DARI ANALISIS FOURIER KE ANALISIS WAVELET (From Fourier Analysis to Wavelet Analysis)

Isogeometric analysis: vibration analysis, Fourier and wavelet spectra

This paper presents the Fourier and wavelet characterization of vibratio...

Fourier Analysis and Wavelet Analysis

658 NOTICES OF THE AMS VOLUME 44, NUMBER 6 I n this article we will compare the classical methods of Fourier analysis with the newer methods of wavelet analysis. Given a signal, say a sound or an image, Fourier analysis easily calculates the frequencies and the amplitudes of those frequencies which make up the signal. This provides a broad overview of the characteristics of the signal, which is...

From Fourier to Wavelet Analysis of Time Series

Wavelet-Fourier analysis of electric signal disturbances

The Fourier transform usually has been used in the past for analysis of stationary and periodic signals. Its interest is the knowledge of spectral components existing in a waveform; it doesn't matter the moment where they happen. However, when the time localization of the spectral components is needed, the Wavelet Transform (WT) can be used to obtain the optimal timefrequency representation of ...

Wavelet Spectra compared to Fourier

The relation between Fourier spectra and spectra obtained from wavelet analysis is established. Small scale asymptotic analysis shows that the wavelet spectrum is meaningful only when the analysing wavelet has enough vanishing moments. We relate these results to regularity theorems in Besov spaces. For the analysis of innnitly regular signals, a new wavelet, with innnit number of cancellations ...