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Deconvolution as a technique to improve measurement-system data integrity

The application of time-domain deconvolution techniques to recorded signals can significantly improve data intergrity by reducing distortion attibutable to limitations in the measurement-systm frequency-response function

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Abstract

Measurement is defined as the determination of a system input based on a knowledge of the system output and a characterization of the sytem. The frequency-response function of a measurement system can be defined as the rati of the Fourier transform of the system output to the Fourier transform of the system input which causes that output. This paper deals with the application of time-domain deconvoltuuion techniques to reduce signal distortion attributable to liminations in the measurement-system frequency-response function. The generality of time-domain deconvolution is increased by extending its application to ban-pass, band-reject and low-pass systems in addition to high-pass system. A procedure is described to verity the adequacy of the system characterization used in time-doman deconvolutuion, and application examples are provided.

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Abbreviations

f(t) :

arbitrary time function

F(s) :

Laplace transform off(t)

g(t) :

system indicial response [tou(t)]

h(t) :

system impulse response [to δ(t)]

H(s) :

system transfer function [Laplace transform ofh(t)]

H(jw) :

system frequency-response function [Fourier transform ofh(t)]

i(t) :

system input

I(s) :

Laplace transform ofi(t)

I(jω) :

Fourier transform ofi(t)

j :

square root of −1

k :

a positive integer

o(t) :

system output

O(s) :

Laplace transform ofo(t)

O(jω) :

Fourier transform ofo(t)

s :

complex variable =ϱ+jω

s(t) :

system characteristic

t :

time

T :

sample in terval

u(t) :

unit-step function

α:

number on reals axis

β:

number on reals axis

δ(t):

unit impulse or Dirac delta function

ϱ:

real variable ins-plane

τ:

time-delay variable

ω:

angular frequency (imaginary variable ins-plane)

References

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Authors and Affiliations

  1. Sandia National Laboratories, 87185, Albuquerque, NM

    Partrick L. Walter (Staff member)

Authors
  1. Partrick L. Walter
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Additional information

This work was supported by the Department of Energy.

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Walter, P.L. Deconvolution as a technique to improve measurement-system data integrity. Experimental Mechanics 21, 309–314 (1981). https://doi.org/10.1007/BF02325771

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  • DOI: https://doi.org/10.1007/BF02325771

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