Abstract

When image plane speckle intensity integrated over a finite aperture is submitted to a logarithmic transformation, the noise becomes additive and signal independent. The first- and second-order moments of the probability distribution are derived. It is found that the logarithm of speckle noise approaches a normal distribution much faster than speckle intensity. The properties of speckle noise are different from those of filmgrain noise; for example, neither Nutting’s law nor Selwyn’s law is satisfied by speckle.

© 1976 Optical Society of America

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