Wave Cluster is a grid based clustering approach. Many researchers have applied wave cluster technique for segmenting images. Wave cluster uses wave transformation for clustering the data item. Normally it uses Haar, Daubechies and Cohen Daubechies Feauveau or Reverse Bi-orthogonal wavelets. Symlet, Biorthogonal and Meyer wavelet families have been used in this paper to compare its clustering c...

Induction motor vibrations, caused by bearing defects, result in the modulation of the stator current. In this research, bearing defect is detected using the stator current analysis via Meyer wavelet in the wavelet packet structure, with energy comparison as the fault index. The advantage of this method is in the detection of incipient faults. The presented method is evaluated using experimenta...

A non-uniform speech segmentation method based on wavelet packet transform is used for the localisation of phoneme boundaries. Eleven subbands are chosen by applying the mean best basis algorithm. Perceptual scale is used for decomposition of speech via Meyer wavelet in the wavelet packet structure. A real valued vector representing the digital speech signal is decomposed into phone-like units ...

rifi such that each ri has degree at most deg f+(kd) n). Mayr and Meyer in [MM] found (generators) of a family of ideals for which a doubly exponential bound in n is indeed achieved. Bayer and Stillman [BS] showed that for these Mayr-Meyer ideals any minimal generating set of syzygies has elements of doubly exponential degree in n. Koh [K] modified the original ideals to obtain homogeneous quad...

We prove a version of the Doob Meyer decomposition for supermartingales with a linearly ordered index set. Key words Doob Meyer decomposition, natural increasing processes, potentials, supermartingales. Mathematics Subject Classi…cation (2000): : 28A12, 60G07, 60G20.

Although wavelet analysis is a relatively young mathematical subject, it has already drawn a great deal of attention, not only among mathematicians themselves, but from various other disciplines as well. In fact, it is fair to attribute the main driving force of the rapid development of this field to the “users” rather than to the “inventors” of mathematics. To the mathematicians, Fourier analy...