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

doi:10.1007/978-1-4684-1194-2_34

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

Engineering Science and Mechanics

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Review of Progress in Quantitative Nondestructive Evaluation
Publisher	Plenum Press
Pages	359-371
Number of pages	13
ISBN (Print)	0306416786, 9780306416781
DOIs	https://doi.org/10.1007/978-1-4684-1194-2_34
State	Published - 1984

Publication series

Name	Review of Progress in Quantitative Nondestructive Evaluation
Volume	3 A

All Science Journal Classification (ASJC) codes

General Engineering

Access to Document

10.1007/978-1-4684-1194-2_34

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 Review of Progress in Quantitative Nondestructive Evaluation (pp. 359-371). (Review of Progress in Quantitative Nondestructive Evaluation; Vol. 3 A). Plenum Press. https://doi.org/10.1007/978-1-4684-1194-2_34

@inproceedings{2f8ba20440684d01a12143c61d84648b,

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

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.",

author = "F. Cohen-Tenoudji and Y. Pralus and A. Lambert and G. Quentin and Tittmann, {B. R.}",

year = "1984",

doi = "10.1007/978-1-4684-1194-2_34",

language = "English (US)",

isbn = "0306416786",

series = "Review of Progress in Quantitative Nondestructive Evaluation",

publisher = "Plenum Press",

pages = "359--371",

booktitle = "Review of Progress in Quantitative Nondestructive Evaluation",

}

Cohen-Tenoudji, F, Pralus, Y, Lambert, A, Quentin, G & Tittmann, BR 1984, POLYNOMIAL EXTRAPOLATION TOWARD LOW FREQUENCIES OF THE SPECTRUM OF GATED ULTRASONIC ECHOES FOR DECONVOLUTION: APPLICATION TO DEFECTS IN SOLIDS. in Review of Progress in Quantitative Nondestructive Evaluation. Review of Progress in Quantitative Nondestructive Evaluation, vol. 3 A, Plenum Press, pp. 359-371. https://doi.org/10.1007/978-1-4684-1194-2_34

POLYNOMIAL EXTRAPOLATION TOWARD LOW FREQUENCIES OF THE SPECTRUM OF GATED ULTRASONIC ECHOES FOR DECONVOLUTION: APPLICATION TO DEFECTS IN SOLIDS. / Cohen-Tenoudji, F.; Pralus, Y.; Lambert, A. et al.
Review of Progress in Quantitative Nondestructive Evaluation. Plenum Press, 1984. p. 359-371 (Review of Progress in Quantitative Nondestructive Evaluation; Vol. 3 A).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - POLYNOMIAL EXTRAPOLATION TOWARD LOW FREQUENCIES OF THE SPECTRUM OF GATED ULTRASONIC ECHOES FOR DECONVOLUTION

T2 - APPLICATION TO DEFECTS IN SOLIDS.

AU - Cohen-Tenoudji, F.

AU - Pralus, Y.

AU - Lambert, A.

AU - Quentin, G.

AU - Tittmann, B. R.

PY - 1984

Y1 - 1984

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0021607561&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021607561&partnerID=8YFLogxK

U2 - 10.1007/978-1-4684-1194-2_34

DO - 10.1007/978-1-4684-1194-2_34

M3 - Conference contribution

AN - SCOPUS:0021607561

SN - 0306416786

SN - 9780306416781

T3 - Review of Progress in Quantitative Nondestructive Evaluation

SP - 359

EP - 371

BT - Review of Progress in Quantitative Nondestructive Evaluation

PB - Plenum Press

ER -

Cohen-Tenoudji F, Pralus Y, Lambert A, Quentin G, Tittmann BR. POLYNOMIAL EXTRAPOLATION TOWARD LOW FREQUENCIES OF THE SPECTRUM OF GATED ULTRASONIC ECHOES FOR DECONVOLUTION: APPLICATION TO DEFECTS IN SOLIDS. In Review of Progress in Quantitative Nondestructive Evaluation. Plenum Press. 1984. p. 359-371. (Review of Progress in Quantitative Nondestructive Evaluation). doi: 10.1007/978-1-4684-1194-2_34

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

Abstract

Publication series

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this