Accurate and Practical Energy Detection over α-μ Fading Channels

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.

Three-Event Energy Detection with Adaptive Threshold for Spectrum Sensing in Cognitive Radio Systems

“…Figure 2 shows the values of the DEP P e as a function of the SNR γ for different values of the spectrum utilization ratio α, for the proposed 3EED algorithm with an adaptive threshold as well as for the adaptive CED algorithm in [22]. Based on the plots shown in Figure 2 we first note that the values of the DEP obtained through Monte Carlo simulations closely match the analytical values of the DEP implied by (6) for the proposed 3EED algorithm with an adaptive threshold or by the corresponding DEP expression in [22], for all SNR and α values. We also note that the proposed 3EED algorithm with an adaptive threshold outperforms the adaptive CED algorithm in cases of practical interest corresponding to spectrum utilization ratios above 0.2 and below 0.7, with maximum gain of the proposed algorithm in terms of the DEP of about 1 dB achieved for α around 0.5.…”

“…Among the methods used for spectrum sensing, energy detection (ED) [4][5][6][7][8] is the most commonly used one, due to its simplicity as well as its almost universal applicability. Alternative spectrum sensing approaches use eigenvalue-based algorithms [9], covariance-based detection methods [10,11], cyclostationary feature detection [12,13], or compressive sensing [14,15].…”

“…Thus, the DEP provides a trade-off between the false alarm and mis-detection performance, and allows optimization of the decision threshold for the 3EED algorithm by setting it to minimize the DEP (6), that is…”

Special Issue on Intelligent Systems in Sensor Networks and Internet of Things

“…The paper [2] derives a novel and exact closed-form expression, more accurate than the existing ones, for energy detection in terms of Meijer's G-function over α-µ generalized fading channels that can be used in various areas of wireless communications, especially in the wireless sensors and the cognitive radio networks ones.…”

Performance Analysis of Centralized Cooperative Schemes for Compressed Sensing

“…On the other hand, an energy detector (ED) simply monitors the received energy in a specific time–frequency resource, and therefore is more versatile and suitable for those users without knowledge of the PU signal properties. The popularity of the ED is widespread [ 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 ], so that the ED is often also used as a baseline for comparison purposes. Consequently, this paper focuses on SU sensors equipped with EDs.…”