Barycenter Theorem in Phase Characteristics of Symmetric and Asymmetric Windows

Jiufei Luo 1 ID , Haitao Xu 1, Kai Zheng 1 ID , Xinyi Li 2 and Song Feng 1,* 1 Department of Mechanical Engineering, School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; jiufluo@gmail.com (J.L.); xuhaitao@zoho.com.cn (H.X.); zhengkai2001@163.com (K.Z.) 2 College of Mechanical Engineering, Chongqing University, Chongqing 400044, China; lixinyi1981@gmail.com * Correspondence: fengsong@cqupt.edu.cn

[1]  Huang Dishan,et al.  Phase error in fast Fourier transform analysis , 1995 .

[2]  Jiufei Luo,et al.  Phase difference methods based on asymmetric windows , 2015 .

[3]  D.A.F. Florencio.  On the use of asymmetric windows for reducing the time delay in real-time spectral analysis , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[4]  R. Rozman,et al.  Improving speech recognition robustness using non-standard windows , 2003, The IEEE Region 8 EUROCON 2003. Computer as a Tool..

[5]  C. K. Yuen,et al.  Theory and Application of Digital Signal Processing , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[6]  Ding Kang,et al.  CORRECTIONS FOR FREQUENCY, AMPLITUDE AND PHASE IN A FAST FOURIER TRANSFORM OF A HARMONIC SIGNAL , 1996 .

[7]  Zhijiang Xie,et al.  Asymmetric Windows and Their Application in Frequency Estimation , 2015 .

[8]  Kuldip K. Paliwal,et al.  Feature extraction from higher-lag autocorrelation coefficients for robust speech recognition , 2006, Speech Commun..

[9]  Zhijiang Xie,et al.  Frequency estimation of the weighted real tones or resolved multiple tones by iterative interpolation DFT algorithm , 2015, Digit. Signal Process..

[10]  F. Harris.  On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[11]  Miroslav Zivanovic,et al.  On asymmetric analysis windows for detection of closely spaced signal components , 2006 .

[12]  Jes A. F. Florencio.  Investigating the use of asymmetric windows in CELP vocoders , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[13]  John G. Proakis,et al.  Digital Signal Processing: Principles, Algorithms, and Applications , 1992 .

[14]  Dusan M. Kodek,et al.  Using asymmetric windows in automatic speech recognition , 2007, Speech Commun..