<title>Wavelet compression through wavelet Stieltjes transform</title>

Abstract

A new wavelet transform is introduced for analyzing image compression and signal processing. We introduce Wavelet Stieltjes transform (WST) which provides a unified framework to analyze both continuous and discrete signals. Some properties of WST are summarized. Moreover, we obtain multiresolution analysis and encode WST coefficients for WST. It is shown that one can distinguish images or signals by WST methods while they are not discriminated by regular wavelet transform. Theory for regular wavelet transform may be extended to WST.