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In this paper, the problem of estimating the fluorescence background of a Raman spectrum was addressed. We proposed to remove the fluorescence background via curve fitting. Furthermore, wavelet packet transform was chosen to compress Raman spectra data in case the data need large space to store and long time to search. We presented two methods for data processing in Raman spectroscopy of high methoxy...
In this paper, the notion of multiresolution matrix-valued multiresolution analysis is introduced. A method for constructing biorthogonal multiple vector-valued multivariate wavelet wraps is put forward and their properties are investigated by means of time-frequency analysis method, matrix theory and operator theory. Three biorthogonality formulas concerning these wavelet packets are obtained. Finally,...
Wavelet analysis is a popular subject in science research. The notion of univariate orthogonal wavelet packets is generalized. First, the notion of biorthogonal nonseparable tri-variate wavelet packets is proposed and a procedure for constructing them is presented. Next, the biorthogonality property of trivariate wavelet packets is investigated, and three biorthogonality formulas of wavelet packets...
In this paper, we introduce a class of vector-valued wavelet packets of space L2(Rd, Ru), which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method and operator theory...
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