Relationship Diagram of Pd and Pfa in Wireless Sensor Network Distribution

This paper presents a MATLAB-generated relationship diagram illustrating the correlation between Pd (Probability of Detection) and Pfa (Probability of False Alarm) in wireless sensor network distributions. The deployment configuration of wireless sensor networks directly determines the final data fusion results. Through detailed analysis of the Pd-Pfa relationship, we can better comprehend the operational principles and performance characteristics of wireless sensor networks. The MATLAB implementation employs receiver operating characteristic (ROC) curve plotting functions and statistical hypothesis testing algorithms to model detection performance under various network topologies. Furthermore, studying the Pd-Pfa relationship enables improvements in wireless sensor network design and optimization strategies, thereby enhancing operational efficiency and reliability. The code incorporates threshold calibration methods and probability distribution simulations to analyze how sensor placement density and communication range affect detection accuracy. Therefore, understanding and mastering the Pd-Pfa relationship is crucial for both research and practical applications of wireless sensor networks.