A Closer Look at the Classical Fixed-Point Analysis of Wireless Local Area Networks
Indian Institute of Science
Thursday, May 11, 2017|
4:00pm - 5:00pm
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About the Event
Performance analysis of wireless local area networks is often done by modeling the evolving interactions between nodes as coupled Markov chains. The evolution of the empirical distribution of nodes across the back-off states, in the limit of a large number of nodes and under a suitable scaling of the back-off parameters, is characterized by an ODE called the McKean-Vlasov equation. The classical fixed-point analysis applies when the ODE has a globally asymptotically stable equilibrium. In more general cases, when the ODE has several stable limit sets, one needs a finer analysis. The talk will provide an overview of the Freidlin-Wentzell theory and its applicability to the case of multiple stable limit sets.
Rajesh Sundaresan is a Professor at the ECE department and an Associate Faculty of the Robert Bosch Centre for Cyber-Physical Systems at the Indian Institute of Science, Bangalore, India. He received his Ph.D. from Princeton University in 1999, was a system design engineer at Qualcomm from 1999-2005, and has been with the Indian Institute of Science since 2005. He was an associate editor for the IEEE Transactions on Information Theory from 2012-2015. His interests are in communication, computation, and control over networks.
Contact: Judi Jones
Faculty Sponsor: Vijay Subramanian
Open to: Public