The capacity of discrete-time memoryless Rayleigh-Fading channels

Citation
Ic. Abou-faycal et al., The capacity of discrete-time memoryless Rayleigh-Fading channels, IEEE INFO T, 47(4), 2001, pp. 1290-1301
Citations number
27
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
47
Issue
4
Year of publication
2001
Pages
1290 - 1301
Database
ISI
SICI code
0018-9448(200105)47:4<1290:TCODMR>2.0.ZU;2-O
Abstract
We consider transmission over a discrete-time Rayleigh fading channel, in w hich successive symbols face independent fading, and where neither the tran smitter nor the receiver has channel state information. Subject to an avera ge power constraint, we study the capacity-achieving distribution of this c hannel and prove it to be discrete with a finite number of mass points, one of them located at the origin. We numerically compute the capacity and the corresponding optimal distribution as a function of the signal-to-noise ra tio (SNR), The behavior of the channel at low SNR is studied and finally a comparison is drawn with the ideal additive white Gaussian noise channel.