Responses of Gabor wavelets in the mid-frequency space build a local spectral representation scheme with optimal properties regarding the time-frequency uncertainty principle. However, when using Gabor wavelets we observe a skewness in the mid-frequency space caused by the unsymmetrically spreading effect of Gabor wavelets. Though in most current applications the skewness does not obstruct the ...

In the present work we analyze the performance of orthogonal and Biorthogonal wavelet for electrocardiogram (ECG) compression. Both types of wavelets applied on different types of records taken from MIT-BIH database. A thresholding algorithm based on energy packing efficiency of the wavelet coefficients is used to threshold the wavelet coefficients. We divide wavelet coefficients in two groups ...

Fast lifting wavelet transform is a technique which replaces standard discrete wavelet transform used in computation of wavelet coefficients. The idea of lifting comes from the lifting scheme, a method used in wavelet design. The standard method relies on convolution of the original signal with FIR filter structures. Fast lifting scheme basically breaks up the original filters into a series of ...

Gaussian assumptions of non-Gaussian noises hinder the improvement state estimation accuracy. In this paper, an asymmetric generalized distribution (AGGD), as a unified representation various unimodal distributions, is applied to formulate forecasting-aided problem. To address problem, novel particle filter method proposed, which integrates near-optimal AGGD proposal function and sampling into ...

Wavelet transforms using matrix-valued wavelets (MVWs) can process the components of vector-valued signals jointly, and thus offer potential advantages over scalar wavelets. For every matrix-valued scaling filter, there are infinitely many matrix-valued wavelet filters corresponding to rotated bases. We show how the arbitrary orthogonal factor in the choice of wavelet filter can be selected ada...

We propose a novel framework for a new class of two-channel biorthogonal filter banks. The framework covers two useful subclasses: i) causal stable IIR filter banks ii) linear phase FIR filter banks. There exists a very effcient structurally perfect reconstruction implementation for such a class. Filter banks of high frequency selectivity can be achieved by using the proposed framework with low...

Block Wavelet Transforms (BWTs) are orthogonal matrix transforms that can be obtained from orthogonal subband filter banks. They were initially generated to produce matrix transforms which may carry nice properties inheriting from wavelets, as alternatives to DCT and similar matrix transforms. Although the construction methodology of BWT is clear, the reverse operation was not researched. In ce...

Tomographic reconstruction from PET data is an ill-posed problem that requires regularization. Recently, Daubechies et al. [1] proposed an l (1) regularization of the wavelet coefficients that can be optimized using iterative thresholding schemes. In this paper, we extend this approach for the reconstruction of dynamic (spatio-temporal) PET data. Instead of using classical wavelets in the tempo...

A plenty of research about thresholding methods in wavelet domain has been proposed by many authors. Multiwavelet domain can be decomposed as scalar wavelets and differently according to the structure of scaling functions. When scaling functions are symmetric-antisymmetric, the antisymmetric part is low pass filter in mathematical formula. But in practice it works as high pass filter because of...

A new family of multidimensional dimensional (MD) perfect reconstruction (PR) two channel filter banks with finite impulse response (FIR) filters induced from systems of biorthogonal MD scaling functions and wavelets are introduced. One of the advantages of this construction is that the biorthogonal scaling functions and wavelets are easy to establish due to the interpolatory property of the sc...