Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms
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...
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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 designing the Hilbert transform pairs of biorthogonal wavelet bases, it has been shown that the requirements of the equalmagnitude responses and the half-sample phase offset on the lowpass filters are the necessary and sufficient condition. In this paper, the relationship between the phase offset and the vanishing moment difference of biorthogonal scaling filters is derived, which implies a ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2009
ISSN: 1053-587X,1941-0476
DOI: 10.1109/tsp.2009.2020767