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TIT
1998

The Common Randomness Capacity of a Pair of Independent Discrete Memoryless Channels

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The Common Randomness Capacity of a Pair of Independent Discrete Memoryless Channels
—We study the following problem: two agents Alice and Bob are connected to each other by independent discrete memoryless channels. They wish to generate common randomness, i.e., agree on a common random variable, by communicating interactively over the two channels. Assuming that Alice and Bob are allowed access to independent external random sources at rates (in bits per step of communication) of HA and HB, respectively, we show that they can generate common randomness at a rate of maxfmin[HA + H(W j Q); I(P ; V )] + min[HB + H(V j P ); I(Q; W )]g bits per step, by exploiting the noise on the two channels. Here, V is the channel from Alice to Bob, and W is the channel from Bob to Alice. The maximum is over all probability distributions P and Q on the input alphabets of V and W , respectively. We also prove a strong converse which establishes the above rate as the highest attainable in this situation.
Sivarama Venkatesan, Venkat Anantharam
Added 23 Dec 2010
Updated 23 Dec 2010
Type Journal
Year 1998
Where TIT
Authors Sivarama Venkatesan, Venkat Anantharam
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