In this paper, work on a new wavelet packet basis selection paradigm is reported which emphasizes the crucial role of quantization strategy being used. This paradigm is coupled with a new Markov chain based estimation of the cost of zerotree quantization to develop a progressive wavelet packet image coder which gives better results than its wavelet counterpart.

The rolling element bearingsare most critical components in a machine. Condition monitoring and fault diagnostics of these bearings are of great concern in industries as most rotating machine failures are often linked to bearing failures. This paper presents a methodology for fault diagnosis of rolling element bearings based on discrete wavelet transform (DWT) and wavelet packet transform (WPT)...

This article proposes the use of time-ordered non-decimated wavelet or nondecimated wavelet packet transforms to provide flexible representations of a time series (explanatory). The resulting representations are then used as variables in a statistical model to provide predictions of another (response) time series. The statistical model provides valuable information about which components in the...

Inspired by both the multilayer perceptron (MLP) and wavelet decomposition, Zhang and Benveniste proposed the wavelet MLP (W-MLP), which has been usedfor time series prediction. The wavelet packet MLP (WP-MLP) is an MLP with the wavelet packet as a feature extraction method to obtain time-frequency information. The WPMLP has been successfully applied to biomedical, image and speech classificati...

Wavelet packets are an effective representation tool for adaptive waveform analysis of a given signal. We first combine the wavelet packet representation with zerotree quantization for image coding. A general zerotree structure is defined which can adapt itself to any arbitrary wavelet packet basis. We then describe an efficient coding algorithm based on this structure. Finally, the hypothesis ...

Image compression methods that use wavelet transforms have been successful in providing high rates of compression while maintaining good image quality. Even superior to these wavelet techniques are methods based on wavelet packet decompositions. When processing satellite data the amount of data suggests to use a parallel approach. Wavelet packet decomposition with best basis selection is implem...

Wavelet packet analysis was used to measure the global scaling behaviour of homogeneous fractal signals from the slope of decay for discrete wavelet coefficients belonging to the adapted wavelet best basis. A new scaling function for the size distribution correlation between wavelet coefficient energy magnitude and position in a sorted vector listing is described in terms of a power law to esti...