On the Maximal Diversity Order of Spatial Multiplexing with Transmit Antenna Selection
Abstract
Zhang et. al. recently derived upper and lower bounds on the achievable diversity of an N_R x N_T i.i.d. Rayleigh fading multiple antenna system using transmit antenna selection, spatial multiplexing and a linear receiver structure. For the case of L = 2 transmitting (out of N_T available) antennas the bounds are tight and therefore specify the maximal diversity order. For the general case with L <= min(N_R,N_T) transmitting antennas it was conjectured that the maximal diversity is (N_T-L+1)(N_R-L+1) which coincides with the lower bound. Herein, we prove this conjecture for the zero forcing and zero forcing decision feedback (with optimal detection ordering) receiver structures.
Keywords
Cite
@article{arxiv.cs/0702138,
title = {On the Maximal Diversity Order of Spatial Multiplexing with Transmit Antenna Selection},
author = {J. Jalden and B. Ottersten},
journal= {arXiv preprint arXiv:cs/0702138},
year = {2007}
}
Comments
10 pages. Submitted to the IEEE Transactions on Information Theory