POLYNOMIAL EXTRAPOLATION TOWARD LOW FREQUENCIES OF THE SPECTRUM OF GATED ULTRASONIC ECHOES FOR DECONVOLUTION: APPLICATION TO DEFECTS IN SOLIDS.

F. Cohen-Tenoudji, Y. Pralus, A. Lambert, G. Quentin, B. R. Tittmann

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

In order to get a correct evaluation of the response function of a scatterer in the time domain, a deconvolution operation is necessary. This operation is made difficult by the absence of information at low frequencies. A technique is presented whose purpose is the reconstruction of the low frequency part by extrapolation. Practically, the spectrum is sampled at given points and a polynomial passing by the same points is constructed. The samples in the unknown part are determined by trying different values and looking for a minimum distance between the actual spectrum and the approximating polynomial. Numerical results and an actual ultrasonic signal are presented.

Original languageEnglish (US)
Title of host publicationReview of Progress in Quantitative Nondestructive Evaluation
EditorsDonald O. Thompson, Dale E. Chimenti
PublisherPlenum Press
Pages359-371
Number of pages13
ISBN (Print)0306416786
Publication statusPublished - Dec 1 1984

Publication series

NameReview of Progress in Quantitative Nondestructive Evaluation
Volume3 A

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All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Cohen-Tenoudji, F., Pralus, Y., Lambert, A., Quentin, G., & Tittmann, B. R. (1984). POLYNOMIAL EXTRAPOLATION TOWARD LOW FREQUENCIES OF THE SPECTRUM OF GATED ULTRASONIC ECHOES FOR DECONVOLUTION: APPLICATION TO DEFECTS IN SOLIDS. In D. O. Thompson, & D. E. Chimenti (Eds.), Review of Progress in Quantitative Nondestructive Evaluation (pp. 359-371). (Review of Progress in Quantitative Nondestructive Evaluation; Vol. 3 A). Plenum Press.