Finite blocklength analysis of the MISO Coherent Block Fading Channel

The Coherent MISO Block Fading Channel is a wireless communication channel model in which the transmitter has access to multiple antennas while the receiver has access to one. This model is becoming increasingly important in communication networks because a base station is often able to use many antennas whereas smaller receivers, such as mobile devices, have a strict size limitation. The capacity of this channel is known, but the finite blocklength limits of codes over this channel is still unknown. In this thesis, we analyze these finite blocklength fundamental limits. Specifically, we give the coding theorem showing the achievable dispersion of this channel. We identify that this channel has non-unique capacity achieving input distributions, and although these distribution all yield the same capacity, some distributions in this set yield a better dispersion than others. We show that orthogonal design input distributions achieve capacity in dimensions where they exist, and that they strictly outperform schemes that purely aim to maximize multiplexing gain from a finite blocklength perspective.

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2014

Author dc:creator

• Collins, Austin Daniel

Advisor dc:contributor.advisor

• Yury Polyanskiy.

• Electrical Engineering and Computer Science.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/93740

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/93740