On Capacity Scaling of (Long) MIMO Amplify-and-Forward Multi-Hop Networks

Authors

Jörg Wagner and Armin Wittneben

Reference

IEEE Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, Oct. 2008.

[BibTeX, LaTeX, and HTML Reference]

Abstract

Consider a multiple-input-multiple-output multi-hop network consisting of n_S non-cooperating source antennas, n_D fully cooperating destination antennas, and L clusters of n_R non-cooperating relay antennas each. The source signals reach the destination antennas via L+1 hops by traversing all relay clusters. Relay antennas scale their receive signal by a common constant before retransmission (amplify-and-forward). We perform an asymptotic capacity analysis assuming the elements of the (per hop) channel matrices to satisfy the conditions for the Marcenko-Pastur law. Our result: In the limit L->\infty sum-capacity scales linearly with min{n_S,n_D}, if and only if L scales no faster than linearly with the ratio n_R/min{n_S,n_D}.


Download this document:

 

Copyright Notice: © 2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.