Optimizing resolution–statistics trade-off for FND/CFND-based direction reconstruction

Determine the optimal balance between spatial resolution (e.g., histogram bin width or detector segment size) and total event count n that minimizes angular error and ensures reliable convergence of the empirical Frobenius-norm-of-difference curve to the CFND-based theoretical fit in the proposed 2D direction-finding algorithm.

Background

Simulation results in the paper indicate that higher spatial resolution can slow convergence of the Frobenius norm data to the theoretical CFND fit as the number of events increases, suggesting a trade-off between resolution and event statistics.

The authors explicitly note that selecting the best combination of resolution and event rate for accurate and efficient direction reconstruction has not been determined and remains a topic for further investigation, with practical implications for detector design.