The feedback capacity of a single-input single-output fading channel
with memory is investigated. It is shown that asymptotically, as the
signal-to-noise ratio (SNR) tends to infinity, noiseless feedback
does not increase capacity.

More specifically, for finite-energy stationary and ergodic fading
processes that are regular (i.e., that have a finite differential
entropy rate) feedback does not increase the "fading number"; and for
Gaussian fading processes that are non-regular feedback does not
increase the "pre-log".


Channel capacity, fading channels, fading number, feedback, high SNR,
pre-log, regular and non-regular fading processes.

-||-   _|_ _|_     /    __|__   Stefan M. Moser
[-]     --__|__   /__\    /__   Senior Researcher & Lecturer, ETH Zurich, Switzerland
_|_     -- --|-    _     /  /   Adj. Professor, National Chiao Tung University (NCTU), Taiwan
/ \     []  \|    |_|   / \/    Web: http://moser-isi.ethz.ch/

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