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arXiv · 2508.21614

Energy Detection over Composite $\kappa-\mu$ Shadowed Fading Channels with Inverse Gaussian Distribution in Ultra mMTC Networks

He Huang·Zeping Sui·Zilong Liu·Wei Huang·Md. Noor-A-Rahim·Haishi Wang·Zhiheng Hu
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Abstract

This paper investigates the characteristics of energy detection (ED) over composite $\kappa$-$\mu$ shadowed fading channels in ultra machine-type communication (mMTC) networks. We have derived the closed-form expressions of the probability density function (PDF) of signal-to-noise ratio (SNR) based on the Inverse Gaussian (\emph{IG}) distribution. By adopting novel integration and mathematical transformation techniques, we derive a truncation-based closed-form expression for the average detection probability for the first time. It can be observed from our simulations that the number of propagation paths has a more pronounced effect on average detection probability compared to average SNR, which is in contrast to earlier studies that focus on device-to-device networks. It suggests that for 6G mMTC network design, we should consider enhancing transmitter-receiver placement and antenna alignment strategies, rather than relying solely on increasing the device-to-device average SNR.

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He Huang, Zeping Sui, Zilong Liu, Wei Huang, Md. Noor-A-Rahim, Haishi Wang, Zhiheng Hu. 2025-08-29. Energy Detection over Composite $\kappa-\mu$ Shadowed Fading Channels with Inverse Gaussian Distribution in Ultra mMTC Networks. https://arxiv.org/abs/2508.21614

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