Energy detection based spectrum sensing for gamma shadowed α–η–μ and α–κ–μ fading channels

Abstract In 5G communication, spectrum sensing is a viable technology to use the available spectrum efficiently. Energy detection based spectrum sensing is known to be very simple as far as the implementation of hardware circuitry is concerned. The performance of Energy Detector (ED) over α–η–μ/gamma and α–κ–μ/gamma composite fading channels is obtained using numerical approximation. Unified analytic expressions for the average probability of detection and average area under the receiver operating characteristic curves (AUC) are derived for both the channels using Gaussian-Laguerre method. The produced results are very generic in the sense that the performance already derived for generalized distributions such as α–η–μ, α– κ–μ, η–μ/gamma, α–μ/gamma, κ–μ/gamma and their inclusive ones can be easily evaluated using the these results. The impact of the system parameters on the performance of ED is studied in terms of complimentary receiver operating characteristics (CROC) and AUC.

[1]  Hai Jiang,et al.  Analysis of area under the ROC curve of energy detection , 2010, IEEE Transactions on Wireless Communications.

[3]  Hai Jiang,et al.  MGF Based Analysis of Area under the ROC Curve in Energy Detection , 2011, IEEE Communications Letters.

[4]  Valentine A. Aalo,et al.  Energy detection of unknown signals in Gamma-shadowed Rician fading environments with diversity reception , 2015, IET Commun..

[5]  Lingjiang Kong,et al.  Two useful integrals involving generalised Marcum Q-function , 2012 .

[6]  Amer M. Magableh,et al.  Capacity analysis of α - η - μ channels over different adaptive transmission protocols , 2017, IET Commun..

[7]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[8]  Osamah S. Badarneh,et al.  Performance Analysis of Digital Communication Systems Over $\alpha{-}\eta{-}\mu$ Fading Channels , 2016, IEEE Transactions on Vehicular Technology.

[9]  H. Urkowitz.  Energy detection of unknown deterministic signals , 1967 .

[10]  Osamah S. Badarneh.  Error Rate Analysis of $M$-ary Phase Shift Keying in $\alpha{-}\eta{-} \mu$ Fading Channels Subject to Additive Laplacian Noise , 2015, IEEE Communications Letters.

[11]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[12]  Xiaodong Wang,et al.  Detection of Unknown Signals Under Complex Elliptically Symmetric Distributions , 2017, IEEE Transactions on Communications.

[13]  Eyidayo Adebola,et al.  Unified analysis of energy detectors with diversity reception in generalised fading channels , 2014, IET Commun..

[14]  E. M. Gelbard,et al.  Gaussian quadratures for the integrals ₀^{∞}(-²)() and ₀^{}(-²)() , 1969 .

[15]  Surbhi Sharma,et al.  Performance analysis of spectrum sensing techniques over TWDP fading channels for CR based IoTs , 2017 .

[16]  Vijay K. Bhargava,et al.  Cognitive Wireless Communication Networks , 2007 .

[17]  Hamed S. Al-Raweshidy,et al.  Performance analysis of energy detector over η − μ fading channel: PDF-based approach , 2015 .

[18]  Chenglin Zhao,et al.  Cooperative Spectrum Sensing over Generalized Fading Channels Based on Energy Detection , 2017, ArXiv.

[19]  Rausley A. A. de Souza,et al.  On the Efficient Generation of -- and -- White Samples with Applications , 2015 .

[20]  Sheetal Kalyani,et al.  Performance Analysis of Cooperative Spectrum Sensing Over $\kappa{-}\mu$ Shadowed Fading , 2015, IEEE Wireless Communications Letters.

[21]  George K. Karagiannidis,et al.  Entropy and Channel Capacity under Optimum Power and Rate Adaptation over Generalized Fading Conditions , 2015, IEEE Signal Processing Letters.

[22]  Juan Manuel Romero-Jerez,et al.  Performance of Selection Combining Diversity in $\eta{-}\mu$ Fading Channels With Integer Values of $\mu$ , 2015, IEEE Transactions on Vehicular Technology.

[23]  Sandeep Kumar,et al.  Performance of ED Based Spectrum Sensing Over α–η–μ Fading Channel , 2018, Wirel. Pers. Commun..

[24]  Y. Fathi,et al.  Versatile performance expression for energy detector over α-μ generalised fading channels , 2012 .

[25]  Mohamed-Slim Alouini,et al.  On the Energy Detection of Unknown Signals Over Fading Channels , 2007, IEEE Transactions on Communications.

[26]  Hamed S. Al-Raweshidy,et al.  Unified Modeling of Composite $\kappa -\mu$ /Gamma, $\eta -\mu$/Gamma, and $\alpha -\mu$/Gamma Fading Channels Using a Mixture Gamma Distribution With Applications to Energy Detection , 2017, IEEE Antennas and Wireless Propagation Letters.