A review of discrete wavelet transforms defined through Walsh functions and used for image processing, compression fractal signals, analysis financial time series, geophysical data is presented. Relationships the considered with bases recently constructed frames on Cantor Vilenkin groups are noted.

In this paper, we propose a general method for creating integer wavelet transforms which can be used in both lossless (reversible) and lossy compression of signals and images with arbitrary size. This method allows us to get a series of transformations which are very close to the corresponding biorthogonal wavelet transforms or some non-orthogonal wavelet transforms, but can be calculated with ...

In this paper a watermarking method using hybrid wavelet transform and SVD is proposed. Hybrid wavelet transform generated from two different orthogonal transforms is applied on host and SVD is applied to watermark. The transforms used for hybrid wavelet transform generation are DCT, Walsh, Haar and DKT. First component transform used in generation of hybrid wavelet transform corresponds to glo...

In this work, two ECG compression schemes are presented using two types of filter banks to decompose the incoming signal: wavelet packets (WP) and nearly-perfect reconstruction cosine modulated filter banks. The conventional embedded zerotree wavelet (EZW) algorithm takes advantage of the hierarchical relationship among subband coefficients of the pyramidal wavelet decomposition. Nevertheless, ...

WC introduce a new zzrotree scheme that e&tively exploits the inter-scale self-similaritizs found in the octave decomposition hy a wavelet transform. :2 zerotreti is useful to code wavelet coefiicients and its 4&tiveness wa.q proved hy Shapiro’s I:%W. In the coding scheme. wavzlz~ uoellicients are symholizsd and then entropy-coded. ~fhe entropy per symbol is determined from the produced symbols...