Fixed-Length Strong Coordination

09/27/2019

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by   Giulia Cervia, et al.

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We consider the problem of synthesizing joint distributions of signals and actions over noisy channels in the finite-length regime. For a fixed blocklength n and an upper bound on the distance ε, a coding scheme is proposed such that the induced joint distribution is ε-close in L^1 distance to a target i.i.d. distribution. The set of achievable target distributions and rate for asymptotic strong coordination can be recovered from the main result of this paper by having n that tends to infinity.