A new approach for the source problem based on the maximum entropy principle
This paper proposes a new mathematical approach that can be employed for the source localization problem. An inverse problem is thus established by conjecturing the relation between the sources and a measurement set data that is provided by a network of detectors deployed into a domain. Since the number of sources can be greater than the number of available measurements, the paper focuses on the under-determined inverse problem. Specifically the existence and uniqueness of the solution is investigated within the framework of the information theory and more precisely by employing the maximum information entropy principle. Applications and future research directions are outlined in the last section of the paper.