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...

Full description

Saved in:
Bibliographic Details
Published in:SIAM journal on applied mathematics 1985-06, Vol.45 (3), p.369-382
Main Authors: Carasso, Alfred S., Hsu, Nelson N.
Format: Article
Language:English
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
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0036-1399
1095-712X
DOI:10.1137/0145021