Probe Waveforms and Deconvolution in the Experimental Determination of Elastic Green's Functions
We propose a new time domain method for the experimental determination of the "impulse response" of linear systems. The technique centers around the use of specifically designed probe waveforms. These waveforms are particular C∞ approximations to the Dirac δ-function and the Heaviside unit...
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| Veröffentlicht in: | SIAM journal on applied mathematics 1985-06, Vol.45 (3), p.369-382 |
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| container_end_page | 382 |
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| container_title | SIAM journal on applied mathematics |
| container_volume | 45 |
| creator | Carasso, Alfred S. Hsu, Nelson N. |
| description | We propose a new time domain method for the experimental determination of the "impulse response" of linear systems. The technique centers around the use of specifically designed probe waveforms. These waveforms are particular C∞ approximations to the Dirac δ-function and the Heaviside unit step function, and lead to a subsequent time domain deconvolution problem which can be implemented as a Cauchy initial value problem. This approach allows for continuous deconvolution, a powerful option in the presence of noise. We orient the discussion to the context of acoustic emission and elastic Green's functions, and present several numerical reconstructions of sharp signals from smooth synthetic data. |
| doi_str_mv | 10.1137/0145021 |
| format | Article |
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| ispartof | SIAM journal on applied mathematics, 1985-06, Vol.45 (3), p.369-382 |
| issn | 0036-1399 1095-712X |
| language | eng |
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| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; LOCUS - SIAM's Online Journal Archive |
| subjects | A priori knowledge Acoustic emission Approximation Cauchy problem Conductive heat transfer Exact sciences and technology Function theory, analysis Greens function Heat transfer Integral equations Laplace transforms Mathematical methods in physics Partial differential equations Physics Signal noise Time dependence Waveforms |
| title | Probe Waveforms and Deconvolution in the Experimental Determination of Elastic Green's Functions |
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