Location

Santa Cruz, CA

Start Date

1-1-1984 12:00 AM

Description

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. We present a technique here 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.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

3A

Chapter

Chapter 2: Ultrasonics

Section

Signal Processing

Pages

359-371

DOI

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

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Polynomial Extrapolation Toward Low Frequencies of the Spectrum of Gated Ultrasonic Echoes for Deconvolution: Application to Defects in Solids

Santa Cruz, CA

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. We present a technique here 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.