The orthonormal basis generated by a wavelet of L 2 (R) has poor frequency localization. To overcome this disadvantage Coifman, Meyer, and Wickerhauser constructed wavelet packets. We extend this concept to the higher dimensions where we consider arbitrary dilation matrices. The resulting basis of L 2 (R d) is called the multiwavelet packet basis. The concept of wavelet frame packet is also gen...

The presence of speckle in Synthetic Aperture Radar (SAR) images makes the segmentation of such images difficult A novel method for automatic segmentation of SAR images is proposed. Firstly, a wavelet packet based texture feature set is derived. It consists of the energy of the feature subimages obtained by the overcomplete wavelet packet decomposition of local areas in SAR image, where the dow...

In this paper, a wavelet packet decomposition (WPD) based real-time transcale linearquadratic-Gaussian (LQG) tracking control algorithm is given for a class of discrete stochastic systems, which is developed with the state-space models of wavelet packet coefficients at the coarsest scale decomposition layer established by Haar WPD. The WPD-based transcale control algorithm provides a compromise...

We extend our previous work on space-frequency quantization (SFQ) for image coding from wavelet transforms to the more general wavelet packet transforms. The resulting wavelet packet coder offers a universal transform coding framework within the constraints of filterbank structures by allowing joint transform and quantizer design without assuming a priori statistics of the input image. In other...

Objective of this paper is to identify a person taking fingerprint as a biometric parameter using wavelet packet transform. Here both conventional discrete wavelet transform (DWT) and discrete wavelet packet transform (WPT) are used considering special basis function/matrix to extract the coefficients of basis functions those convey the most of the energy of the signal or image. Here top 5% coe...

This paper presents and analyzes Wavelet Packet, Cosine Packet and Wave Atom Transforms based electrocardiogram (ECG) compression. The ECG signal is first transformed using these transforms. The transformed coefficients are thresholded in order to match the predefined user specified percentage root mean square difference (PRD) within the tolerance. The non-zero thresholded coefficients are then...

Compression of speech from the TIMIT corpus was investigated for several transform domain methods coding near-best and best bases from cosine and wavelet packet transforms. Satisficing (suboptimizing) search algorithms for selecting near-best bases were compared with optimizing algorithms for best bases in these adaptive tree-structured transforms. Experiments were performed on several hundred ...

An adaptive wavelet packet transform (AWPT) algorithm is proposed to process synthetic aperture radar (SAR) imagery and remove background clutters from target images. Since target features are more efficiently represented using the wavelet packet bases, higher signal-to-clutter ratios (SCR) can be achieved in the wavelet transform domain. Consequently, clutters can be more effectively separated...

Two main issues arise when working in the area of texture segmentation: the need to describe the texture accurately by capturing its underlying structure, and the need to perform analyses on the boundaries of textures. Herein, we tackle these problems within a consistent probabilistic framework. Starting from a probability distribution on the space of infinite images, we generate a distribution...