On the K and KG fading channels

In this paper, the composite Rayleigh-Gamma and Nakagami-Gamma distributions are considered. Multipath short-term fading and long-term fading (shadowing) affect wireless channels. A composite fading model was proposed for the modeling of shadowed channels, which resulted in a closed form solution for the probability density function (pdf). These composite Rayleigh-Gamma and Nakagami-Gamma are well-known as the K-distribution and KG-distribution, and are applied to cases where both micro- and macro-diversity schemes are implemented to mitigate short-term fading and shadowing, respectively. Thus, the composite pdf model offers significant improvement over approaches, which use lognormal pdf for shadowing. The results demonstrate the simplicity and usefulness of the composite pdf in the performance analyses of shadowed fading channels.

[1]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[2]  A. M. D. Turkmani.  Performance evaluation of a composite microscopic plus macroscopic diversity system , 1991, INFOCOM 1991.

[3]  Giovanni E. Corazza,et al.  A statistical model for land mobile satellite channels and its application to nongeostationary orbit systems , 1994 .

[4]  Valentine A. Aalo,et al.  Performance of maximal-ratio diversity systems in a correlated Nakagami-fading environment , 1995, IEEE Trans. Commun..

[5]  S. Yue,et al.  A review of bivariate gamma distributions for hydrological application , 2001 .

[6]  EMAD K. AL-HUSSAINI,et al.  Composite Macroscopic and Microscopic Diversity of Sectorized Macrocellular and Microcellular Mobile Radio Systems Employing RAKE Receiver over Nakagami Fading Plus Lognormal Shadowing Channel , 2002, Wirel. Pers. Commun..

[7]  Mohamed-Slim Alouini,et al.  Dual diversity over correlated log-normal fading channels , 2002, IEEE Trans. Commun..

[8]  Dongfang Liu,et al.  Performance analysis of macroscopic diversity combining of MIMO signals in mobile communications , 2003, 2003 IEEE 58th Vehicular Technology Conference. VTC 2003-Fall (IEEE Cat. No.03CH37484).

[9]  P. Mohana Shankar,et al.  Error Rates in Generalized Shadowed Fading Channels , 2004, Wirel. Pers. Commun..

[10]  R C Robertson,et al.  Digital Communications Over Fading Channels , 2004 .

[11]  I. Kostic.  Analytical approach to performance analysis for channel subject to shadowing and fading , 2005 .

[12]  P. Shankar.  Outage probabilities in shadowed fading channels using a compound statistical model , 2005 .

[13]  George K. Karagiannidis,et al.  On the performance analysis of digital communications over generalized-K fading channels , 2006, IEEE Communications Letters.

[14]  P. Mohana Shankar.  Performance Analysis of Diversity Combining Algorithms in Shadowed Fading Channels , 2006, Wirel. Pers. Commun..

[15]  Nikos C. Sagias,et al.  Dual diversity over correlated Ricean fading channels , 2007, Journal of Communications and Networks.