A Random Matrix Approach to the Finite Blocklength Regime of MIMO Fading Channels

Abstract : This paper provides a novel central limit theorem (CLT) for the information density of the MIMO Rayleigh fading channel under white Gaussian inputs, when the data blocklength n and the number of transmit and receive antennas K and N , respectively, are large but of similar order of magnitude. This CLT is used to derive closed-form upper bounds on the error probability via an input-constrained version of Feinstein's lemma by Polyanskiy et al. and the second-order approximation of the coding rate. Numerical evaluations suggest that the normal approximation is tight for reasonably small values of n, K, N.
Document type :
Conference papers
Complete list of metadatas

https://hal-supelec.archives-ouvertes.fr/hal-00771243
Contributor : Ejder Bastug <>
Submitted on : Tuesday, January 8, 2013 - 11:40:27 AM
Last modification on : Monday, December 17, 2018 - 2:28:06 PM
Long-term archiving on : Tuesday, April 9, 2013 - 3:52:04 AM

File

finite_blocklength_final.pdf
Files produced by the author(s)

Identifiers

Citation

Jakob Hoydis, Romain Couillet, Pablo Piantanida, Mérouane Debbah. A Random Matrix Approach to the Finite Blocklength Regime of MIMO Fading Channels. 2012 IEEE International Symposium on Information Theory Proceedings, Jul 2012, Cambridge, United States. pp.2181 - 2185, ⟨10.1109/ISIT.2012.6283838⟩. ⟨hal-00771243⟩

Share

Metrics

Record views

155

Files downloads

326