NARX neural network model for strong resolution improvement in a distributed temperature sensor

Luís Cicero Bezerra da Silva; Jorge Leonid Aching Samatelo; Marcelo Eduardo Vieira Segatto; João Paulo Bazzo; Jean Carlos Cardozo da Silva; Cicero Martelli; Maria José Pontes

doi:10.1364/AO.57.005859

Applied Optics
Vol. 57,
Issue 20,
pp. 5859-5864
(2018)
•https://doi.org/10.1364/AO.57.005859

NARX neural network model for strong resolution improvement in a distributed temperature sensor

Luís Cicero Bezerra da Silva, Jorge Leonid Aching Samatelo, Marcelo Eduardo Vieira Segatto, João Paulo Bazzo, Jean Carlos Cardozo da Silva, Cicero Martelli, and Maria José Pontes

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Luís Cicero Bezerra da Silva, Jorge Leonid Aching Samatelo, Marcelo Eduardo Vieira Segatto, João Paulo Bazzo, Jean Carlos Cardozo da Silva, Cicero Martelli, and Maria José Pontes, "NARX neural network model for strong resolution improvement in a distributed temperature sensor," Appl. Opt. 57, 5859-5864 (2018)

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Abstract

This paper proposes an approach to process the response of a distributed temperature sensor using a nonlinear autoregressive with external input neural network. The developed model is composed of three steps: extraction of characteristics, regression, and reconstruction of the signal. Such an approach is robust because it does not require knowledge of the characteristics of the signal; it has a reduction of data to be processed, resulting in a low processing time, besides the simultaneous improvement of spatial resolution and temperature. We obtain total correction of the temperature resolution and spatial resolution of 5 cm of the sensor.

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18 July 2018: Corrections were made to the OCIS codes.

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$W_{dts}$	$H_{dts}$	$B_{dts}$	$W_{ref}$	$H_{ref}$	$B_{ref}$
$W_{dts, 1}$	$H_{dts, 1}$	$B_{dts, 1}$	$W_{ref, 1}$	$H_{ref, 1}$	$B_{ref, 1}$
$W_{dts, 2}$	$H_{dts, 2}$	$B_{dts, 2}$	$W_{ref, 2}$	$H_{ref, 2}$	$B_{ref, 2}$
$⋮$	$⋮$	$⋮$	$⋮$	$⋮$	$⋮$
$W_{dts, 44}$	$H_{dts, 44}$	$B_{dts, 44}$	$W_{ref, 44}$	$H_{ref, 44}$	$B_{ref, 44}$

Size Hot Spot	${Error}_{1}$ ^a	${Error}_{2}$ ^b	${Error}_{3}$ ^c
5 cm	0.983	25.20°C	$4.553 \times 10^{- 7}$
10 cm	0.943	24.00°C	$6.806 \times 10^{- 7}$
15 cm	0.857	21.60°C	$6.124 \times 10^{- 7}$
20 cm	0.802	20.20°C	$1.623 \times 10^{- 6}$
25 cm	0.754	18.20°C	$1.026 \times 10^{- 6}$
30 cm	0.705	16.50°C	$2.871 \times 10^{- 7}$
35 cm	0.654	14.90°C	$5.401 \times 10^{- 7}$
40 cm	0.622	14.10°C	$1.193 \times 10^{- 4}$
45 cm	0.610	12.40°C	$1.122 \times 10^{- 4}$
50 cm	0.616	11.60°C	$1.512 \times 10^{- 6}$

$W_{dts}$	$H_{dts}$	$B_{dts}$	$W_{ref}$	$H_{ref}$	$B_{ref}$
$W_{dts, 1}$	$H_{dts, 1}$	$B_{dts, 1}$	$W_{ref, 1}$	$H_{ref, 1}$	$B_{ref, 1}$
$W_{dts, 2}$	$H_{dts, 2}$	$B_{dts, 2}$	$W_{ref, 2}$	$H_{ref, 2}$	$B_{ref, 2}$
$⋮$	$⋮$	$⋮$	$⋮$	$⋮$	$⋮$
$W_{dts, 44}$	$H_{dts, 44}$	$B_{dts, 44}$	$W_{ref, 44}$	$H_{ref, 44}$	$B_{ref, 44}$

Size Hot Spot	${Error}_{1}$ ^a	${Error}_{2}$ ^b	${Error}_{3}$ ^c
5 cm	0.983	25.20°C	$4.553 \times 10^{- 7}$
10 cm	0.943	24.00°C	$6.806 \times 10^{- 7}$
15 cm	0.857	21.60°C	$6.124 \times 10^{- 7}$
20 cm	0.802	20.20°C	$1.623 \times 10^{- 6}$
25 cm	0.754	18.20°C	$1.026 \times 10^{- 6}$
30 cm	0.705	16.50°C	$2.871 \times 10^{- 7}$
35 cm	0.654	14.90°C	$5.401 \times 10^{- 7}$
40 cm	0.622	14.10°C	$1.193 \times 10^{- 4}$
45 cm	0.610	12.40°C	$1.122 \times 10^{- 4}$
50 cm	0.616	11.60°C	$1.512 \times 10^{- 6}$

Luís Cicero Bezerra da Silva	https://orcid.org/0000-0002-5259-9380
Marcelo Eduardo Vieira Segatto	https://orcid.org/0000-0003-4083-992X
Jean Carlos Cardozo da Silva	https://orcid.org/0000-0003-2310-9159
Maria José Pontes	https://orcid.org/0000-0002-9009-2425

Abstract

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Figures (6)

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Equations (4)

Applied Optics