Educational Usage of the Delta Functions as Possible Software Model and Piezoelectric Sensors to Measure Fast Signal in Cracks
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Date
2018-09
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Publisher
LACCEI Inc.
Abstract
We review the importance of using a Delta function
which can be used as a tool to model instantaneous response
signals such as the identification of cracks in piezoelectric materials.
We claim that these functions can be part of an interface
software-hardware aimed to identify anomalies in large pipes
from the fact that the Delta functions under a convolution mechanism
having as output a degraded signal that differs notably
from the input.A possible application of this formalism would
that of the design of algorithms for identifying and measuring
cracks properties in metallic pipes by using piezoelectric sensors.
We found that the usage of the Delta function would be useful to
reconstruct a spectrum indicating the possible locations of cracks
within certain range of systematic error. This methodology might
also be exploited in the analysis of super fast signals which need
to be measure with acceptable resolutions.
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Keywords
System identification, Modeling System, Dirac Delta