The capacity of discrete-time memoryless Rayleigh-fading channels

Author

Abou-Faycal, Ibrahim C. ; Trott, Mitchell D. ; Shamai, Shlomo

Author_Institution

Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA

Volume

47

Issue

4

fYear

2001

fDate

5/1/2001 12:00:00 AM

Firstpage

1290

Lastpage

1301

Abstract

We consider transmission over a discrete-time Rayleigh fading channel, in which successive symbols face independent fading, and where neither the transmitter nor the receiver has channel state information. Subject to an average power constraint, we study the capacity-achieving distribution of this channel 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 ratio (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

Keywords

Rayleigh channels; channel capacity; discrete time systems; memoryless systems; time-varying channels; additive white Gaussian noise channel; average power constraint; capacity-achieving distribution; channel state information; discrete-time memoryless Rayleigh-fading channels; optimal distribution; signal-to-noise ratio; transmission; Additive white noise; Channel state information; Fading; Gaussian channels; Legged locomotion; Radio transmitters; Random variables; Rayleigh channels; Signal to noise ratio; Time-varying channels;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.923716

Filename

923716