Gaussian) single-input multiple-output (SIMO) fading channels with

memory. This is the second term, after the double-logarithmic term, of

the high signal-to-noise ratio (SNR) expansion of channel

capacity. The transmitter and receiver are assumed to be cognizant of

the probability law governing the fading but not of its

realization.

It is demonstrated that the fading number is achieved by independent

and identically distributed (i.i.d.) circularly symmetric inputs of

squared magnitude whose logarithm is uniformly distributed over an

SNR-dependent interval. The upper limit of the interval is the

logarithm of the allowed transmit power, and the lower limit tends to

infinity sublogarithmically in the SNR. The converse relies

alia

escape to infinity.

Lower and upper bounds on the fading number for Gaussian fading are

also presented. These are related to the mean squared-errors of the

one-step predictor and the one-gap interpolator of the fading process

respectively. The bounds are computed explicitly for stationary

fading number, high SNR, memory, multiple-antenna, SIMO.

-||- _|_ _|_ / __|__ 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 13:04:17 2006