On the Bivariate Nakagami-Lognormal Distribution and Its Correlation Properties
The bivariate Nakagami-lognormal distribution used to model the composite fast fading and shadowing has been examined exhaustively. In particular, we have derived the joint probability density function, the cross-moments, and the correlation coefficient in power terms. Also, two procedures to genera...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2014/328732 |
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| author | Juan Reig Lorenzo Rubio Vicent M. Rodrigo-Peñarrocha |
| author_facet | Juan Reig Lorenzo Rubio Vicent M. Rodrigo-Peñarrocha |
| author_sort | Juan Reig |
| collection | DOAJ |
| description | The bivariate Nakagami-lognormal distribution used to model the composite fast fading and shadowing has been examined exhaustively. In particular, we have derived the joint probability density function, the cross-moments, and the correlation coefficient in power terms. Also, two procedures to generate two correlated Nakagami-lognormal random variables are described. These procedures can be used to evaluate the robustness of the sample correlation coefficient distribution in both macro- and microdiversity scenarios. It is shown that the bias and the standard deviation of this sample correlation coefficient are substantially high for large shadowing standard deviations found in wireless communication measurements, even if the number of observations is considerable. |
| format | Article |
| id | doaj-art-27fa5eabd29249e7adc34a441de024fd |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-27fa5eabd29249e7adc34a441de024fd2025-02-03T06:00:16ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772014-01-01201410.1155/2014/328732328732On the Bivariate Nakagami-Lognormal Distribution and Its Correlation PropertiesJuan Reig0Lorenzo Rubio1Vicent M. Rodrigo-Peñarrocha2Grupo de Radiación Electromagnètica (GRE), Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainGrupo de Radiación Electromagnètica (GRE), Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainGrupo de Radiación Electromagnètica (GRE), Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainThe bivariate Nakagami-lognormal distribution used to model the composite fast fading and shadowing has been examined exhaustively. In particular, we have derived the joint probability density function, the cross-moments, and the correlation coefficient in power terms. Also, two procedures to generate two correlated Nakagami-lognormal random variables are described. These procedures can be used to evaluate the robustness of the sample correlation coefficient distribution in both macro- and microdiversity scenarios. It is shown that the bias and the standard deviation of this sample correlation coefficient are substantially high for large shadowing standard deviations found in wireless communication measurements, even if the number of observations is considerable.http://dx.doi.org/10.1155/2014/328732 |
| spellingShingle | Juan Reig Lorenzo Rubio Vicent M. Rodrigo-Peñarrocha On the Bivariate Nakagami-Lognormal Distribution and Its Correlation Properties International Journal of Antennas and Propagation |
| title | On the Bivariate Nakagami-Lognormal Distribution and Its Correlation Properties |
| title_full | On the Bivariate Nakagami-Lognormal Distribution and Its Correlation Properties |
| title_fullStr | On the Bivariate Nakagami-Lognormal Distribution and Its Correlation Properties |
| title_full_unstemmed | On the Bivariate Nakagami-Lognormal Distribution and Its Correlation Properties |
| title_short | On the Bivariate Nakagami-Lognormal Distribution and Its Correlation Properties |
| title_sort | on the bivariate nakagami lognormal distribution and its correlation properties |
| url | http://dx.doi.org/10.1155/2014/328732 |
| work_keys_str_mv | AT juanreig onthebivariatenakagamilognormaldistributionanditscorrelationproperties AT lorenzorubio onthebivariatenakagamilognormaldistributionanditscorrelationproperties AT vicentmrodrigopenarrocha onthebivariatenakagamilognormaldistributionanditscorrelationproperties |