We use cumulants to derive Bayesian credible intervals for wavelet regression estimates. The first four cumulants of the posterior distribution of the estimates are expressed in terms of the observed data and integer powers of the mother wavelet functions. These powers are closely approximated by linear combinations of wavelet scaling functions at an appropriate finer scale. Hence, a suitable m...

Motion compensated wavelet transform (MCWT) coding is emerging as a promising framework for efficient and scalable compression of video. Moreover, the motion-compensated lifting scheme is known to be an efficient way to implement wavelet transforms for applications dedicated to video coding. In order to increase the performances of a wavelet-based video coder, we minimize the influence of some ...

In this paper, a fault diagnosis system based on discrete wavelet transform (DWT) and artificial neural networks (ANNs) is designed to diagnose different types of fault in gears and bearings. DWT is an advanced signal-processing technique for fault detection and identification. Five features of wavelet transform RMS, crest factor, kurtosis, standard deviation and skewness of discrete wavelet co...

In this paper we draw links between the widely used gammatone lter auditory model and wavelet theory. From the viewpoint of wavelet theory the beneet from linking these research elds is a fast method for the computation of a timescale representation. From the viewpoint of auditory ltering the beneets are the existence of methods for the detection of signal singularities and for resynthesis. Our...

Pulse period of earthquake records has been known as a key parameter in seismology and earthquake engineering. This paper presents a detailed characterization of this parameter for a special class of earthquake records called pulse-like ground motions. This type of motions often resulting from directivity effects is characterized by a strong pulse in the velocity time history of motion, in norm...

This paper presents a method for analysis of ECG patterns using Cross Wavelet Transform (XWT) and Wavelet Coherence (WCOH) techniques. The cross-correlation is the measure of similarity between two waveforms. The application of the Continuous Wavelet Transform to two time series and the cross examination of the two decomposition reveals localized similarities in time and scale. Morlet wavelet i...

The low voltage level synchrophasor measurement data are investigated to estimate the damping ratio and to detect any oscillation mode using Fast Fourier Transform (FFT) and Continuous Wavelet Transform (CWT). Complex Morlet (CM) is selected as a mother wavelet function considering its ability to reveal time and frequency localization simultaneously. A Two Area Four Machine System (TAFMS) model...

This paper presents a new algorithm for designing Quadrature Mirrors Filters (QMF) banks using windowing techniques. In the proposed algorithm the cut off frequency of the prototype filters is iteratively varied such that the perfect reconstruction at frequency (ω=0.5π) in ideal condition is approximately equal to 0.707. The designed QMF banks are used as mother wavelet for speech compression a...