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2002•Engineering MechanicsRequires access

FAST ALGORITHM FOR WAVELET TRANSFORM ADAPTIVE TO THE ANALYSIS OF SIGNALS IN EARTHQUAKE ENGINEERING

Hui Cao

Open publisher page 3 citations

Abstract

In this paper, characteristics of the available algorithms for wavelet transform, indirect wavelet transform and direct wavelet transform, are briefly reviewed. It is pointed out that the available algorithms cannot fulfill efficiently the analysis of signals in earthquake engineering. On the basis of direct wavelet transform, an enhanced algorithm for wavelet transform is put forward. The algorithm is developed with the advantages of FFT and the characteristics of tight support in frequency domain of wavelet. It is shown that the algorithm exhibits high precision and good efficiency and meets the requirements of the signal analysis in earthquake engineering.

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What this paper is about

In this paper, characteristics of the available algorithms for wavelet transform, indirect wavelet transform and direct wavelet transform, are briefly reviewed. It is pointed out that the available algorithms cannot fulfill efficiently the analysis of signals in earthquake engineering. On the basis of direct wavelet transform, an enhanced algorithm for wavelet transform is put forward. The algorithm is developed with the advantages of FFT and the characteristics of tight support in frequency domain of wavelet. It is shown that the algorithm exhibits high precision and good efficiency and meets the requirements of the signal analysis in earthquake engineering.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, characteristics of the available algorithms for wavelet transform, indirect wavelet transform and direct wavelet transform, are briefly reviewed. It is pointed out that the available algorithms cannot fulfill efficiently the analysis of signals in earthquake engineering. On the basis of direct wavelet transform, an enhanced algorithm for wavelet transform is put forward. The algorithm is developed with the advantages of FFT and the characteristics of tight support in frequency domain of wavelet. It is shown that the algorithm exhibits high precision and good efficiency and meets the requirements of the signal analysis in earthquake engineering.

Key concepts: Second-generation wavelet transform, Wavelet transform, Wavelet, Wavelet packet decomposition, Stationary wavelet transform, Harmonic wavelet transform, Algorithm, Discrete wavelet transform

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FAST ALGORITHM FOR WAVELET TRANSFORM ADAPTIVE TO THE ANALYSIS OF SIGNALS IN EARTHQUAKE ENGINEERING — Research Paper | ScholarLens