14 Avenue Edouard Belin, 31400 Toulouse, France. Email: michel.chong@aero.obs-mip.fr

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