# Diversity versus Channel Knowledge at Finite Block-Length Paper in proceedings, 2012

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.

## Author

### Wei Yang

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

### Giuseppe Durisi

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

### Yury Polyanskiy

Massachusetts Institute of Technology (MIT)

#### IEEE Information Theory Workshop (ITW), Lausanne, 3-7 September 2012

572-576 6404740
978-146730223-4 (ISBN)

Information and Communication Technology

### Subject Categories

Telecommunications

### DOI

10.1109/ITW.2012.6404740

978-146730223-4