Methods to extract phase information using real wavelet transforms

Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering

Volumn 27, Issue 22, 2007, Pages 8-13

  Chen, Xiang Xun ^a  

^a CHINA ELECTRIC POWER RESEARCH INSTITUTE   (China)

Author keywords

Phase information; Phasor in wavelet domain; Quadrature signal in wavelet domain; Real valued wavelet transform

Indexed keywords

ELECTRIC POWER SYSTEMS; MATLAB;

PHASE ANGLE; PHASE INFORMATION; QUADRATURE SIGNAL; WAVELET DOMAIN;

DISCRETE WAVELET TRANSFORMS;

EID: 34548316356     PISSN: 02588013     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. Oppenheim A V, Li J S. The importance of phase in signal[J]. Proc. IEEE, 1981, 69(5): 529-541.
2. Spaendonck R, Blue T, Baraniuk R, et al. Orthogonal Hilbert transform filterbanks and wavelets[C]. ICASSP03, Hong Kong, 2003.
3. Unser M, Aldroubi A. A review of wavelets in biomedical applications[J]. Proceedings of the IEEE, 1996, 84(4): 626-638.
4. Saddad H. Analog complex wavelet filter[C]. ISCAS2005, Kobe, Japan, 2005, 3287-3290.
5. Lawton W. Applications of complex valued wavelet transforms to subband decomposition[J]. IEEE Trans. Signal Processing, 1993, 41(12): 3566-3568.
6. Ghohal A. Complex Wavelets, CS658: Seminar on Shape Analysis and Retrieval 2004[J/OL]. www.cs.jhu.edu/-misha/Fall04/Arnab.pdf.
7. Fernandes F, van Spaendonck R, Burrus C. A new framework for complex wavelet transforms[J]. IEEE Trans. Signal Processing, 2003, 51(7): 1825-1837.
8. Fernandes F, Selesnick Ivan W, van Spaendonck R, et al. Complex wavelet transforms with allpass filters[J]. Signal Processing, 2003, 83(8): 1689-1706.
9. Pancham Shukla. Complex wavelet transforms and their applications[M]. MPhil thesis, University of Strafhclyde, Glasgow, UK, 2003.
10. Lina J M. Image processing with complex daubechies wavelets[J]. J. of Math. Imaging and Vision, 1997, 7(3): 211-223.
11. Chen Xiangxun. Associated compactly-supported orthonormal wavelets and their applications in power systems[C]. Proceedings of ICEE'99, , 1999.
12. Chen Xiangxin. Complex compactly-supported orthonormal wavelets and their applications in power systems[J]. Proceedings of the CSEE, 2000, 20(7): 83-88.
13. Chen Xiangxun. A generalization lifting approach to construct complex compactly-supported biorthogonal wavelets[J]. Proceedings of the CSEE, 2001, 21(5): 34-37,42.
14. Chen Xiangxun, Wavelet-based detection, localization, quantification and classification of short duration power quality disturbances[C]. Proceedings of IEEE Power Engineering Society Winter Meeting 2002, New York, 2002.
15. Chen Xiangxun. Wavelet-based quadrature signal method for tracking flicket level[C]. Digest of Conference on Precision Electromagnetic Measurements 2004, London, 2004.
16. Zhang Z, Fujiwarw H, Toda H, et al. A new complex wavelet transform by using ri-spline wavelet[C]. ICASSP2004, Quebec, Canada, 2004.
17. Selesnick I W. The double density dual-tree discrete wavelet transforms[J]. IEEE Trans. Signal Processing, 2004, 52(5): 1304-1314.
18. Selesnick I W. The Double Density D W T, In a Petrosian and F G Meyer: editors, Wavelets in Signal and Image Analysis, Theory to Practice[M]. Kluwar, 2001.
19. Mallat S. A theory for multiresolution signal decomposition: the wavelet representation[J]. IEEE Trans. PRAMI, 1989, 11(7): 674-693.
20. Daubechies I. Ten lectures on wavelets[M]. SIAM, Philadelphia (PA), 1992.