multiple-input multiple-output (MIMO) fading channel with arbitrary

temporal and spatial memory is derived. The channel is assumed to be

non-coherent,

knowledge about the channel state, but they only know the probability

law of the fading process. The fading number is the second term in the

asymptotic expansion of channel capacity when the signal-to-noise

ratio (SNR) tends to infinity.

It is shown that the fading number can be achieved by an input that is

the product of two independent processes: a stationary and circularly

symmetric direction- (or unit-) vector process whose distribution

needs to be chosen such that it maximizes the fading number, and a

non-negative magnitude process that is independent and identically

distributed (IID) and that escapes to infinity.

Additionally, in the more general context of an arbitrary stationary

channel model satisfying some weak conditions on the channel law, it

is shown that the optimal input distribution is stationary apart from

some edge effects.

-||- _|_ _|_ / __|__ 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: Fri Apr 6 20:41:02 UTC+8 2007