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We consider a distributed binary hypothesis testing setup where multiple nodes send quantized information to a central processor, which is oblivious to the nodes&#x2019; statistics. We study the regime where the missed detection (type-II error) probability decays exponentially and the false alarm (type-I error) probability vanishes. For memoryless quantization, we characterize a tradeoff curve that yields a lower bound for the feasible region of type-II error exponents and the average number of bits sent under the null hypothesis. Moreover, we show that the tradeoff curve is approached at high rates with lattice quantization.

A Fundamental Limit of Distributed Hypothesis Testing Under Memoryless Quantization