Cooperative multi-sensor detection under variable-length coding
Résumé
We investigate the testing-against-independence problem over a cooperative MAC with two sensors and a single detector under an average rate constraint on the sensors-detector links. For this setup, we design a variable-length coding scheme that maximizes the achievable type-II error exponent when the type-I error probability is limited to $\epsilon$. Similarly to the single-link result, we show here that the optimal error exponent depends on $\epsilon$ and that variable-length coding allows to increase the rates over the optimal fixed-length coding scheme by the factor $(1-\epsilon)^{-1}$.
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