Barycenter Theorem in Phase Characteristics of Symmetric and Asymmetric Windows
Asymmetric windows are of increasing interest to researchers because of the nonlinear and adjustable phase response, as well as alterable time delay. Short-time phase distortion can provide an essential improvement in speech coding, and also has better performance in speech recognition. The merits o...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-08-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/10/8/329 |
| _version_ | 1817992304119513088 |
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| author | Jiufei Luo Haitao Xu Kai Zheng Xinyi Li Song Feng |
| author_facet | Jiufei Luo Haitao Xu Kai Zheng Xinyi Li Song Feng |
| author_sort | Jiufei Luo |
| collection | DOAJ |
| description | Asymmetric windows are of increasing interest to researchers because of the nonlinear and adjustable phase response, as well as alterable time delay. Short-time phase distortion can provide an essential improvement in speech coding, and also has better performance in speech recognition. The merits of asymmetric windows in the aspect of spectral behaviors have an important function in frequency component detection and parameter estimation. In this paper, the phase response of windows were further studied, and the phase characteristics of symmetric and asymmetric windows are described. The relationship between the barycenter of windows in the time domain, and the phase characteristic at the center of the main lobe in the frequency domain, was established. In light of the relationship, an improved version of the asymmetric window- based frequency estimation algorithm was proposed. The improved algorithm has advantages of straightforward implementation and computational efficiency. The numeric simulation results also indicate that the improved approach is more robust than the traditional method against additive random noise. |
| first_indexed | 2024-04-14T01:24:35Z |
| format | Article |
| id | doaj.art-93334abe98f342b3a8584bad5f21e695 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T01:24:35Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-93334abe98f342b3a8584bad5f21e6952022-12-22T02:20:29ZengMDPI AGSymmetry2073-89942018-08-0110832910.3390/sym10080329sym10080329Barycenter Theorem in Phase Characteristics of Symmetric and Asymmetric WindowsJiufei Luo0Haitao Xu1Kai Zheng2Xinyi Li3Song Feng4Department of Mechanical Engineering, School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaDepartment of Mechanical Engineering, School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaDepartment of Mechanical Engineering, School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaCollege of Mechanical Engineering, Chongqing University, Chongqing 400044, ChinaDepartment of Mechanical Engineering, School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaAsymmetric windows are of increasing interest to researchers because of the nonlinear and adjustable phase response, as well as alterable time delay. Short-time phase distortion can provide an essential improvement in speech coding, and also has better performance in speech recognition. The merits of asymmetric windows in the aspect of spectral behaviors have an important function in frequency component detection and parameter estimation. In this paper, the phase response of windows were further studied, and the phase characteristics of symmetric and asymmetric windows are described. The relationship between the barycenter of windows in the time domain, and the phase characteristic at the center of the main lobe in the frequency domain, was established. In light of the relationship, an improved version of the asymmetric window- based frequency estimation algorithm was proposed. The improved algorithm has advantages of straightforward implementation and computational efficiency. The numeric simulation results also indicate that the improved approach is more robust than the traditional method against additive random noise.http://www.mdpi.com/2073-8994/10/8/329asymmetric windownonlinear phasetime delaybarycenter theorem |
| spellingShingle | Jiufei Luo Haitao Xu Kai Zheng Xinyi Li Song Feng Barycenter Theorem in Phase Characteristics of Symmetric and Asymmetric Windows Symmetry asymmetric window nonlinear phase time delay barycenter theorem |
| title | Barycenter Theorem in Phase Characteristics of Symmetric and Asymmetric Windows |
| title_full | Barycenter Theorem in Phase Characteristics of Symmetric and Asymmetric Windows |
| title_fullStr | Barycenter Theorem in Phase Characteristics of Symmetric and Asymmetric Windows |
| title_full_unstemmed | Barycenter Theorem in Phase Characteristics of Symmetric and Asymmetric Windows |
| title_short | Barycenter Theorem in Phase Characteristics of Symmetric and Asymmetric Windows |
| title_sort | barycenter theorem in phase characteristics of symmetric and asymmetric windows |
| topic | asymmetric window nonlinear phase time delay barycenter theorem |
| url | http://www.mdpi.com/2073-8994/10/8/329 |
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