Cai Yu, Liu Guizhong, Hou Xingsong. Dyadic wavelet transform based real signal multiscale hilbert transform and extraction of instantaneous frequency[J]. Journal of Electronics & Information Technology, 2002, 24(8): 1028-1034.
Citation:
Cai Yu, Liu Guizhong, Hou Xingsong. Dyadic wavelet transform based real signal multiscale hilbert transform and extraction of instantaneous frequency[J]. Journal of Electronics & Information Technology, 2002, 24(8): 1028-1034.
Cai Yu, Liu Guizhong, Hou Xingsong. Dyadic wavelet transform based real signal multiscale hilbert transform and extraction of instantaneous frequency[J]. Journal of Electronics & Information Technology, 2002, 24(8): 1028-1034.
Citation:
Cai Yu, Liu Guizhong, Hou Xingsong. Dyadic wavelet transform based real signal multiscale hilbert transform and extraction of instantaneous frequency[J]. Journal of Electronics & Information Technology, 2002, 24(8): 1028-1034.
In this paper , the method for designing digital filters and their implementation and application via filter banks are introduced. The design of digital Hilbert filters of each scale in dyadic wavelet filter banks is particularly discussed. Moreover, this method, which based on multiscale Hilbert filtering methods, is applied to the extraction of the instantaneous frequency and obtains a better denoising result compared with the traditional DWT denoising method.
G. Beylkin, B. Torresani, Implementation of operators via filter banks: Autocorrelation shell and Hardy wavelets, Appl. and Comput. Harmonic Anal., 1996, (3), 164-185.[2]J. Gao, X. Dong, W. Wang, Instantaneous parameters extraction via wavelet transform, IEEE Trans, on Geoscience and Remote Sensing, 1999, GRS-37(3), 265-268.[3]I. Daubechies, Orthonormal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, 1988, 41(10), 909-996.[4]G. Beylkin, On the representation of operators in bases of compactly supported wavelets, SIAM J. Numerical. Anal., 1992, 6(12), 1716-1740.
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