In this paper, we propose a new approach for wind profile extraction with Doppler radar. To perform this, we first focus on the analysis and modeling of VHF or UHF waves backscattered by clear-air turbulence. A physical description of the backscattered wave is given. This description involves a spectral model that includes a parametric profile of the Doppler spectrum. A parametric approach of the wind profile can be easily generated. The sounding volume is divided into slabs whose thickness is consistent with that of the expected homogeneous turbulent layer. The echo spectrum of each slab is supposed Gaussian. Thus, for the range gate, the backscattered spectrum is a priori non-Gaussian, since it is weighted by a nonconstant reflectivity. This represents a more realistic assumption than the classical ones. The realistic temporal model thereby obtained can be used in simulation, which provides a valable tool for testing the extraction algorithm. An original recursive fitting, in terms of maximum likelihood, between the experimentally recorded spectrum and the parametric candidate spectrum is described and implemented as a second-order, steepest-descent algorithm. This optimization problem is solved in a weighted fashion on the entire gate simultaneously. The regularized parametric method, described in this paper, is a way to minimize some of the drawbacks encountered with traditional methods. Simulations reveal good statistical performance compared with traditional methods. The algorithm is then tested on real data. To achieve this, original methods are proposed for noise suppression and clutter removal.