Generalised MGF of the ${\bi \kappa} -{\bi \mu} $κ−μ extreme distribution and its applications to performance analysis

• Published in: Electronics letters 2018-12, Vol.54 (25), p.1458-1460
• Main Authors: Gong, J, Lee, H, Park, M, Choi, J.W, Kang, J
• Format: Article
• Language: English
• Subjects: closed‐form expressions; energy detection; fading channels; generalised moment generating function; G‐MGF; outage probability; performance analysis; receiver operating characteristic curve; statistical distributions; telecommunication network reliability; Wireless communications; wireless communications systems; κ‐μ extreme distribution; κ‐μ extreme fading channels
• ISSN: 0013-5194; 1350-911X; 1350-911X
• DOI: 10.1049/el.2018.7020

The authors formulate the closed-form expressions of the generalised moment generating function (G-MGF) for the $\kappa -\mu $κ−μ extreme distribution, which enables one to calculate important metrics of wireless communications systems. The derived formula is utilised to evaluate the performance of communication systems under $\kappa -\mu $κ−μ extreme fading channels, such as energy detection in terms of area under the receiver operating characteristic curve and outage probability in interference limited scenarios.