Instantaneous wavelet transform decomposition filter for on-line applications

Abstract

In this paper, a new digital filter in the category of parallel implemented Wavelet Transform Decomposition (WTD) is proposed for on-line applications. The presented method allows a faster filtering process, even if one considers calculation with every newly drawn sample, and the successive procedure of signal processing in basic Discrete Wavelet Transform (DWT) is omitted. The most important feature of this filter is its reduced order form. Although it gives an approximated filter, its output has a good agreement with full order form and deliberately offers less delay and calculation burden to give the outputs.