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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| Accesso online: | https://arxiv.org/abs/1609.00317 |
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| _version_ | 1866909369236455424 |
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| author | Lopez-Martinez, F. Javier Paris, Jose F. Romero-Jerez, Juan M. |
| author_facet | Lopez-Martinez, F. Javier Paris, Jose F. Romero-Jerez, Juan M. |
| contents | We show that the popular and general κ-μ shad- owed fading model with integer fading parameters μ and m can be represented as a mixture of squared Nakagami (or Gamma) distributions. Thus, its PDF and CDF can be expressed in closed-form in terms of a finite number of elementary functions (powers and exponentials). The main implications arising from such connection are then discussed, which can be summarized as: (1) the performance evaluation of communication systems operating in κ-μ shadowed fading becomes as simple as if a Nakagami fading channel was assumed; (2) the κ-μ shadowed distribution can be used to approximate the κ-μ distribution us- ing a closed-form representation in terms of elementary functions, by choosing a sufficiently large value of m; and (3) restricting the parameters μ and m to take integer values has limited impact in practice when fitting the κ-μ shadowed fading model to field measurements. As an application example, the average channel capacity of communication systems operating under κ-μ shadowed fading is obtained in closed-form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1609_00317 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | The κ-μ Shadowed Fading Model with Integer Fading Parameters Lopez-Martinez, F. Javier Paris, Jose F. Romero-Jerez, Juan M. Information Theory We show that the popular and general κ-μ shad- owed fading model with integer fading parameters μ and m can be represented as a mixture of squared Nakagami (or Gamma) distributions. Thus, its PDF and CDF can be expressed in closed-form in terms of a finite number of elementary functions (powers and exponentials). The main implications arising from such connection are then discussed, which can be summarized as: (1) the performance evaluation of communication systems operating in κ-μ shadowed fading becomes as simple as if a Nakagami fading channel was assumed; (2) the κ-μ shadowed distribution can be used to approximate the κ-μ distribution us- ing a closed-form representation in terms of elementary functions, by choosing a sufficiently large value of m; and (3) restricting the parameters μ and m to take integer values has limited impact in practice when fitting the κ-μ shadowed fading model to field measurements. As an application example, the average channel capacity of communication systems operating under κ-μ shadowed fading is obtained in closed-form. |
| title | The κ-μ Shadowed Fading Model with Integer Fading Parameters |
| topic | Information Theory |
| url | https://arxiv.org/abs/1609.00317 |