A quantitative evaluation of generation methods for correlated Rayleigh random variates

A number of different algorithms are used for the generation of correlated Rayleigh random variates. However, evaluations of and comparisons between various variate generation methods using meaningful quantitative measures are believed to be lacking. Previously, new quantitative quality measures for random variate generation have been proposed that are, in particular, meaningful and useful for digital communication system simulation. This paper presents the application of these measures to four methods of correlated variate generation, comparing the algorithms in terms of the quality of the generated samples and the required computational effort. The four methods are the IDFT method, filtering of white Gaussian noise (WGN), filtering of WGN using a third-order Butterworth filter, and the Monte-Carlo superposition of sinusoids method.

[1]  Peter Adam Hoeher,et al.  A statistical discrete-time model for the WSSUS multipath channel , 1992 .

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

[3]  Norman C. Beaulieu,et al.  Quality measures for random variate generation , 1998, ICC '98. 1998 IEEE International Conference on Communications. Conference Record. Affiliated with SUPERCOMM'98 (Cat. No.98CH36220).

[4]  C. Loo,et al.  Computer models for fading channels with applications to digital transmission , 1991 .

[5]  J.I. Smith,et al.  A computer generated multipath fading simulation for mobile radio , 1975, IEEE Transactions on Vehicular Technology.

[6]  Matthias Patzold,et al.  A deterministic digital simulation model for Suzuki processes with application to a shadowed Rayleigh land mobile radio channel , 1996 .

[7]  Norman C. Beaulieu,et al.  On the performance of digital detectors with dependent samples , 1988, IEEE Trans. Commun..

[8]  N. C. Beaulieu,et al.  On the generation of correlated Rayleigh random variates by inverse discrete Fourier transform , 1996, Proceedings of ICUPC - 5th International Conference on Universal Personal Communications.

[9]  A. Duel-Hallen,et al.  On the performance of coherent and noncoherent multiuser detectors for mobile radio CDMA channels , 1996, Proceedings of ICUPC - 5th International Conference on Universal Personal Communications.

[10]  B. Wu,et al.  Maximization of the channel utilization in wireless heterogeneous multi-access networks , 1996, Proceedings of ICUPC - 5th International Conference on Universal Personal Communications.

[11]  Pedro M. Crespo,et al.  Computer simulation of radio channels using a harmonic decomposition technique , 1995 .

[12]  Peter J. McLane.  Two-stage Doppler-phasor-corrected TCM/DMPSK for shadowed mobile satellite channels , 1993, IEEE Trans. Commun..

[13]  D. Verdin,et al.  Generating a fading process for the simulation of land-mobile radio communications , 1993 .

[14]  Stefan A. Fechtel.  A Novel Approach to Modeling and Efficient Simulation of Frequency-Selective Fading Radio Channels , 1993, IEEE J. Sel. Areas Commun..

[15]  Gregory E. Bottomley,et al.  Jakes fading model revisited , 1993 .