Algorithms and structures for source separation based on the constant modulus property

We propose two structures and theirs associated algorithms designed to solve the blind source separation problem in the presence of noise and interferences. Both structures exploit the non convexity of the Constant Modulus cost function, finding its multiple local minima. A convergence analysis shows that both schemes achieve the desired solution, separately extracting the sources of interest while rejecting noise and interferences, provided that they do not share the constant modulus property.Peer ReviewedPostprint (published version

Half-space theorems for properly immersed surfaces in R3 with prescribed mean curvature

Motivated by the large ammount of results obtained for minimal and positive constant mean curvature surfaces in several ambient spaces, the aim of this paper is to obtain half-space theorems for properly immersed surfaces in R3 whose mean curvature is given as a prescribed function of its Gauss map. In order to achieve this purpose, we will study the behavior at in nity of a 1-parameter family of properly embedded annuli that are analogous to the usual minimal catenoids.The author was partially supported by MICINN-FEDER Grant No. MTM2016-80313-P, Junta de Andalucía Grant No. FQM325 and FPI-MINECO Grant No. BES-2014-067663