Discrete nonorthogonal wavelet transforms play an important role in signal processing by offering finer resolution in time and scale than their orthogonal counterparts. The standard inversion procedure for such transforms is a finite expansion in terms of the analyzing wavelet. While this approximation works quite well for many signals, it fails to achieve good accuracy or requires an excessive...

Wavelet transforms and other multi-scale analysis functions have been used for compact signal and image representations in de-noising, compression and feature detection processing problems for about twenty years. Numerous research works have proven that space-frequency and spacescale expansions with this family of analysis functions provided a very efficient framework for signal or image data. ...

BACKGROUND One of the most important limitations of standard pulse oximeters is the inability to detect changes in respiratory rate until oxygenation is affected. This study sought to determine if analysis of the plethysmogram by wavelet transforms would enable the determination of changes in respiratory rate at an earlier stage. METHODS Ten healthy adult volunteers were monitored, breathing ...

This paper presents a computer based manipulating and analyzing a digital images. The proposed method is used wavelet transform, this transformation arrange orthogonal series of both imaginary and real values. In this paper we are proposes a two algorithms one is dual tree complex wavelet transforms (DTCWT), and second one is dual tree complex wavelet transform with orthogonal shift property th...