Articles | Volume 12, issue 10
Research article
23 Oct 2019
Research article |  | 23 Oct 2019

A Gaussian mixture method for specific differential phase retrieval at X-band frequency

Guang Wen, Neil I. Fox, and Patrick S. Market

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Cited articles

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Aydin, K., Bringi, V., and Liu, L.: Rain-rate estimation in the presence of hail using S-band specific differential phase and other radar parameters, J. Appl. Meteorol., 34, 404–410, 1995. a
Balakrishnan, N. and Zrnić, D. S.: Estimation of rain and hail rates in mixed-phase precipitation, J. Atmos. Sci., 47, 565–583, 1990. a
Berne, A. and Krajewski, W. F.: Radar for hydrology: Unfulfilled promise or unrecognized potential?, Adv. Water Res., 51, 357–366, 2013. a
Bishop, C. M.: Pattern recognition and machine learning, Springer, New York, 2006. a
Short summary
In this study, we propose a probabilistic method based on the Gaussian mixture model to estimate the slope of a data profile. The Gaussian mixture method (GMM) not only obtains the expected value of the slope by differentiating the conditional expectation of the data, but also yields the variance of the slope regarding the errors in the calculation of the first derivative.