Wind velocity observation with a CW Doppler radar

We study the problem of gathering information about wind velocity from continuous-wave clear-air Doppler radar measurements. The radar is assumed to be a monostatic fixed-frequency Doppler radar, and the wind velocity as well as the reflectivity are modeled as random fields with statistical parameters depending on the altitude. We seek to reconstruct the hodograph curve of the wind profile, i.e., the projection of the wind velocity profile to the ground plane. We show that under certain assumptions of the wind field, the problem reduces to a well-known problem occurring in classical X-ray tomography. Numerical simulations based on the use of X-ray inversion methods are presented.