The wavelet transform is a very useful tool for analyzing signals with self-similar behavior by virtue of the fact that the wavelet basis itself displays self similar properties. Recordings of mean arterial pressure in conscious dogs that had been shown to exhibit non-linear deterministic behaviour (self-similar characteristics) were used for analysis. We applied a redundant wavelet transform t...

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We study the wavelet transform of functions invariant under a symmetry group, where the wavelet transform is associated to an irreducible unitary group representation. Among other results a new inversion formula and a new covariance principle are derived. As main examples we discuss the continuous wavelet transform and the short time Fourier transform of radially symmetric functions on R. 2000 ...

Wavelet transform and distributional wavelet transform are used to obtain the solution of few integral equations in this paper.

There has been a lot of research work dedicated towards image denoising compared to those of video denoising due its complexity. However, with the wide spread of video usage in many fields of our lives, it becomes very important to develop new techniques for video denoising. The previous research in spatial video denoising was based on two of the famous techniques in the image denoising named 2...

The 2-band discrete wavelet transform (DWT) provides an octave-band analysis in the frequency domain, but this might not be ‘optimal’ for a given signal. The discrete wavelet packet transform (DWPT) provides a dictionary of bases over which one can search for an optimal representation (without constraining the analysis to an octave-band one) for the signal at hand. However, it is well known tha...

quantitative prediction of municipal solid waste generation has an important role in the optimization and programming of municipal solid waste management system. but, this concept was companied with many problems, because of the non homogenous nature and the effect of various factors out of the control on solid waste generation. in this study, the combination of artificial neural network and wa...

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.

A new spin wavelet transform on the sphere is proposed to analyse the polarisation of the cosmic microwave background (CMB), a spin ±2 signal observed on the celestial sphere. The scalar directional scale-discretised wavelet transform on the sphere is extended to analyse signals of arbitrary spin. The resulting spin scale-discretised wavelet transform probes the directional intensity of spin si...

This paper presents a review on application of wavelet transform for condition monitoring and fault diagnosis of mechanical equipment. The discrete wavelet transform performs a multilevel signal decomposition to extract fault features from the vibration signal. A review on all the literature of condition monitoring using wavelet transform is certainly not possible. The purpose of this review pa...