Manufacturing of smart sensors
95
PAIDEIA XXI
In the equation (24) it is continued
the derivative analysis, but it is re-
placed the error “e” by the difference
among the desired signal “D” with the
estimated signal “XW” that has the de-
pendence on the internal variable “X”
with the weight matrix “W” (Calderón
et al., 2019, 2022).
(11)
(17)
Finally, it is possible to achieve
the recursive equation known as LMS
algorithm by the equation (25), in
which the adjusted coefcient “
µ
” is a
function of the previous coefcient
σ
(Calderón et al., 2019, 2022).
(11)
(17)
Moreover, the adapted response
by LMS is given by the equation (26)
(Calderón et al. 2019, 2022).
(11)
(17)
Indeed, the manufacturing of smart
sensors based in nanostructures
needs a good understanding of the
requirements of the target sensor
to elaborate, such as for example
to know, what physical variable will
measure the designed sensor or what
material and geometry to use in the
sample transducers of the designed
sensor. Also to know, whether the
laboratory is localized near a mining
according to provide some minerals
that can be useful for the transducer
composition to elaborate. As well as
to know the geographic and climate
conditions of the place, where is
localized the laboratory, because of
to know what external disturbances
could be possible to appear during
the measurements and where to
store the residuals components that
were achieved during the sensors
elaboration in order to care the
environment condition by caring
the residual components evacuation
after the reactions of the sensors
manufacturing, that means the
result of all the elaboration process
of smart sensors that were based in
nanostructures.
The paragraph above is depicted by
the two blue arrows in the entrance
and exit of the back square in the
gure 4. Otherwise, the two red
arrows at the entrance and exit of
the blue box inside the back square
represent the measured data and
the adaptive/ltered/estimated data
that were achieved by the designed
smart sensor. Inside the blue box is
depicted the procedure that made
by the microcontroller according to
process the information from the
transducers that are in interaction
with the target to measure its physical
variables (contact measurement).
Either, another option to measure is
given through the non-contact with
the target to measure because of there
is an electromagnetic wave to get the