
May 22, 2015 15:22 PSP Book - 9in x 6in 10-Yong-Ching-Lim-c10
326 Linear Microphone Array TDE via Generalized Gaussian Distribution
For the univariate case of the generalized Gaussian distributed
variable x
n
the entropy is
H
u
GG
(x
n
) =
1
β
+ln
2
1 +
1
β
σ
x
n
(1/β)
(3/β)
(10.22)
The theoretical solutions of (10.22), (10.21), derived through
the evaluation of Dirichlet integrals match exactly the theoretically
evaluated multi- and univariate entropies presented in (10.11),
(10.10), for β = 2, and at the same time provide the multi- and
univariate entropies over a wider family set of distributions that can
be represented through the GGD.
Based on the evaluated