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There is now a CONTENT FREEZE for Mercury while we switch to a new platform. It began on Friday, March 10 at 6pm and will end on Wednesday, March 15 at noon. No new content can be created during this time, but all material in the system as of the beginning of the freeze will be migrated to the new platform, including users and groups. Functionally the new site is identical to the old one. webteam@gatech.edu
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In this talk, we will briefly review the theory of convex optimization and semidefinite programming, and then show how they can be used to solve some important digital communication problems efficiently. Examples will be given to show that certain nonconvex and semi-infinite spectral mask constraints can be reformulated
as linear matrix inequalities. This facilitates the formulation of a
diverse class of filter and beamformer design problems as semidefinite programmes. Our results extend the well-known Positive-Real and Bounded-Real Lemmas from the systems and control literature.
