Statistical errors in the determination of wind velocities by the spaced antenna technique |
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| Institution: | 1. State Key Laboratory of Mar. Geol., Tongji University, Shanghai 200092, China;2. Department of Atmospheric Sciences, School of Ocean and Earth Science and Technology, University of Hawaii at Manoa, Honolulu, HI 96825, USA;3. Earth System Modeling Center, Nanjing University of Information Science and Technology, Nanjing 210044, China;4. Institute of Global Environmental Change, Xi''an Jiaotong University, Xi''an 710049, China;5. Department of Earth Sciences, University of Minnesota, Minneapolis, MN 55455, USA;6. CAS/NCAR, National Center for Atmospheric Research, 3090 Center Green Dr., Boulder, CO 80301, USA;7. Key Laboratory of Cenozoic Geology and Environment, Institute of Geology and Geophysics, Chinese Academy of Sciences, P.O. Box 9825, Beijing 100029, China;8. Future Earth, Global Hub Paris, 4 Place Jussieu, UPMC-CNRS, 75005 Paris, France;9. Laboratory Climate, Ocean and Atmospheric Studies, School of Physics, Peking University, Beijing 100871, China;10. Center for Climatic Research, University of Wisconsin Madison, Madison, WI 53706, USA;1. Center for Monsoon System Research, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100190, China;2. College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;3. Department of Atmospheric Sciences, Yunnan University, Kunming 650500, China |
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| Abstract: | This paper is concerned with the statistical errors which are present when wind velocities in the atmosphere are determined by the radar method known as the spaced antenna technique. It is assumed that the (complex) data is processed by the method known as full correlation analysis (FCA). A theory is first developed to give the error in the determination of the position of the maximum of a cross-correlation function and the value of lag such that the auto-correlation falls to a value equal to that of the crosscorrelation at zero lag. These are the basic quantities needed for the application of FCA. These error estimates are tested with a variety of numerically simulated data and shown to be realistic. The results are applied to real data and, using the standard techniques for the propagation of errors, they lead to estimates of the errors in the derived wind velocities. In order to test these estimates, an experiment was carried out in which two independent wind determinations were made simultaneously. The differences were used to obtain experimental estimates of the errors. It was found that the theory overestimates the error in the wind velocities by about 50%. Possible reasons for this are discussed. |
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