An efficient procedure for Nakagami-m fading simulation

An efficient method for generating correlated Nakagami-m fading envelope samples is presented. The new method is compared to other methods used to generate Nakagami-m random variates. An accurate approximation to the inverse Nakagami-m cumulative distribution function, valid for all values of m, is derived. Uncertainties regarding the phase distribution and the autocorrelation of the Nakagami-m fading process are discussed. The fading envelope autocorrelation is determined by simulation and asymptotic analysis.

[1]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[2]  M. Gans.  A power-spectral theory of propagation in the mobile-radio environment , 1972 .

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

[4]  Cecil Hastings,et al.  Approximations for digital computers , 1955 .

[5]  Q. T. Zhang.  Maximal-ratio combining over Nakagami fading channels with an arbitrary branch covariance matrix , 1999 .

[6]  Xiaodai Dong,et al.  Error probabilities of two-dimensional M-ary signaling in fading , 1999, IEEE Trans. Commun..

[7]  J. D. Parsons,et al.  The Mobile Radio Propagation Channel , 1991 .

[8]  Tung-Sang Ng,et al.  A simulation model for Nakagami-m fading channels, m<1 , 2000, IEEE Trans. Commun..

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

[10]  Vijay K. Bhargava,et al.  Exact evaluation of maximal-ratio and equal-gain diversity receivers for M-ary QAM on Nakagami fading channels , 1999, IEEE Trans. Commun..

[11]  Mohamed-Slim Alouini,et al.  A unified performance analysis of digital communication with dual selective combining diversity over correlated Rayleigh and Nakagami-m fading channels , 1999, IEEE Trans. Commun..

[12]  Xiaodai Dong,et al.  Signaling constellations for fading channels , 1999, IEEE Trans. Commun..

[13]  Gordon L. Stuber,et al.  Principles of Mobile Communication , 1996 .

[14]  Mohamed-Slim Alouini,et al.  Area spectral efficiency of cellular mobile radio systems , 1999 .

[15]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

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

[17]  Norman C. Beaulieu,et al.  The generation of correlated Rayleigh random variates by inverse discrete Fourier transform , 2000, IEEE Trans. Commun..

[18]  M. Yacoub,et al.  On higher order statistics of the Nakagami-m distribution , 1999 .

[19]  John G. Proakis,et al.  Digital Communications , 1983 .

[20]  U. Dersch,et al.  Simulations of the time and frequency selective outdoor mobile radio channel , 1993 .

[21]  W. C. Jakes,et al.  Microwave Mobile Communications , 1974 .

[22]  Mohamed-Slim Alouini,et al.  Approach for Calculating Error Rates of Linearly Modulated Signals over Generalized Fading Channels , 1998 .