working paper
A Fundamental Limit of Distributed Hypothesis Testing Under Memoryless Quantization
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.
Type
working paper
Author(s)
Date Issued
2021-11-12
Editorial or Peer reviewed
NON-REVIEWED
Written at
EPFL
Available on Infoscience
November 12, 2021
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