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  4. A Fundamental Limit of Distributed Hypothesis Testing Under Memoryless Quantization
 
working paper

A Fundamental Limit of Distributed Hypothesis Testing Under Memoryless Quantization

Inan, Yunus  
•
Kayaalp, Mert  
•
Sayed, Ali H.  
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November 12, 2021

We consider a distributed binary hypothesis testing setup where multiple nodes send quantized information to a central processor, which is oblivious to the nodes’ statistics. We study the regime where the type-II error decays exponentially and the type-I error 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.

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Dist_hyp_test_long.pdf

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Preprint

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openaccess

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