Abstract

Upper and lower bounds are derived on the capacity and fading number
of multi-antenna systems operating over flat fading channels. The
fading process may exhibit memory, and the receiver is assumed to
have access to some incomplete (possibly null) side information
related to the fading realization. For single-input single-output
(SISO) systems these bounds typically yield an exact expression for
the system's fading number. This expression is evaluated explicitly
in the SISO Gaussian case as a function of the fading mean, its
power spectral density, and the mutual information rate between the
fading process and side information. In the absence of side
information, the fading number of such systems depends only on the
mean and variance of the fading process and on the minimum mean
squared-error in predicting the present fading from the past; it is
not directly related to the Doppler spread or coherence time.

-||-   _|_ _|_     /    __|__   Stefan M. Moser
[-]     --__|__   /__\    /__   Senior Scientist, ETH Zurich, Switzerland
_|_     -- --|-    _     /  /   Adjunct Professor, National Yang Ming Chiao Tung University, Taiwan
/ \     []  \|    |_|   / \/    Web: https://moser-isi.ethz.ch/

Last modified: Wed May 10 13:01:03 2006