We present a general framework for the design of a mother wavelet best adapted to a specific signal or to a class of signals. The filter’s coefficients are obtained via optimization of a smooth objective function. We develop an unconstrained gradient-based optimization algorithm for a discrete wavelet transform. The algorithm is extended to the joint optimization of the mother wavelet and of th...

Motivated by their utility in coding of digital communication signals, numerous examples of orthonor-mal wavelet sets that are generated from a bandlim-ited mother wavelet have been constructed. In most of these examples, orthogonality of the replicates at diierent scales is achieved by ensuring that the frequency domain supports at every scale are disjoint. Given the mother wavelet for such a ...

Clustering is used in content-based multimedia retrieval to reduce the size of the search space and make user navigation through the database easier. In retrieval by example systems, clusters are selected and presented to the user before starting a search in order to give him an overview of the database contents. The discrete wavelet transform with specific mother functions is widely adopted to...

prediction of precipitation is very important. regarding to the non- linear relationships and uncertainty of models, there is no superior and persuasive model among various proposed models to simulate precise precipitation and its amount. wavelet is one of the novel and very effective methods in time series and signals analyzing, that has been considered in the field of hydrology in recent year...

corrosion of reinforcing steel and other embedded metals is the main cause of severe deterioration in reinforced concrete structures which subsequently imposes adverse effects on ultimate and serviceability limit state performance of the whole structure. in this paper, a new corrosion detection method for reinforced concrete beams, based on wavelet analysis is presented. to evaluate the capabil...

In this paper we present a new form of wavelet transform. Unlike the continuous wavelet transform (CWT) or discrete wavelet transform (DWT), the mother wavelet is chosen to be a discrete-time signal and wavelet coefficients are computed by correlating a given discrete-time signal with continuous dilations of the mother wavelet. The results developed are based on the definition of a discrete-tim...

Recently discrete wavelet transform and wavelet packet has emerged as popular techniques for image compression. The wavelet transform is one of the major processing components of image compression. The results of the compression change as per the basis and tap of the wavelet used. This paper compares compression performance of Daubechies, Biorthogonal, Coiflets and other wavelets along with res...

This paper exploited the various mother wavelets for fault detection. A different value of fault resistances analyzed on different types of mother wavelets. Comparisons are made based on the sum of coefficients in multi resolution signal decomposition (MSD) using Discrete Wavelet Transform (DWT). Based on the extensive investigations on different value of fault resistance in Line-Ground (L-G) f...

This paper presents a technique for compact three dimensional (3D) object model reconstruction using wavelet networks. It consists to transform an input surface vertices into signals,and uses wavelet network parameters for signal approximations. To prove this, we use a wavelet network architecture founded on several mother wavelet families. POLYnomials WindOwed with Gaussians (POLYWOG) wavelet ...