Analytical Characterization of the Operational Diversity Order in Fading Channels
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915018724868096 |
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| author | Fernández, Santiago Bailón-Martínez, J. Alfonso Galeote-Cazorla, Juan E. López-Martínez, F. Javier |
| author_facet | Fernández, Santiago Bailón-Martínez, J. Alfonso Galeote-Cazorla, Juan E. López-Martínez, F. Javier |
| contents | We introduce and characterize the operational diversity order (ODO) in fading channels, as a proxy to the classical notion of diversity order at any arbitrary operational signal-to-noise ratio (SNR). Thanks to this definition, relevant insights are brought up in a number of cases: (i) We quantify that in dominant line-of-sight scenarios an increased diversity order is attainable compared to that achieved asymptotically, even in the single-antenna case; (ii) this effect is attenuated, but still visible, in the presence of an additional dominant specular component; (iii) the decay slope in Rayleigh product channels increases very slowly, never fully achieving unitary slope for a finite SNR. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09336 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analytical Characterization of the Operational Diversity Order in Fading Channels Fernández, Santiago Bailón-Martínez, J. Alfonso Galeote-Cazorla, Juan E. López-Martínez, F. Javier Information Theory Signal Processing We introduce and characterize the operational diversity order (ODO) in fading channels, as a proxy to the classical notion of diversity order at any arbitrary operational signal-to-noise ratio (SNR). Thanks to this definition, relevant insights are brought up in a number of cases: (i) We quantify that in dominant line-of-sight scenarios an increased diversity order is attainable compared to that achieved asymptotically, even in the single-antenna case; (ii) this effect is attenuated, but still visible, in the presence of an additional dominant specular component; (iii) the decay slope in Rayleigh product channels increases very slowly, never fully achieving unitary slope for a finite SNR. |
| title | Analytical Characterization of the Operational Diversity Order in Fading Channels |
| topic | Information Theory Signal Processing |
| url | https://arxiv.org/abs/2405.09336 |