@Article{NMTMA-2-485, author = {}, title = {Convex Variational Formulation with Smooth Coupling for Multicomponent Signal Decomposition and Recovery}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2009}, volume = {2}, number = {4}, pages = {485--508}, abstract = {

A convex variational formulation is proposed to solve multicomponent signal processing problems in Hilbert spaces. The cost function consists of a separable term, in which each component is modeled through its own potential, and of a coupling term, in which constraints on linear transformations of the components are penalized with smooth functionals. An algorithm with guaranteed weak convergence to a solution to the problem is provided. Various multicomponent signal decomposition and recovery applications are discussed.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2009.m9009s}, url = {http://global-sci.org/intro/article_detail/nmtma/6037.html} }