The \alpha-Lomax Distribution: A Compound Channel Model
<|reference_start|>The \alpha-Lomax Distribution: A Compound Channel Model: In this paper, we propose the {\alpha}-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 {\alpha}-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.<|reference_end|>
@article{badarneh2024the,
    title={The {\alpha}-Lomax Distribution: A Compound Channel Model},
    author={Osamah S. Badarneh and Daniel Benevides da Costa},
    journal={arXiv preprint arXiv:2406.03918},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.03918},
    primaryClass={cs.IT eess.SP math.IT}
}