The α-Lomax Distribution: A Compound Channel Model
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914827395399680 |
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| author | Badarneh, Osamah S. da Costa, Daniel Benevides |
| author_facet | Badarneh, Osamah S. da Costa, Daniel Benevides |
| contents | In this paper, we propose the α-Lomax distribution as a new compound fading channel model. This new distribution generalizes the recently introduced Lomax fading channel model. It is worth noting that the Lomax distribution is a decreasing function, while the α-Lomax is a unimodal function, offering greater flexibility in modeling wireless fading channels. In particular, we derive closed-form expressions for the probability density function and cumulative distribution function for the instantaneous signal-to-noise ratio (SNR). Additionally, we provide closed-form expressions for several fundamental performance metrics, including outage probability, average bit error rate, and channel capacity. Furthermore, we derive closed-form expression for the average block-length error rate in short-packet communications. Moreover, we fit the PDF of the proposed channel model to empirical data obtained from a device-to-device communication system. We also offer simple and accurate approximations for these expressions in the high SNR regime. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_03918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The α-Lomax Distribution: A Compound Channel Model Badarneh, Osamah S. da Costa, Daniel Benevides Information Theory Signal Processing In this paper, we propose the α-Lomax distribution as a new compound fading channel model. This new distribution generalizes the recently introduced Lomax fading channel model. It is worth noting that the Lomax distribution is a decreasing function, while the α-Lomax is a unimodal function, offering greater flexibility in modeling wireless fading channels. In particular, we derive closed-form expressions for the probability density function and cumulative distribution function for the instantaneous signal-to-noise ratio (SNR). Additionally, we provide closed-form expressions for several fundamental performance metrics, including outage probability, average bit error rate, and channel capacity. Furthermore, we derive closed-form expression for the average block-length error rate in short-packet communications. Moreover, we fit the PDF of the proposed channel model to empirical data obtained from a device-to-device communication system. We also offer simple and accurate approximations for these expressions in the high SNR regime. |
| title | The α-Lomax Distribution: A Compound Channel Model |
| topic | Information Theory Signal Processing |
| url | https://arxiv.org/abs/2406.03918 |