This paper presents a new approach to an adaptive wavelet transformation. Contrary to the known techniques for wavelet packets, relevant statistical properties (mainly the correlation) of the current subband are rst analyzed. Dependent on that, the decomposition decision is made, whether the subband should be transformed or not. This procedure does not yield to a best-basis selection but to a n...

Kirchhoo migration operator is a highly oscillatory integral operator. In our previous work (see \Seismic Imaging in Wavelet Domain", Wu and Yang 1], 1997), we have shown that the matrix representation of Kirchhoo migration operator for homogeneous background in space-frequency domain is a dense matrix, while the compressed beamlet-operator, which is the wavelet decomposition of the Kirchhoo mi...

This study explores the potential of wavelet decomposition of leaf reflectance spectra for quantifying foliar biochemicals and water. A leaf-scale radiative transfer model was used to generate a very large spectral data set with which to develop and rigorously test the technique. The size of the data set enabled a thorough statistical analysis of the performance a range of alternative methods f...

This paper describes a new design of a psychoacoustic model for audio coding following the model used in the standard MPEG-1 audio layer 3 using an appropriate wavelet packet decomposition of the speech/audio signal. The design of a psychoacoustic model is achieved by wavelet packet decomposition whose connections are selected in such a way that sub bands correspond to the best possible one to ...

ABSTRACT: For analyzing non-linear and non-stationary signals Empirical Mode Decomposition (EMD) is introduced as an adaptive method like wavelet packet best basis decomposition. Huang et. al introduced the empirical mode decomposition (EMD) in signal processing in 1998. In this communication we investigated the performance of video denoising using bi-dimensional EMD along with wavelet threshol...

There are many techniques of loss image compression based on dyadic decomposition of images. In these decompositions always linear filters are used. In this paper it is proposed to use nonlinear weighted median filters in the place of linear ones and it is shown how median filters may be used in dyadic decomposition. This technique has been compared with the non-standard wavelet decomposition, ...