This research establishes a clear relation between the autocorrelation (AC) and triple-correlation (TC) functions of a signal and its second- and third-order factorial moments (FM’s). Theoretical expressions of the variances corresponding to the AC and TC obtained from the measurement of FM’s is developed for low-light-level conditions. Experimental values corresponding to direct AC measurements were also compared with those obtained from the FM measurement. The conclusion is that the measurement of FM’s may be an alternative to AC and TC measurements.
© 1993 Optical Society of America
M. P. Cagigal, "Triple and autocorrelation functions from factorial moments measured," Appl. Opt. 32, 3059-3063 (1993)