By Topic

The common randomness capacity of a pair of independent discrete memoryless channels

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
S. Venkatesan ; Cornell Univ., Ithaca, NY, USA ; V. Anantharam

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 max{min[HA+H(W|Q),I(P;V)]+min[HB +H(V|P), I(Q;W)]} 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

Published in:

IEEE Transactions on Information Theory  (Volume:44 ,  Issue: 1 )