2023
DOI: 10.1016/j.istruc.2023.105019
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Damage detection of structures based on wavelet analysis using improved AlexNet

Hessam Amanollah,
Arghavan Asghari,
Mohammadreza Mashayekhi
et al.
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Cited by 18 publications
(4 citation statements)
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“…Meanwhile, WSE, derived from wavelet singular values, quantifies signal complexity [26,32]. CWT is mathematically expressed as in Equation ( 2), with coefficients indicating the wavelet's scale and position represented in Equation (3) [35]:…”
Section: Time-frequency Domain Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…Meanwhile, WSE, derived from wavelet singular values, quantifies signal complexity [26,32]. CWT is mathematically expressed as in Equation ( 2), with coefficients indicating the wavelet's scale and position represented in Equation (3) [35]:…”
Section: Time-frequency Domain Analysismentioning
confidence: 99%
“…The function φ reptresents the scaled and translated versions of the mother wavelet. Different mother wavelets yield distinct wavelet coefficients, highlighting varied facets of the signal [35].…”
Section: Time-frequency Domain Analysismentioning
confidence: 99%
“…Here, 𝑊𝑇 𝑓 (𝑎, 𝜏) denotes the wavelet coefficient at a specific scale, 𝑎, and position, τ. The term 𝑎 is the scaling factor that instead stretches or compresses the wavelet, while τ is the translation factor that shifts the wavelet along the signal's time axis [36]. The function 𝜑 reptresents the scaled and translated versions of the mother wavelet.…”
Section: Continuous Wavelet Transform (Cwt)mentioning
confidence: 99%
“…, acting as foundational waveforms underpinning the wavelet transform. These mother wavelets outline the fundamental shape and attributes of the wavelet that undergoes scaling and translation for signal analysis, as depicted in Equation 4, and CWT is presented in Equation 5 [36]:…”
Section: Continuous Wavelet Transform (Cwt)mentioning
confidence: 99%