Wavelet shrinkage estimators of Hilbert transform
نویسندگان
چکیده
منابع مشابه
The design of approximate Hilbert transform pairs of wavelet bases
Several authors have demonstrated that significant improvements can be obtained in wavelet-based signal processing by utilizing a pair of wavelet transforms where the wavelets form a Hilbert transform pair. This paper describes design procedures, based on spectral factorization, for the design of pairs of dyadic wavelet bases where the two wavelets form an approximate Hilbert transform pair. Bo...
متن کاملThe Design of Hilbert Transform Pairs of Wavelet Bases
Ivan W. Selesnick Electrical Engineering, Polytechnic University 6 Metrotech Center, Brooklyn, NY 11201 [email protected] ABSTRACT This paper describes design procedures, based on spectral factorization, for the design of pairs of dyadic wavelet bases where the two wavelets form a Hilbert transform pair. Both orthogonal and biorthogonal FIR solutions are presented, as well as IIR solutions. ...
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In evaluating the quality of waveform energy, Total Harmonic Distortion can be one of the unique testing parameters showing the disturbance effect on pure waveform or regenerated waveform. As harmonics may added to distort the fundamental waveform, the analysis of signal dynamic characteristic and the measurement of harmonics effect on the integrity of the waveform will be study to explore and ...
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A mean function in a reproducing kernel Hilbert space (RKHS), or a kernel mean, is central to kernel methods in that it is used by many classical algorithms such as kernel principal component analysis, and it also forms the core inference step of modern kernel methods that rely on embedding probability distributions in RKHSs. Given a finite sample, an empirical average has been used commonly as...
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We propose an amplitude-phase representation of the dual-tree complex wavelet transform (DT-CWT) which provides an intuitive interpretation of the associated complex wavelet coefficients. The representation, in particular, is based on the shifting action of the group of fractional Hilbert transforms (fHT) which allow us to extend the notion of arbitrary phase-shifts beyond pure sinusoids. We ex...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2011
ISSN: 0021-9045
DOI: 10.1016/j.jat.2011.02.005