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Capacity Results for Finite-Field Relay Networks

Mathematics of Relaying and Cooperation in Communication Networks
April 11,2006 04:00 PM to 04:30 PM
Speakers:
Gupta, Piyush
VMath - The Next Generation for Math Lectures on Streaming Video

Abstract:

Recent efforts in analyzing the capacity of wireless networks have focused on modeling the broadcast nature of the medium but not interference. This is due to the challenging nature of studying the latter -- for even simple network configurations, such as the single-relay channel or the interference channel, the capacity regions are not yet known. Thus we study a simplified model, where the network operates over a finite field, but which incorporates both the broadcast and interference aspects of the medium, as well as allows for fading. For this model, we obtain an upper bound on the single-source multicast capacity, and present a network coding strategy that achieves rates arbitrarily close to the upper bound under uniform i.i.d. fading. We further show that channel fading in conjunction with network coding can lead to large gains in the multicast capacity over no fading.

Joint work with Sandeep Bhadra and Sanjay Shakkottai (UT-Austin).

Lecture #12305

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