Gvozdarev Aleksey S
Intelligent Information Radiophysics Systems Department, P. G. Demidov Yaroslavl State University, 150003 Yaroslavl, Russia.
Sensors (Basel). 2022 Feb 23;22(5):1742. doi: 10.3390/s22051742.
This paper studies the performance of the energy-based sensing procedure in the presence of multipath fading and shadowing effects in terms of its average probability of detection (APD), average receiver operating characteristic (AROC) and the area under the AROC curve (AUC). A new generalization for the class of the fading channel moment generating functions (MGFs) (i.e., factorized power type (FPT) MGF) was proposed and applied for the construction of the unified framework for the analytical treatment of the formulated problem. The contiguity of the proposed model with the existing classical ones (Rayleigh, Nakagami-m, Hoyt, η-μ, κ-μ shadowed and Mixture-Gamma) was demonstrated. Within the assumed MGF representation, the novel closed-form solutions and computationally efficient approximation for APD and AUC are derived. The obtained general expressions were then applied for derivation of the new results for the recent generalized fading channel models: Fluctuating Beckmann and Beaulieu-Xie shadowed. For each of the models, high-SNR asymptotic expressions were obtained. Lastly, numeric simulation was performed to verify the correctness of the derived results, to establish the dependencies of the sensing performance quality from the channel parameters and to identify the specific ranges of their asymptotic behavior.
本文研究了基于能量的传感过程在存在多径衰落和阴影效应情况下的性能，具体涉及平均检测概率（APD）、平均接收者操作特征（AROC）以及AROC曲线下的面积（AUC）。针对衰落信道矩生成函数（MGF）类提出了一种新的推广形式（即因式分解功率型（FPT）MGF），并将其应用于构建统一框架，以便对所提出的问题进行解析处理。证明了所提模型与现有经典模型（瑞利、 Nakagami - m、 Hoyt、η - μ、κ - μ阴影以及混合伽马）的连续性。在假定的MGF表示形式下，推导了APD和AUC的新颖闭式解以及计算高效的近似解。然后将所得到的通用表达式应用于推导近期广义衰落信道模型（波动贝克曼和Beaulieu - Xie阴影）的新结果。对于每个模型，都获得了高信噪比渐近表达式。最后，进行了数值模拟，以验证推导结果的正确性，确定传感性能质量与信道参数的依赖关系，并确定其渐近行为的特定范围。
