An Introduction to Random Vibrations, Spectral and Wavelet Analysis

An Introduction to Wavelet Theory and Analysis

his report reviews the history, theory and mathematics of wavelet analysis. Examination of the Fourier Transform and Short-time Fourier Transform methods provides information about the evolution of the wavelet analysis technique. This overview is intended to provide readers with a basic understanding of wavelet analysis, define common wavelet terminology and describe wavelet analysis algorithms...

Wavelet-based Random Vibrations in Earthquake Engineering

The recent development of wavelet analysis techniques has made it possible to represent the temporal variations of frequency content in an earthquake accelerogram elegantly. These techniques are more versatile than the other time-frequency localizing techniques due to their flexible time-frequency windowing feature. This development has led to the timeand frequency-based characterizations of gr...

An Introduction to Random Matrices An Introduction to Random Matrices

An Introduction to Wavelet Transform

Wavelet transforms have become one of the most important and powerful tool of signal representation. Nowadays, it has been used in image processing, data compression, and signal processing. This paper will introduce the basic concept for Wavelet Transforms, the fast algorithm of Wavelet Transform, and some applications of Wavelet Transform. The difference between conventional Fourier Transform ...

Uterine contractility signals--an introduction to wavelet analysis.

PURPOSE Analysis of the uterine contractility in the nonpregnant states has provided information about physiological changes during menstrual cycle. There is need to develop methods of recording uterine activity as well as mathematical interpretation of recorded time series. Wavelets are a new powerful tool for signal and image processing. The aim of this study is an introductory view of Fourie...