Abstract

We derive new upper and lower bounds on the fading number of
multiple-input single-output (MISO) fading channels of general (not
necessarily Gaussian) regular law with spatial and temporal memory.
The fading number is the second term, after the double-logarithmic
term, of the high signal-to-noise ratio (SNR) expansion of channel
capacity.

In case of an isotropically distributed fading vector it is proven
that the upper and lower bound coincide, i.e., the general MISO
fading number with memory is known precisely.

The upper and lower bounds show that a type of beam-forming is
asymptotically optimal.

Keywords

Beam-forming, channel capacity, fading number, flat fading,
high SNR, memory, MISO, multiple-antenna, non-coherent.

-||-   _|_ _|_     /    __|__   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 13:02:15 2006