the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

The article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (CWT) of prime dimensional periodic signals.

This study deduces a general inversion of continuous wavelet transform (CWT) with timescale being real rather than positive. In conventional CWT inversion, wavelet’s dual is assumed to be a reconstruction wavelet or a localized function. This study finds that wavelet’s dual can be a harmonic which is not local. This finding leads to new CWT inversion formulas. It also justifies the concept of n...

The paper presents the content based retinal image retrieval (CBRIR) based on dual tree complex wavelet transform (DT-CWT) and multi wavelet. The multi wavelet transform is more retrieval accuracy compare to DT-CWT. It is less complexity and less retrieval time. In this work, the proposed method follows two steps. The firstly, apply the wavelet transform (either DT-CWT or multi wavelet) and ene...

this paper illustrates the application of s-transform and continuous wavelet transform (cwt) for fault location in combined overhead line and cable distribution networks. the high frequency transient signals originated by faults are analyzed using s-transform and cwt. the s-transform is found to be applicable in transient based fault location in distribution networks. this technique is an expan...

This paper concerns the issue of wavelet analysis of signals by continuous and discrete wavelet transforms (CWT – Continous Wavelet Transform, DWT – Discrete Wavelet Transform). The main goal of our work was to develop a program which, through the CWT and the DWT analyses, would obtain graph of time-scale changes and would transform it into the spectrum, that is a graph of frequency changes. In...

introduction: wavelet transform is one of the useful and suitable tools for time series and signal analysis. nowadays wavelet transform is frequently used in geophysical data processing and interpretation, especially seismic data. however, the use of this method isn’t widespread in gravity and geomagnetic. fedi and quarta (1998), martelet et al. (2001) and de oliveira lyrio (2004) used the wave...

Image Resolution enhancement (RE) schemes which are based on wavelets have an advantage over conventional methods which suffer from the losing of high frequency contents which causes blurring. The discrete wavelet transform-based (DWT) RE scheme generates artifacts due to a DWT shift-variant property. A wavelet-domain approach based on double density dual-tree complex wavelet transform (DDDT-CW...

The multiscale analysis of potential fields is a valid tool to study the source properties. Among multiscale methods, the Continuous Wavelet Transform (CWT) is well established due to its natural filtering properties. From the beginning the choice of the analyzing wavelet has been the set belonging to the Poisson kernel: within this framework the CWT can be easily performed by upward continuing...