An Efficient, High-Rate Scheme for Private Information Retrieval over the Gaussian MAC
CoRR(2024)
摘要
This paper addresses the challenge of the private information retrieval (PIR)
problem wherein there are N replicated non-communicating databases containing
the same M messages and a user who wants to retrieve one of the messages
without revealing the wanted message's index to the databases. In addition, we
assume a block-fading additive white Gaussian noise multiple access channel
(AWGN MAC) linking the user and the databases. Shmuel's contribution
, presenting a joint channel-PIR scheme utilizing the
C&F protocol, has shown the potential of a joint channel-PIR scheme over a
separated scheme. In this paper, we propose an improved joint channel-PIR
approach tailored for the PIR problem with N databases over a block-fading
AWGN. Unlike the C&F protocol, our scheme offers reduced computational
complexity while improving the scaling laws governing the achievable rate. Our
achievable rate scales with the number of databases N and the power P
similarly to the channel capacity without the privacy constraint and
outperforms the C&F-based approach. Furthermore, our analysis demonstrates
that our improved rate exhibits only a finite gap from the channel capacity of
one bit as N increases.
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