An analysis of blooming picture by using partial auto-correlation

Abstract

In this paper, we propose a method to analyze blooming picture by using partial auto-correlation. The partial auto-correlation is defined in statistics, and calculated with forward linear prediction and backward linear prediction. And that is correlation of prediction residual, in place of direct correlation between time series.In blooming picture, the original image doesn't converge on focus, and divergence beam overlaps each other. This situation shows optical convolution, and expresses that aberration is generated by optical filter. Therefore we estimate the impulse response of the optical fillter by using the partial auto-correlation, and analyze a blooming picture.