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International Journal of Antennas and Propagation
Volume 2015, Article ID 873890, 13 pages
Research Article

On the Efficient Generation of -- and -- White Samples with Applications

1National Institute of Telecommunications (Inatel), P. O. Box 05, 37540-000 Santa Rita do Sapucaí, MG, Brazil
2Department of Communications, School of Electrical and Computation Engineering, University of Campinas (DECOM/FEEC/UNICAMP), 13083-852 Campinas, SP, Brazil

Received 8 May 2014; Revised 18 July 2014; Accepted 1 August 2014

Academic Editor: Jose F. Paris

Copyright © 2015 Rausley Adriano Amaral de Souza et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with a simple and highly efficient random sequence generator for uncorrelated and variates. The algorithm may yield an efficiency of almost 100%, and this high efficiency can be reached for all special cases such as ,  ,   , Nakagami-m, Nakagami-q, Weibull, Hoyt, Rayleigh, Rice, Exponential, and the One-Sided Gaussian. This generator is implemented via the rejection technique and allows for arbitrary fading parameters. The goodness-of-fit is measured using the Kolmogorov-Smirnov and Anderson-Darling tests. The maximum likelihood parameter estimation for the distribution is proposed and verified against true values of the parameters chosen in the generator. We also provide two important applications for the random sequence generator, the first one dealing with the performance assessment of a digital communication system over the and fading channels and the second one dealing with the performance assessment of the spectrum sensing with energy detection over special cases of these channels. Theoretical and simulation results are compared, validating again the accuracy of the generators.