Diversity versus Channel Knowledge at Finite Block-Length

Details Diversity versus Channel Knowledge at Finite Block-Length Diversity versus Channel Knowledge at Finite Block-Length

2012-04-13

arxiv.org/abs/1204.2927v1

Computer Science

Information Theory

5 pages, submitted to ITW 2012

Scientific paper

We study the maximal achievable rate R*(n, \epsilon) for a given block-length n and block error probability \epsilon over Rayleigh block-fading channels in the noncoherent setting and in the finite block-length regime. Our results show that for a given block-length and error probability, R*(n, \epsilon) is not monotonic in the channel's coherence time, but there exists a rate maximizing coherence time that optimally trades between diversity and cost of estimating the channel.

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