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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2012
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/1206.3965 |
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| _version_ | 1866914994791120896 |
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| author | Lopez-Martinez, F. J. Morales-Jimenez, D. Martos-Naya, E. Paris, J. F. |
| author_facet | Lopez-Martinez, F. J. Morales-Jimenez, D. Martos-Naya, E. Paris, J. F. |
| contents | In this paper, we derive exact closed-form expressions for the bivariate Nakagami-$m$ cumulative distribution function (CDF) with positive integer fading severity index $m$ in terms of a class of hypergeometric functions. Particularly, we show that the bivariate Nakagami-$m$ CDF can be expressed as a finite sum of elementary functions and bivariate confluent hypergeometric $Φ_3$ functions. Direct applications which arise from the proposed closed-form expression are the outage probability (OP) analysis of a dual-branch selection combiner in correlated Nakagami-$m$ fading, or the calculation of the level crossing rate (LCR) and average fade duration (AFD) of a sampled Nakagami-$m$ fading envelope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1206_3965 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | On the Bivariate Nakagami-$m$ Cumulative Distribution Function: Closed-form Expression and Applications Lopez-Martinez, F. J. Morales-Jimenez, D. Martos-Naya, E. Paris, J. F. Information Theory In this paper, we derive exact closed-form expressions for the bivariate Nakagami-$m$ cumulative distribution function (CDF) with positive integer fading severity index $m$ in terms of a class of hypergeometric functions. Particularly, we show that the bivariate Nakagami-$m$ CDF can be expressed as a finite sum of elementary functions and bivariate confluent hypergeometric $Φ_3$ functions. Direct applications which arise from the proposed closed-form expression are the outage probability (OP) analysis of a dual-branch selection combiner in correlated Nakagami-$m$ fading, or the calculation of the level crossing rate (LCR) and average fade duration (AFD) of a sampled Nakagami-$m$ fading envelope. |
| title | On the Bivariate Nakagami-$m$ Cumulative Distribution Function: Closed-form Expression and Applications |
| topic | Information Theory |
| url | https://arxiv.org/abs/1206.3965 |