<b>WAVELET DISPLAY OF DISPERSION IN CONCRETE USING PAUL AND MORLET WAVELETS</b>

Peterson, Michael; Srinath, S.; Lambert, T.W; Woodham, D.; Schüller, Martina

doi:10.1080/10589759908952870

Cited by 3 publications

(4 citation statements)

References 5 publications

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“…After the 1D Paul WT is applied to the time intensity signal, the wrapped phase can be obtained from the wavelet coefficients by Eq. (11). For comparison, the FT is applied to the signal shown in Fig.…”

Section: Experiments and Discussionmentioning

confidence: 99%

“…A commonly used wavelet is Morlet wavelet, which has the limited parameter by the admissibility conditions and has been used in the shadow moiré technique to extract the phase in the temporal domain [6]. Unlike the Morlet wavelet, Paul wavelet has few restrictions on the adjustment of wavelet parameters and can provide an optimal compromise between time and frequency resolution for a particular application with the properly selected parameters [11]. In this paper, Paul wavelet is selected to extract the phase from the temporal domain.…”

Section: Introductionmentioning

confidence: 99%

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Temporal Paul wavelet analysis for phase retrieval using shadow moire technique

2008

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Temporal Paul wavelet analysis for instantaneous phase extraction using shadow moiré technique is proposed. Unlike the Morlet wavelet, the Paul wavelet has less restriction on the adjustment of wavelet parameters and can provide an optimal time and frequency resolution for a particular application by selecting the proper parameters. The Paul wavelet is a complex wavelet and is suitable for processing the temporal intensity data obtained from the shadow moiré technique for the phase retrieval. The proposed method can extract the phase information related to the state of the dynamic object at every instant in temporal domain. The phase information is associated to the displacement, three-dimensional (3D) surface-profile and the instantaneous state of the dynamic object. In addition, the instantaneous frequency of vibrating object can be obtained using the scale of the wavelet ridge by direct integration without temporal and spatial phase unwrapping. Thus the phase unwrapping error can be avoided. An experiment is conducted on the central loaded beam to demonstrate the validity of the proposed technique.

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Section: Experiments and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Temporal Paul wavelet analysis for phase retrieval using shadow moire technique

2008

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“…Such techniques also are well-known in radar processing, but to our knowledge they have not been applied to problems such as the ultrasonic air-coupled testing of highly scattering media such as concrete, in which SNRs before processing are likely to be very low. This type of analysis is used here to provide SNR improvements, but it could be used for frequency tracking if required (e.g., as in the dispersion studies above [22]). …”

Section: Introductionmentioning

confidence: 98%

“…In addition, they could be used to gain extra information concerning the material being tested. For instance, Peterson et al [22] demonstrated that wavelet analysis could be used to study dispersion in concrete using such methods, and Prosser and Seale [23] used the approach to investigate Lamb wave dispersion. Such techniques also are well-known in radar processing, but to our knowledge they have not been applied to problems such as the ultrasonic air-coupled testing of highly scattering media such as concrete, in which SNRs before processing are likely to be very low.…”

Section: Introductionmentioning

confidence: 99%

The application of time-frequency analysis to the air-coupled ultrasonic testing of concrete

Berriman

Hutchins

Neild

et al. 2006

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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Air-coupled ultrasound has been used for the nondestructive evaluation of concrete, using broad bandwidth electrostatic transducers and chirp excitation. This paper investigates the benefits of using time-frequency analysis in such situations, for both waveform retrieval and imaging in the presence of low signal levels. The use of the short-term Fourier transform, the Wavelet transform, and the Wigner-Ville distribution all are considered, in which accurate tracking of the ultrasonic chirp signals is demonstrated. The Hough transform then is applied as a filter. An image of a steel reinforcement bar in concrete has been produced to illustrate this approach.

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<title>Structural health monitoring using active sensors and wavelet transforms</title>

1999

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Health monitoring methods using active sensors (e.g. piezoelectric transducers) and wavelet transforms are being developed in the Department of Mechanical Engineering at the University of South Carolina. In these methods, wave propagation signals are collected using arrays of piezoelectric transducers placed on or embedded in a structure. The collected signals are analyzed using appropriate wavelet transforms. The final interpretation of the sensor signals is based on signal pattems uncovered by the wavelet transforms in correlation with elastic-wave propagation theory. A number of specimens have been instrumented and tested, which include simple steel beams and actual composite aircraft panels. Impact tests simulating low velocity impact by foreign-object have been conducted and will be used to illustrate the wavelet-based methods.

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WAVELET DISPLAY OF DISPERSION IN CONCRETE USING PAUL AND MORLET WAVELETS

Cited by 3 publications

References 5 publications

Temporal Paul wavelet analysis for phase retrieval using shadow moire technique

Temporal Paul wavelet analysis for phase retrieval using shadow moire technique

The application of time-frequency analysis to the air-coupled ultrasonic testing of concrete

<title>Structural health monitoring using active sensors and wavelet transforms</title>

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