基于二進(jìn)小波變換的實(shí)信號(hào)的多尺度Hilbert變換和瞬時(shí)頻率提取
Dyadic wavelet transform based real signal multiscale hilbert transform and extraction of instantaneous frequency
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摘要: 該文著重討論了使用二進(jìn)小波變換方法實(shí)現(xiàn)數(shù)字Hilbert濾波,特別是使用濾波器組實(shí)現(xiàn)多尺度Hilbert濾波所要考慮的各尺度濾波器的設(shè)計(jì)問題。將多尺度Hilbert方法應(yīng)用到求信號(hào)的瞬時(shí)參數(shù)中,并利用小波變換的去噪思想,取得了比使用DWT方法去噪更好的去噪效果。
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關(guān)鍵詞:
- 二進(jìn)小波變換; 數(shù)字Hilbert濾波器; 多尺度
Abstract: 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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