ESTIMATION OF SHAPE PARAMETER FOR GENERALIZED GAUSSIAN DISTRIBUTIONS IN SUBBAND DECOMPOSITIONS OF VIDEO

A subband decomposition scheme for video signals, in which the original or difference frames are each decomposed into 16 equal-size frequency subbands, is considered. Westerink et al. [4] have shown that the distribution of the sample values in each subband can be modeled with a ''generalized Gaussian'' probability density function (pdf) where three parameters, mean, variance, and shape are required to uniquely determine the pdf. To estimate the shape parameter, a series of statistical goodness-of-fit tests such as Kolmogorov-Smirnov or chi-squared tests have been used in [4]. A simple alternative method to estimate the shape parameter for the generalized Gaussian pdf is proposed that significantly reduces the number of computations by eliminating the need for any statistical goodness-of-fit test.