(ε, n) Fixed-Length Strong Coordination Capacity

01/18/2021

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by   Giulia Cervia, et al.

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This paper investigates the problem of synthesizing joint distributions in the finite-length regime. For a fixed blocklength n and an upper bound on the distribution approximation ϵ, we prove a capacity result for fixed-length strong coordination. It is shown analytically that the rate conditions for the fixed-length regime are lower-bounded by the mutual information that appears in the asymptotical condition plus Q^-1(ϵ) √( V/n), where V is the channel dispersion, and Q^-1 is the inverse of the Gaussian cumulative distribution function.