Asymmetric Windows and Their Application in Frequency Estimation
Classic windows have constant time delay and linear phase because of the symmetry and the time shift causality-imposed in the time domain. And thus, all such windows have the same spectral phase response. Removal of the symmetry constraint on a classic window can result in a variable phase response...
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| Vydané v: | Journal of algorithms & computational technology Ročník 9; číslo 4; s. 389 - 412 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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London, England
SAGE Publications
01.12.2015
SAGE Publishing |
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| ISSN: | 1748-3018, 1748-3026 |
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| Abstract | Classic windows have constant time delay and linear phase because of the symmetry and the time shift causality-imposed in the time domain. And thus, all such windows have the same spectral phase response. Removal of the symmetry constraint on a classic window can result in a variable phase response and in an alterable time delay. In essence the time delay becomes shorter will bring about a lot of benefits in speech coding. Some asymmetric windows with better magnitude response also can lead to a better recognition performance if the result is relatively insensitive to phase distortion. However, it is surprising that so little attention has been paid to the asymmetric windows in past literature; and never in past history has this issue been systematically or comprehensively studied. As a result, several methods to obtain the asymmetric windows are being presented in this paper. The asymmetric windows are displayed and compared with the classic windows, concerning both in time and frequency domains. Some new asymmetric windows with good behavior are introduced. The work in this paper makes it possible for researchers to select an asymmetric window to meet their requirements, in terms of bias due to time delay or bias due to spectral behavior. Finally, the application in a new aspect, of the asymmetric windows, is displayed. The simulation demonstrates that the improved estimation method, in which the symmetric windows are replaced by the asymmetric windows, shows a stronger capability of additive noise resistance than the traditional method. |
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| AbstractList | Classic windows have constant time delay and linear phase because of the symmetry and the time shift causality-imposed in the time domain. And thus, all such windows have the same spectral phase response. Removal of the symmetry constraint on a classic window can result in a variable phase response and in an alterable time delay. In essence the time delay becomes shorter will bring about a lot of benefits in speech coding. Some asymmetric windows with better magnitude response also can lead to a better recognition performance if the result is relatively insensitive to phase distortion. However, it is surprising that so little attention has been paid to the asymmetric windows in past literature; and never in past history has this issue been systematically or comprehensively studied. As a result, several methods to obtain the asymmetric windows are being presented in this paper. The asymmetric windows are displayed and compared with the classic windows, concerning both in time and frequency domains. Some new asymmetric windows with good behavior are introduced. The work in this paper makes it possible for researchers to select an asymmetric window to meet their requirements, in terms of bias due to time delay or bias due to spectral behavior. Finally, the application in a new aspect, of the asymmetric windows, is displayed. The simulation demonstrates that the improved estimation method, in which the symmetric windows are replaced by the asymmetric windows, shows a stronger capability of additive noise resistance than the traditional method. |
| Author | Luo, Jiufei Xie, Zhijiang Li, Xinyi |
| Author_xml | – sequence: 1 givenname: Jiufei surname: Luo fullname: Luo, Jiufei email: jiufluo@gmail.com organization: Department of Mechanical Engineering Chongqing University China – sequence: 2 givenname: Zhijiang surname: Xie fullname: Xie, Zhijiang organization: Department of Mechanical Engineering Chongqing University China – sequence: 3 givenname: Xinyi surname: Li fullname: Li, Xinyi organization: Department of Mechanical Engineering Chongqing University China |
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| Cites_doi | 10.1007/BF01447779 10.1109/TSP.2005.843719 10.1109/EURCON.2003.1248175 10.1086/312197 10.1016/j.specom.2007.01.012 10.1109/ISCAS.1989.100365 10.1155/S1110865704403114 10.1109/PROC.1978.10837 10.1080/00401706.1961.10489939 10.1109/TAP.1981.1142521 10.1121/1.429425 10.1016/j.ymssp.2014.08.023 10.1016/j.specom.2006.08.003 10.1175/1520-0493(1997)125<0655:TDCWAS>2.0.CO;2 10.1114/1.1509766 10.1016/j.ymssp.2005.04.003 10.1155/ASP.2005.1910 |
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| Keywords | Asymmetric window Time delay Spectral leakage Alterable phase |
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