School of Electrical & Electronic Engineering, Shanghai Institute of Technology, Shanghai 201418, China.
Key Laboratory of Broadband Wireless Communication and Sensor Network Technology, Ministry of Education, Nanjing University of Posts and Telecommunications, Nanjing 210003, China.
Sensors (Basel). 2020 Jan 29;20(3):754. doi: 10.3390/s20030754.
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.
在这项研究中，针对α-μ广义衰落信道，推导出了能量检测（ED）检测概率的新型精确封闭形式表达式，该表达式采用 Meijer 的 G 函数表示。与现有精确表达式相比，它更准确、更实用，在无线通信的各个领域的性能评估中都具有广泛的应用前景，特别是在无线传感器网络（WSN）和认知无线电网络（CRN）中。此外，还针对满足泊松分布概率质量函数的期望检测性能的样本大小，给出了一个精确而简单的解析解。与现有精确表达式和近似值相比，仿真结果验证了我们的推导表达式在小样本量下的检测性能和准确性。
