Accurate and Practical Energy Detection over α-μ Fading Channels - PubMed Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2020 Jan 29;20(3):754.
doi: 10.3390/s20030754.

Accurate and Practical Energy Detection over α-μ Fading Channels

Affiliations

Accurate and Practical Energy Detection over α-μ Fading Channels

Kaitian Cao et al. Sensors (Basel). .

Abstract

In this study, a novel and exact closed-form expression for detection probability of energy detection (ED) in terms of Meijer's G-function over α-μ generalized fading channels was derived. It is more accurate and practical than the existing exact expressions and has wide application prospects in the performance evaluations in various areas of wireless communications, especially in the wireless sensor network (WSN) and the cognitive radio network (CRN). Furthermore, an exact and simple analytical solution for the sample size meeting the desired detection performance in terms of the probability mass function of a Poisson distribution was also solved. Simulations verified the detection performance and accuracy of our derived expressions with a small sample size compared to the existing exact expressions and approximations.

Keywords: Meijer’s G-function; cognitive radio network; energy detection; wireless sensor network; α-μ fading channels.

PubMed Disclaimer

Conflict of interest statement

The authors declare no conflict of interest.

Figures

Figure 1
Figure 1
CROC curves for γ¯=0 dB, α=2, μ=1.
Figure 2
Figure 2
Average detection probability vs. signal-to-noise ratio (SNR) for Pf=0.01, α=2, μ=2.
Figure 3
Figure 3
Sample size (N) vs. SNR for α=2, μ=2.

Similar articles

Cited by

References

    1. Rugini L., Banelli P., Leus G. Small sample size performance of the energy detector. IEEE Commun. Lett. 2013;17:1814–1817. doi: 10.1109/LCOMM.2013.080813.131399. - DOI
    1. Banjade V.R.S., Tellambura C., Jiang H. Approximations for Performance of Energy Detector and p-Norm Detector. IEEE Commun. Lett. 2015;19:1678–1681. doi: 10.1109/LCOMM.2015.2466105. - DOI
    1. Fathi Y., Tawfik M.H. Versatile performance expression for energy detector over α-μ generalised fading channels. Electron. Lett. 2012;48:1081–1082. doi: 10.1049/el.2012.1744. - DOI
    1. Darawsheh H.Y., Jamoos A. Performance Analysis of Energy Detector Over α−μ Fading Channels with Selection Combining. Wirel. Pers. Commun. 2014;77:1507–1517. doi: 10.1007/s11277-013-1595-9. - DOI
    1. Cao K., Gao X. Solutions to Generalized Integrals Involving the Generalized Marcum Q-Function With Application to Energy Detection. IEEE Commun. Lett. 2016;20:1780–1783. doi: 10.1109/LCOMM.2016.2580148. - DOI