Erlang (Gamma) Noise With PDF In Digital Image Processing (CSE)

Erlang (Gamma) Noise
 The PDR of Erlang noise is given by
(1)


Where the parameters are such that a>0, b is a positive integer and “!” indicates factorial. The mean and variance of this density are given by
   
                                                                ……(2)
and               
                                                                       ……(3)
fig. Gama noise
fig. shows a plot of this density. Although equation (1) often is referred to as the gamma density, strictly speaking this correct only when the denominator is the gamma function Г(b). When the denominator is as shown, the density is more approximately called the Erlang density.



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