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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.21614 |
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| _version_ | 1866915470321385472 |
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| author | Huang, He Sui, Zeping Liu, Zilong Huang, Wei Noor-A-Rahim, Md. Wang, Haishi Hu, Zhiheng |
| author_facet | Huang, He Sui, Zeping Liu, Zilong Huang, Wei Noor-A-Rahim, Md. Wang, Haishi Hu, Zhiheng |
| contents | This paper investigates the characteristics of energy detection (ED) over composite $κ$-$μ$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21614 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Energy Detection over Composite $κ-μ$ Shadowed Fading Channels with Inverse Gaussian Distribution in Ultra mMTC Networks Huang, He Sui, Zeping Liu, Zilong Huang, Wei Noor-A-Rahim, Md. Wang, Haishi Hu, Zhiheng Signal Processing This paper investigates the characteristics of energy detection (ED) over composite $κ$-$μ$ 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. |
| title | Energy Detection over Composite $κ-μ$ Shadowed Fading Channels with Inverse Gaussian Distribution in Ultra mMTC Networks |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2508.21614 |