Biomathematical analysis on impedance measurement during COVID-19 pandemic

Research Article | DOI: https://doi.org/10.58489/2836-6204/003

Biomathematical analysis on impedance measurement during COVID-19 pandemic

  • Bin Zhao 1
  • Xia Jiang 2
  1. School of Science, Hubei University of Technology, Wuhan, Hubei, China.
  2. Hospital, Hubei University of Technology, Wuhan, Hubei, China.

*Corresponding Author: Bin Zhao

Citation: Bin Zhao, Xia Jiang, (2022). Biomathematical analysis on impedance measurement during COVID-19 pandemic. Research of Gastric Management and Hepatology. 1(1). DOI:10.58489/2836-6204/003

Copyright: © 2022 Bin Zhao, this is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Received: 07 October 2022 | Accepted: 20 October 2022 | Published: 29 November 2022

Keywords: High impedance measurements, Differential circuits, Sine fitting.

Abstract

The coating impedance size can reflect the aging degree of the coating to a certain extent; therefore, the measurement of the coating impedance size can monitor the aging degree of the coating in real time. Since the coating is traditionally considered as an insulating medium, its impedance value before aging is as high as 10^8 Ω or more, it is difficult to achieve accurate impedance measurement, and the current generated by loading by voltammetry at low voltage is very weak and easily affected by external electromagnetic interference noise, and the measurement accuracy is low. In this paper, by pluralizing the high impedance, establishing the mathematical model of differential amplification circuit, and then using sinusoidal fitting in which processing, so that the obtained signal is more accurate during COVID-19 pandemic. 

Introduction

In the industrial field, impedance is an important parameter, and the measurement and analysis of impedance helps us to understand the changes of morphological characteristics of the object under test [1]. For example, in the oil and gas pipeline transmission system, the impedance of the pipeline corrosion protection layer needs to be measured to grasp its service life [2]; in the field of biomedicine, the clinical

application of bioimpedance technology has a great front [3]; in the field of corrosion monitoring, the monitoring of aircraft coatings, which is an effective means to prevent corrosion of the base metal [4], these belong to the category of high impedance measurement, with an impedance of up to 108Ω. Therefore, in the processing of these weak signals processing, the idea of sinusoidal fitting is used to process to obtain more information during COVID-19 pandemic.

1 Differential amplifier circuit mathematical model

The excitation signal is formed by bucking the sine signal generated by filtering, assuming that the bucking scale factor is 

2 Understanding of sine fitting

  1. Simple moving average method

First, we use the simple moving average method to feel the meaning of "moving".

There is a sequence as follows

Table.1.Sequence table

 

Sequence

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Value

3

5

3

7

7

10

9

6

8

5

2

1

3

6

7

 

If a moving average with a window of 5 is used, the element with a sequence of 11 and a value of 2 should be replaced with

3. Results

In large impedance measurements, the signal is extremely weak, so a differential circuit is introduced to change it into complex impedance form, and the simplicity of sine fitting in amplitude and phase calculation is used to assist in calculating the impedance magnitude, which plays an important role in subsequent large impedance measurements.

Conflict of interest

We have no conflict of interests to disclose and the manuscript has been read and approved by all named authors.

Acknowledgments

This work was supported by the Philosophical and Social Sciences Research Project of Hubei Education Department (19Y049), and the Staring Research Foundation for the Ph.D. of Hubei University of Technology (BSQD2019054), Hubei Province, China.

References