2018
DOI: 10.1177/1475921718776200
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Adaptive wavelet transform: Definition, parameter optimization algorithms, and application for concrete delamination detection from impact echo responses

Abstract: In this study, an amplitude-adaptive wavelet transform is proposed and defined as an average of overlapped short-time wavelet transforms with optimized time-varying resolution in a time-frequency domain of interest. A flowchart of two optimization algorithms for time and frequency resolution updating is proposed and developed to determine the wavelet parameters for a desirable time-frequency representation of dynamic responses. Numerical example with two closely spaced, frequency-modulated sinusoids and two cl… Show more

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Cited by 11 publications
(1 citation statement)
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“…Inspired by this idea of parameterized TFA, adaptive multiple second-order synchrosqueezing wavelet transform (AMWSST2) is brought up in this paper. Adaptive wavelet transform (AWT) algorithm based on CWT introduces the concept of short-time windows [25]. In each of them, the center frequency and scale factor controlling the WT can realize adaptive transformation of the signal by determining the window width at the local optimal TF resolution.…”
Section: Introductionmentioning
confidence: 99%
“…Inspired by this idea of parameterized TFA, adaptive multiple second-order synchrosqueezing wavelet transform (AMWSST2) is brought up in this paper. Adaptive wavelet transform (AWT) algorithm based on CWT introduces the concept of short-time windows [25]. In each of them, the center frequency and scale factor controlling the WT can realize adaptive transformation of the signal by determining the window width at the local optimal TF resolution.…”
Section: Introductionmentioning
confidence: 99%