Method for the Maximization of the Likelihood Function of Speech Autoregressive Parameters Based on Line Spectrum Pairs
The paper considers the estimation of the parameters of autoregressive model at additive white noise background. The principle of maximum likelihood is used for this purpose. The main goal is to find the maximum of likelihood function depending on parameters of autoregressive model. Representation...
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Кам'янець-Подільський національний університет імені Івана Огієнка
2018
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| Онлайн доступ: | http://mcm-math.kpnu.edu.ua/article/view/159392 |
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| Назва журналу: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
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mcm-mathkpnueduua-article-1593922019-03-13T10:33:12Z Method for the Maximization of the Likelihood Function of Speech Autoregressive Parameters Based on Line Spectrum Pairs Semenov, Vasyl The paper considers the estimation of the parameters of autoregressive model at additive white noise background. The principle of maximum likelihood is used for this purpose. The main goal is to find the maximum of likelihood function depending on parameters of autoregressive model. Representation of likelihood function through line spectrum pairs and other alternative parameters is presented. This provided possibility of likelihood function maximization by KNITRO algorithm. The presence of multiple local minima of the considered likelihood function is shown. Experimental results including the comparison with widely used expectation-maximization (EM) method are presented for the real speech signals. Кам'янець-Подільський національний університет імені Івана Огієнка 2018-11-23 Article Article Рецензована Стаття application/pdf http://mcm-math.kpnu.edu.ua/article/view/159392 10.32626/2308-5878.2018-18.135-145 Mathematical and computer modelling. Series: Physical and mathematical sciences; 2018: Mathematical and computer modelling. Series: Physical and mathematical sciences. Issue 18; 135-145 Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки; 2018: Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки. Випуск 18; 135-145 2308-5878 10.32626/2308-5878.2018-18 en http://mcm-math.kpnu.edu.ua/article/view/159392/158662 Авторське право (c) 2021 Vasyl Semenov |
| institution |
Mathematical and computer modelling. Series: Physical and mathematical sciences |
| collection |
OJS |
| language |
English |
| format |
Article |
| author |
Semenov, Vasyl |
| spellingShingle |
Semenov, Vasyl Method for the Maximization of the Likelihood Function of Speech Autoregressive Parameters Based on Line Spectrum Pairs |
| author_facet |
Semenov, Vasyl |
| author_sort |
Semenov, Vasyl |
| title |
Method for the Maximization of the Likelihood Function of Speech Autoregressive Parameters Based on Line Spectrum Pairs |
| title_short |
Method for the Maximization of the Likelihood Function of Speech Autoregressive Parameters Based on Line Spectrum Pairs |
| title_full |
Method for the Maximization of the Likelihood Function of Speech Autoregressive Parameters Based on Line Spectrum Pairs |
| title_fullStr |
Method for the Maximization of the Likelihood Function of Speech Autoregressive Parameters Based on Line Spectrum Pairs |
| title_full_unstemmed |
Method for the Maximization of the Likelihood Function of Speech Autoregressive Parameters Based on Line Spectrum Pairs |
| title_sort |
method for the maximization of the likelihood function of speech autoregressive parameters based on line spectrum pairs |
| description |
The paper considers the estimation of the parameters of autoregressive model at additive white noise background. The principle of maximum likelihood is used for this purpose. The main goal is to find the maximum of likelihood function depending on parameters of autoregressive model. Representation of likelihood function through line spectrum pairs and other alternative parameters is presented. This provided possibility of likelihood function maximization by KNITRO algorithm. The presence of multiple local minima of the considered likelihood function is shown. Experimental results including the comparison with widely used expectation-maximization (EM) method are presented for the real speech signals. |
| publisher |
Кам'янець-Подільський національний університет імені Івана Огієнка |
| publishDate |
2018 |
| url |
http://mcm-math.kpnu.edu.ua/article/view/159392 |
| work_keys_str_mv |
AT semenovvasyl methodforthemaximizationofthelikelihoodfunctionofspeechautoregressiveparametersbasedonlinespectrumpairs |
| first_indexed |
2024-04-21T19:24:28Z |
| last_indexed |
2024-04-21T19:24:28Z |
| _version_ |
1796973494690381824 |