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In this paper, the original simple adjoint method of Qiu and Xu is improved and tested for retrieving the 3D storm-scale wind field from single-Doppler radar data. The method incorporates single-radar data and background fields, along with a dynamical constraint, smoothness, and anelastic mass continuity constraint, in a cost function. The minimization of the cost function, with the desired fit to these constraints, is obtained in an iterative procedure. The current method is tested ondoi:10.1175/1520-0426(2001)018<0026:tdsavr>2.0.co;2 fatcat:ued2ofojvjc6xiqqqjhycgo2ta