The Inverse Gaussian Distribution in Wireless Channels: Second-Order Statistics and Channel Capacity

Author

Trigui, Imène ; Laourine, Amine ; Affes, Sofiène ; Stéphenne, Alex

Author_Institution

Wireless Commun. Group, Inst. Nat. de la Rech. Sci., Montréal, QC, Canada

Volume

60

Issue

11

fYear

2012

fDate

11/1/2012 12:00:00 AM

Firstpage

3167

Lastpage

3173

Abstract

In this paper, we introduce the Inverse Gaussian (IG) fading distribution to model the envelope and the power of the received signal in radio propagation fading channels and free-space optical (FSO) channels. The joint distribution of the IG process and its derivative and the marginal distribution of the derivative are developed. The obtained formulas are then used to derive the second-order statistics of the received signal envelope and the channel capacity under IG and Nakagami-IG (NIG) fading distributions. Numerical results sustaining our analysis are provided, and the impacts of various parameters on the system performance are investigated.

Keywords

Gaussian distribution; Nakagami channels; higher order statistics; optical links; wireless channels; Nakagami-IG fading distribution; channel capacity; free-space optical channels; inverse Gaussian distribution; inverse Gaussian fading distribution; marginal distribution; radio propagation fading channels; second-order statistics; signal envelope; wireless channels; Channel capacity; Fading; Joints; Probability density function; Shadow mapping; Signal to noise ratio; Wireless communication; Composite fading distribution; FSO channels; Nakagami-IG (NIG) distribution; average fade duration; channel capacity; inverse Gaussian (IG) distribution; level crossing rate;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2012.081512.100253

Filename

6279528