Communicating Lists Over a Noisy Channel

Mustafa Anil Kocak; Elza Erkip

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arXiv · 1410.3013

Communicating Lists Over a Noisy Channel

Mustafa Anil Kocak·Elza Erkip

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Abstract

This work considers a communication scenario where the transmitter chooses a list of size K from a total of M messages to send over a noisy communication channel, the receiver generates a list of size L and communication is considered successful if the intersection of the lists at two terminals has cardinality greater than a threshold T. In traditional communication systems K=L=T=1. The fundamental limits of this setup in terms of K, L, T and the Shannon capacity of the channel between the terminals are examined. Specifically, necessary and/or sufficient conditions for asymptotically error free communication are provided.

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Mustafa Anil Kocak, Elza Erkip. 2014-10-11. Communicating Lists Over a Noisy Channel. https://arxiv.org/abs/1410.3013

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