Simulation Analysis of Cumulative Detection Performance

In this paper, we employed simulation analysis to evaluate detection performance, primarily focusing on the relationship curves between probability of detection (Pd), false alarm probability (Pfa), and signal-to-noise ratio (SNR). The simulation program utilizes Monte Carlo methods with multiple iterations to generate statistically significant results, incorporating threshold calculation algorithms and signal processing models. Through this systematic approach, we derived valuable conclusions that align with the instructor's requirements. Additionally, we conducted extensive experiments with parameter sweeps and SNR variations, followed by in-depth discussions of the results to better interpret our findings. The implementation includes key functions for probability calculation, curve generation, and performance metric evaluation. Overall, our research provides significant insights in this field and offers valuable guidance for future studies. We hope this information proves beneficial for your technical understanding.