@Article{NMTMA-2-485,
author = {Luis M. Briceño-Arias and Patrick L. Combettes},
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 = {<p style="text-align: justify;">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.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2009.m9009s},
url = {http://global-sci.org/intro/article_detail/nmtma/6037.html}
}