The classification of transient timevarying electroencephalography (EEG) is quite important for further understanding the brain function. In order to classify different kinds of nonstationary EEG rhythms, wavelet packet analysis is used for designing sub-band filters with specified band-passed characteristics. Four kinds of wavelet packet decomposition using Daubechies wavelet are employed to i...

When transmitting images over practical communication channels, they are subject to packet loss and random errors due to the noisy nature of the channel. Errors and data loss are customarily recovered by means of error correction coding/decoding. In this paper, robust error-recovery algorithms are developed by utilizing the redundancy inherent in frame expansions. A new class of wavelet-type fr...

This paper explains a study conducted based on wavelet based transform techniques. We have used discrete wavelet transform and wavelet packet decomposition. The database is created by using Malayalam (one of the south Indian Languages) language spoken words. Daubechies type of mother wavelet was used for the experiment. Six hundred and forty samples are collected, for the experiment. The featur...

In the past few decades, mathematics based approaches have been widely adopted in various image restoration problems, among which the partial differential equation (PDE) based approach (e.g. the total variation model [56] and its generalizations, nonlinear diffusions [15, 52], etc.), and wavelet frame based approach are some of successful examples. These approaches were developed through differ...

Une base orthonormale de L 2 (R), dont les el ements sont bien localis es dans l'espace de phase et leurs supports adapt es a toute partition sym etrique de l'espace des fr equences, s erie I, C. R. A modiied Haar system and higher order spline systems on R n as unconditional bases for Hardy spaces, Conference inharmonic analysis in honor of Antoni Zygmund II, W. Beckner et al.

Applications of wavelet frames to image restoration problems (e.g. image deblurring and inpainting) have been successful due to their redundancy and capability of sparsely approximating piecewise smooth functions like images (see e.g. [13, 14, 8]). However, wavelet frames have not yet been used for surface reconstruction problems. Recently in [6], connections between one of the wavelet frame ba...

Since two decades, wavelet packet decompositions have been shown effective as a generic approach to feature extraction from time series and images for the prediction of a target variable. Redundancies exist between the wavelet coefficients and between the energy features that are derived from the wavelet coefficients. We assess these redundancies in wavelet packet decompositions by means of the...

In this paper we intend to optimize a wavelet-based dictionary for transient modelling with application to parametric audio coding. Transient modelling is performed by matching pursuit with an overcomplete dictionary composed of orthonormal wavelet functions that implement a wavelet-packet filter bank. We try to find the prototype filter length, the decomposition depth and the orthogonal wavele...