Resolution Threshold Analysis of Coded-Aperture Imaging System Based on Statistical Theory

In this paper, a resolution analysis method for coded-aperture imaging (CAI) system based on statistical theory is proposed for the first time. The energy-to-noise ratio (ENR) is introduced into the resolution evaluation based on the latest theoretical analysis results on resolution of CAI system. The resolution analysis of two points closely in space is transformed into a statistical decision problem. The minimum error probability (MEP) criterion in Bayesian classification and correlation pattern of the spatial reference signal are utilized to fit the curve of error probability and the spatial resolution which finally turns out to be the right-tailed function of Gaussian distribution. Theoretical analyses and simulation experiments are implemented to demonstrate the validity of the proposed method.