Exact Solutions to Super Resolution on Semi-Algebraic Domains in Higher Dimensions
Exact Solutions to Super Resolution on Semi-Algebraic Domains in Higher Dimensions
We investigate the multi-dimensional super resolution problem on closed semi-algebraic domains for various sampling schemes such as Fourier or moments. We present a new semidefinite programming (SDP) formulation of the l <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -minimization in the space of Radon measures in the multi-dimensional frame on semi-algebraic sets. While standard …