Preprocessing of Coefficients for Reusable Continuous Wavelet Transform

Abstract:

The division into two stages of the Continuous Wavelet Transform (CWT) computing is proposed. This is expedient in circumstances when CWT is repeated many times, e.g., for online detection of nonstationary signal singularities. It is shown that the preprocessing of wavelet coefficients in the first stage can significantly reduce computing time required in the second stage. The comparative estimation of the runtime reduction in the second stage of CWT calculation is deduced.

• Periodical: Advanced Materials Research (Volume 1040)
• Pages: 975-979
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1040.975
• Online since: September 2014
• Authors: Alexander A. Khamukhin*, Alexey A. Khamukhin
• Keywords: Analysis, Continuous Wavelet Transform, CWT, Nonstationary Signal, Preprocess, Wavelet Coefficient

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