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NCIP Seminars Navigation Links |
SeminarsOverviewThe explosive growth of modern communication systems and networks, especially in wireless settings, has been fueled by accurate probabilistic models for the communication channels over which these systems operate along with tractable mathematical frameworks for system analysis and design. Among other examples, communications has benefited greatly from probability theory, especially detection & estimation, for modeling the channel and developing algorithms for processing signals in noise. Another key area has been algebra, for imposing structure on the transmitted signals in the form of channel coding. Recent trends in these areas have seen the application of additional tools from mathematics. For example, random matrices and differential geometry have been gainfully applied to the analysis of multi-antenna wireless links. As another example, network calculus and random graph theory have offered new insights in the analysis of network flow and connectivity in wireless ad hoc and sensor networks. These developments present new opportunities for engineers and mathematicians alike, from specializing mathematical tools to particular engineering contexts, to extending mathematical frameworks to address various practical constraints. This seminar series will survey these new applications of both old and new mathematics, and bring together mathematicians and engineers working in these areas. The series benefits from the generous support of the Center for Applied Mathematics as well as the Department of Electrical Engineering at the University of Notre Dame. Schedule
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| J. Nicholas Laneman Last modified: 08/01/05 |
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