  High sidelobe level and direction of arrival (DOA) estimation sensitivity are
two major disadvantages of the Capon beamforming. To deal with these problems,
this paper gives an overview of a series of robust Capon beamforming methods
via shaping beam pattern, including sparse Capon beamforming, weighted sparse
Capon beamforming, mixed norm based Capon beamforming, total variation
minimization based Capon beamforming, mainlobe-to-sidelobe power ratio
maximization based Capon beamforming. With these additional structure-inducing
constraints, the sidelobe is suppressed, and the robustness against DOA
mismatch is improved too. Simulations show that the obtained beamformers
outperform the standard Capon beamformer.
