The α-η-μ and α-κ-μ Fading Distributions

In this paper two new fading distributions, the α-η-μdistribution and α-κ-μ distribution, are presented. The α-η-μdistribution includes the α-μ, Nakagami-m, Nakagami-g, Weibull, Hoyt, Rayleigh, Exponential, and the one-sided Gaussian distributions as special cases. The α-κ-μ distribution includes the α-μ, Nakagami-m, Weibull, Rice, Rayleigh, exponential, and the one-sided Gaussian distributions as special cases. Furthermore, it proposes estimators for the involved parameters and uses field measurements to validate the distributions.

[1]  W. R. Braun,et al.  A physical mobile radio channel model , 1991 .

[2]  Michel Daoud Yacoub,et al.  The α-μ distribution: a general fading distribution , 2002, PIMRC.

[3]  Ayman F. Abouraddy,et al.  Statistical modeling of the indoor radio channel at 10 GHz through propagation measurements .I. Narrow-band measurements and modeling , 2000, IEEE Trans. Veh. Technol..

[4]  M. Patzold,et al.  Level-crossing rate and average duration of fades of deterministic simulation models for Nakagami-Hoyt fading channels , 2002, The 5th International Symposium on Wireless Personal Multimedia Communications.

[5]  Seymour Stein,et al.  Fading Channel Issues in System Engineering , 1987, IEEE J. Sel. Areas Commun..

[6]  M.D. Yacoub,et al.  The κ-μ distribution and the η-μ distribution , 2007, IEEE Antennas and Propagation Magazine.

[7]  Christos G. Christodoulou,et al.  Use of Weibull distribution for describing outdoor multipath fading , 2002, IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313).

[8]  M. D. Yacoub.  The /spl eta/-/spl mu/ distribution: a general fading distribution , 2000, Vehicular Technology Conference Fall 2000. IEEE VTS Fall VTC2000. 52nd Vehicular Technology Conference (Cat. No.00CH37152).

[9]  M. Nakagami.  The m-Distribution—A General Formula of Intensity Distribution of Rapid Fading , 1960 .