2017
DOI: 10.1088/1361-6501/aa52ae
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An adaptive sparse deconvolution method for distinguishing the overlapping echoes of ultrasonic guided waves for pipeline crack inspection

Abstract: In guided wave pipeline inspection, echoes reflected from closely spaced reflectors generally overlap, meaning useful information is lost. To solve the overlapping problem, sparse deconvolution methods have been developed in the past decade. However, conventional sparse deconvolution methods have limitations in handling guided wave signals, because the input signal is directly used as the prototype of the convolution matrix, without considering the waveform change caused by the dispersion properties of the gui… Show more

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Cited by 49 publications
(34 citation statements)
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“…In this paper, the split augmented Lagrangian shrinkage (SALSA) [55] method is used to solve the nonconvex WATV denoising problem. The good convergence of SALSA has been proven in practice [42], [55]. With variable splitting, problem (10) can be transformed into the constrained optimization problem min a,c…”
Section: Salsa Algorithm For Nonconvex Watvmentioning
confidence: 99%
See 1 more Smart Citation
“…In this paper, the split augmented Lagrangian shrinkage (SALSA) [55] method is used to solve the nonconvex WATV denoising problem. The good convergence of SALSA has been proven in practice [42], [55]. With variable splitting, problem (10) can be transformed into the constrained optimization problem min a,c…”
Section: Salsa Algorithm For Nonconvex Watvmentioning
confidence: 99%
“…In this case, the penalty function is defined to measure the number of nonzero values in x, i.e., φ (x) = x 0 where x 0 is the l 0 -norm and defined as x 0 = N n=1 |x n | 0 . Unfortunately, with φ (x) defined as such, the regularization problem in (5) is an NP-hard problem for which the objective function F (x) cannot readily to minimize [42], [43]. Therefore, it is common to replace the l 0 -norm by the l 1 -norm as the penalty function in practical applications, because it induces sparsity most effectively and does not sacrifice the convexity of the objective function.…”
Section: B Total Variation Denoisingmentioning
confidence: 99%
“…Existing techniques for crack detection rely on the visual analysis of the analysed segment [10], the implementation of eddy current [11], in the case of metallic structures, or ultrasonic techniques [12]. Chen et al [13] propose a fusion between a convolutional neural network and a Naive Bayes to analyse video frames for crack detection in nuclear reactors.…”
Section: Introductionmentioning
confidence: 99%
“…CS had the potential as the alternative to data compression and it had been investigated for accelerometer signals and structural response signals [19]- [21]. Because guided wave could be modeled as the convolution of incident signal and reflection sequence, an adaptive sparse deconvolution method was proposed to distinguish overlapped wavepackets [22]. However, the recovery or reconstruction attracts more attention in guided wave field.…”
Section: Introductionmentioning
confidence: 99%