High SNR Probabilities of Continuous Fluid Antenna Systems in Ricean Environments
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916898684272640 |
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| author | Inwood, Amy S. Smith, Peter J. Senanayake, Rajitha Matthaiou, Michail |
| author_facet | Inwood, Amy S. Smith, Peter J. Senanayake, Rajitha Matthaiou, Michail |
| contents | We consider a single-user (SU) continuous fluid antenna system (CFAS) employing matched filtering (MF) operating over a Ricean fading channel. Focusing on the upper tail of the received signal-to-noise ratio (SNR) distribution (the high SNR probability (HSP)), we derive accurate approximations for the HSP in 1, 2, and 3 dimensions using the expected Euler characteristic (EEC), presenting the first analytical results for a CFAS in a Ricean environment. In the process, we provide the first closed-form expression for the Euler characteristic density of a non-central chi-squared random field. We then examine the impact of the Ricean K-factor on the CFAS performance, emphasizing the critical role of channel variations in achieving a strong HSP. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10485 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | High SNR Probabilities of Continuous Fluid Antenna Systems in Ricean Environments Inwood, Amy S. Smith, Peter J. Senanayake, Rajitha Matthaiou, Michail Signal Processing We consider a single-user (SU) continuous fluid antenna system (CFAS) employing matched filtering (MF) operating over a Ricean fading channel. Focusing on the upper tail of the received signal-to-noise ratio (SNR) distribution (the high SNR probability (HSP)), we derive accurate approximations for the HSP in 1, 2, and 3 dimensions using the expected Euler characteristic (EEC), presenting the first analytical results for a CFAS in a Ricean environment. In the process, we provide the first closed-form expression for the Euler characteristic density of a non-central chi-squared random field. We then examine the impact of the Ricean K-factor on the CFAS performance, emphasizing the critical role of channel variations in achieving a strong HSP. |
| title | High SNR Probabilities of Continuous Fluid Antenna Systems in Ricean Environments |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2508.10485 |