A General Formula for Uniform Common Randomness Capacity

05/09/2022

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by   Rami Ezzine, et al.

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We generalize the uniform common randomness capacity formula, initially established by Ahslwede and Csiszár for a two-source model with unidirectional communication over rate-limited discrete noiseless channels to arbitrary single-user channels. In our proof, we will make use of the transmission capacity formula established by Verdú and Han for arbitrary point-to-point channels.