The main objective of this paper is to study the composition continuous Kontorovich-Lebedev wavelet transform (KL-wavelet transform) and wave packet (WPT) based on (KL-transform). Estimates for KL-wavelet are obtained, Plancherel?s relation WPT-transform derived. Reconstruction formula WPT associated KL-transform also deduced at end Calderon?s related using its convolution property obtained.

Arbitrary-shape wavelet packet transform (ASWPT) is presented as an adjustment of the traditional quad-tree wavelet packet transform. The group normalization (GN) and softer logic masking (SLM) techniques are introduced for image restoration with optimal visual result and high PSNR.

Besides many advantages of wavelet transform, it has several drawbacks, e.g. ringing, shift variance, aliasing and lack of directionality. Some of them can be eliminated by using wavelet packet transform, stationary wavelet transform, complex wavelet transform, adaptive directional lifting-based wavelet transform, or adaptive wavelet filter banks that use either L2 or L1 norm. This paper contai...

This paper deals with frequency offset estimation in OFDM systems. The proposed approach is based on adapted wavelet packet decomposition of the shifted received signal. The binary tree is optimized, in iterative manner, according to a comparison between decomposed signals energy. The proposed approach is characterized by small number of iterations, short wavelet packet filters and robustness a...

This correspondence introduces a new approach to characterize textures at multiple scales. The performance of wavelet packet spaces are measured in terms of sensitivity and selectivity for the classification of twenty-five natural textures. Both energy and entropy metrics were computed for each wavelet packet and incorporated into distinct scale space representations, where each wavelet packet ...

On the wavelet-packet modulation scheme, wavelet packets are used as carriers, where information to be transmitted is encoded, via an inverse wavelet packet transform, as the coefficient of wavelet packets. The power spectrum density (PSD) of the modulated signals describes the property of modulation in frequency domain, which is discussed by many researchers by simulation. In this paper, the f...