Fixed-Length Strong Coordination

Giulia Cervia; Tobias Oechtering; Mikael Skoglund

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arXiv · 1909.12691

Fixed-Length Strong Coordination

Giulia Cervia·Tobias Oechtering·Mikael Skoglund

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Abstract

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 $\varepsilon$, a coding scheme is proposed such that the induced joint distribution is $\varepsilon$-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.

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Giulia Cervia, Tobias Oechtering, Mikael Skoglund. 2019-09-27. Fixed-Length Strong Coordination. https://arxiv.org/abs/1909.12691

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