In this paper, a pattern recognition technique through atmospheric turbulence is discussed. We have shown that there exists no unique relationship between the target and its power spectrum. However, for some finite number of distinguishable targets, it may be possible to recognize the targets by means of the Wiener-Khinchin's theorem. The fundamental advantage of this pattern recognition technique is the elimation of the phase distortion due to the atmospheric turbulence. However, this phase elimination also results in a loss of phase information of the target. Nevertheless, if the atmospheric turbulence is strong, this pattern recognition technique by means of Wiener-Khinchin's theorem may be more advantageous than the direct imaging method, since the phase variation will not do much good for the image formation.
F. T. S. Yu,
"Pattern Recognition Through Atmospheric Turbulence By Means Of Wiener-Khinchin's Theorem," Optical Engineering 10(1), 100118 (1 December 1971). https://doi.org/10.1117/12.7971589