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Boltzmann–Dirichlet Process Mixture: A Mathematical Model for Speech Recognition
Author(s) -
T. Rajesh Kumar,
D. Vijendra Babu,
P. Malarvezhi,
C. M. Velu,
D. Haritha,
C. Karthikeyan
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1964/4/042039
Subject(s) - mixture model , speech recognition , noise (video) , additive white gaussian noise , signal (programming language) , gaussian noise , computer science , white noise , mathematics , algorithm , artificial intelligence , statistics , image (mathematics) , programming language
This article deliberates a mathematical model for the estimation of speech signals probability density function. Speech recognition is analyzed using an integration of Boltzmann equations with Dirichlet Process Mixture sequences. Usually, environmental noise, white noise, echo noise interferes with the speech signal. So, the speech identification rate decreases abruptly. By estimating the noise sequences in the speech signal, the speech identification rate increases. Rather than using a conventional Gaussian Mixture Model (GMM) procedure to recognize a pure speech, an integration of mathematical equations of Boltzmann and Dirichlet Process Mixture is proposed in this article. An uttered speech signal is identified using mean, variance, and standard deviation generated by Boltzmann-DPM. For an added white, particle, shaver percentage of noises, the speech signal to noise ratio is improved and proved experimentally using the Nil filter, GMM filters, and Extended Kalman filter.

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