Spatial Secrecy Outage Probability Design Under Nakagami-m Wiretap Channel in the Industrial Internet of Things

The rapid evolution of the Industrial Internet of Things (IIoT) has created significant opportunities for industrial transformation, while simultaneously presenting substantial challenges to network security. Among these challenges, physical layer security emerges as a critical factor in ensuring the integrity and reliability of message transmission across interconnected devices and sensors within complex industrial environments. In our previous work, we proposed a mechanism for assessing the Spatial Secrecy Outage Probability (SSOP) in a Rayleigh Channel with a single eavesdropper, achieving promising simulation results. This paper focuses on the Nakagami-m Wiretap Channel and multiple eavesdroppers assuming that the location of legitimate devices is known, while the eavesdropper devices have a spatially homogeneous Poisson point process distribution of locations, forming the SSOP models related to the device locations from the perspective of insecure regions (ISRs) and secure regions (SRs), and the closed-form expression for its upper bound is derived. Subsequently, under the constraints imposed by SSOP conditions, we establish an optimization model aimed at maximizing system secrecy throughput. Finally,we analyze ISRs and SRs based on geographical location information through the lens of Secrecy Outage Probability (SOP), evaluating the security performance of our system. Through advanced modeling and simulation in MATLAB, we validated the accuracy of the proposed definition and derived the upper bound for the SSOP under Nakagami-m Channel. The experimental results further demonstrate the deep relationship between Secrecy Rate and Throughput. Additionally, it was observed that as the secrecy rate increases, the secrecy outage probability also rises, necessitating careful consideration of the trade-off. These insights are crucial for understanding and enhancing the security performance of IIoT communication systems.