For seismic resistant design of critical structures, a dynamic analysis, based on either response spectrum or time history is frequently required. Due to the lack of recorded data and randomness of earthquake ground motion that might be experienced by the structure under probable future earthquakes, it is usually difficult to obtain recorded data which fit the necessary parameters (e.g. soil ty...

A main feature of wavelet analysis is localizable characteristic in time-domain and frequency-domain. However, localizable characteristic is formed from time-frequency windows with elasticity. Sampling interval of wavelet transform can be automatically adjusted in the second wavelet sampling, therefore wavelet transform can focus to arbitrary details of observed signal. Sample is the important ...

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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 analysis is proposed as a new tool for studying the large-scale structure formation of the universe. To reveal its usefulness, the wavelet decomposition of one-dimensional cosmological density fluctuations is performed. In contrast with the Fourier analysis, the wavelet analysis has advantage of its ability to keep the information for location of local density peaks in addition to that ...

This is a very brief introduction on the basic concepts of wavelet transform and its applications. It is certainly not possible to present comprehensive details for wavelets in a short time, only an attempt to interject some underlying features to engineers who are not yet familiarize with wavelet transform on what makes wavelet one of the most exciting useful tools as well as research areas to...

For a range of Hardy and Bergman spaces X and sets of uniqueness K we show that for any functional φ ∈ X∗ there exists a sequence of measures (μn) supported on K converging weak* to φ. In particular, we consider H2 of the right half plane and obtain a Carleman–type formula for the continuous wavelet transform.

In this paper, we propose a modified method for the circuit analysis using wavelet transform with adaptive resolutions. Recently, many approaches to the circuit analysis using the wavelet transform have been proposed. Previously, we proposed method which can choose adaptive resolution automatically using multiresolution analysis. However, the method cannot be applied when the waveform has the s...

Some large wind turbines use a synchronous generator directly-coupled to the turbine. This paper considers condition monitoring and diagnosis of mechanical and electrical faults in such a variable speed machine. The application of wavelet transforms is investigated because of the disadvantages of conventional spectral techniques in processing instantaneous turbine signals. In this paper a new c...