Title :
Statistical modeling of speech signals based on generalized gamma distribution
Author :
Shin, Jong Won ; Chang, Joon-Hyuk ; Kim, Nam Soo
Author_Institution :
Sch. of Electr. Eng., Seoul Nat. Univ., South Korea
fDate :
3/1/2005 12:00:00 AM
Abstract :
In this letter, we propose a new statistical model, two-sided generalized gamma distribution (GΓD) for an efficient parametric characterization of speech spectra. GΓD forms a generalized class of parametric distributions, including the Gaussian, Laplacian, and Gamma probability density functions (pdfs) as special cases. We also propose a computationally inexpensive online maximum likelihood (ML) parameter estimation algorithm for GΓD. Likelihoods, coefficients of variation (CVs), and Kolmogorov-Smirnov (KS) tests show that GΓD can model the distribution of the real speech signal more accurately than the conventional Gaussian, Laplacian, Gamma, or generalized Gaussian distribution (GGD).
Keywords :
gamma distribution; maximum likelihood estimation; speech processing; GΓD; Kolmogorov-Smirnov tests; maximum likelihood parameter estimation algorithm; parametric distribution; speech signal; statistical modeling; two-sided generalized gamma distribution; Gaussian distribution; Laplace equations; Maximum likelihood estimation; Parameter estimation; Parametric statistics; Probability density function; Signal processing algorithms; Speech enhancement; Speech processing; Testing; Generalized gamma distribution; speech distribution;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2004.840869