REDUCTION OF GIBBS PHENOMENON IN EOG SIGNAL MEASUREMENT USING THE MODIFIED DIGITAL STOCHASTIC MEASUREMENT METHOD

Jelena Đorđevic Kozarov, Milan Simić, Milica Stojanović, Dragan Živanović

DOI Number
https://doi.org/10.22190/FUACR231102007D
First page
087
Last page
101

Abstract


The method of digital stochastic measurement is based on stochastic analog-to-digital conversion, with a low-resolution A/D converters and accumulation. This method has been mainly tested and used for the measurement of stationary signals. This paper presents, analyses and discusses a simulation model development for an example of electrooculography (EOG) signal measurement in the time domain. Tests were carried out without adding a noise, and with adding a noise with various level of signal-to-noise ratio. For these values of signal-to-noise ratio, the mean and maximal relative errors are calculated and the significant influence of Gibbs phenomenon is noticed. In order to eliminate Gibbs phenomenon and decrease measurement error, a modified stochastic digital measurement method with overlapping measurement intervals has been developed and applied. On the basis of obtained results, the possibility of design and realization of an instrument with sufficient accuracy benefiting from the hardware simplicity of the method has been formulated. Also, the idea for the future research for developing a simulation model with a lower sampling frequency and implementing the proposed method is outlined.

Keywords

Digital stochastic measurement, electrooculography, Gibbs phenomenon, signal processing, simulation model

Full Text:

PDF

References


von Neumann, J. Probabilistic logic and the synthesis of reliable organisms from unreliable components. // Automata Studies / Shannon, C., McCarthy, J. (eds.). Princeton : University Press, 1956. pp. 43-98.

Wagdy, M. F.; Ng, W. Validity of uniform quantization error model for sinusoidal signals without and with dither. // IEEE Transactions on Instrumentation & Measurement, 38, 3(1989), pp. 718-722.

Kamenský, M.; Kováč, K. Correction of ADC errors by additive iterative method with dithering. // Measurement Science Review, 11, 1(2011), pp. 15-18.

Vujičić, V.; Milovančev, S.; Pešaljević, M.; Pejić, D.; Župunski, I. Low frequency stochastic true RMS instrument. // IEEE Transaction on Instrumentation & Measurement, 48, 2(1999), pp. 467–470.

Pejic, D.; Vujicic, V. Accuracy limit of high-precision stochastic Watt-hour meter // IEEE Transaction on Instrumentation & Measurement, 49, 3(2000), pp. 617–620.

Santrač, B.; Sokola, M. A.; Mitrović, Z.; Župunski, I.; Vujičić, V. A novel method for stochastic measurement of harmonics at low signal-to-noise ratio. // IEEE Transaction on Instrumentation & Measurement, 58, 10(2009), pp. 3434–3441.

Pjevalica, V.; Vujičić, V. Further generalization of the low-frequency true-RMS instrument // IEEE Transaction on Instrumentation & Measurement, 59, 3(2010), pp. 736–744.

Antić, B. M.; Mitrović, Z. L.; Vujičić, V. V. A method for harmonic measurement of real power grid signals with frequency drift using instruments with internally generated reference frequency. // Measurement Science Review, 12, 6(2012), pp. 277-285.

Pjevalica, V.; Pjevalica, N.; Kaštelan, I.; Petrović, N. Acceleration of Digital Stochastic Measurement Simulation Based on Concurrent Programming. // ELEKTRONIKA IR ELEKTROTECHNIKA, VOL. 24, NO. 6, 2018, pp. 21–27.

Pjevalica, N.; Pjevalica, V.; Petrović, N. Advances in Concurrent Computing for Digital Stochastic Measurement Simulation. // Journal of Circuits, Systems and Computers, VOL. 29, NO. 2, 2020, pp. 1–20.

Sovilj, P. V.; Milovančev, S. S.; Vujicic, V. Digital Stochastic Measurement of a Nonstationary Signal With an Example of EEG Signal Measurement. // IEEE Transaction on Instrumentation & Measurement, 60, 9(2011), pp. 3230–3232.

Sovilj, P.; Vujičić, V.; Pjevalica, N.; Pejić, D.; Urekar, M.; Župunski, I. Influence of signal stationarity on digital stochastic measurement implementation. // Electronics, 17, 1(2013), pp. 45-53.

Sovilj, P.; Milovanović, M.; Pejić, D.; Urekar, M.; Mitrović, Z. Influence of Wilbraham-Gibbs Phenomenon on Digital Stochastic Measurement of EEG Signal Over an Interval. // Measurement Science Review, 14, 5(2014), pp. 270-278.

Principles and Techniques of Electro-oculography // Handbook of Balance Function Testing / J. R. Carl. San Diego, US : Singular Publishing Group, 1997. pp. 69–82.

CleveLabs Laboratory Course System – Student Edition, Electro-Oculography I Laboratory Cleveland Medical Devices Inc, Cleveland, OH, USA.

PhysioNet. URL: https://www.physionet.org/cgi-bin/atm/ATM.

Goldberger, A. L.; Amaral, L. A. N.; Glass, L.; Hausdorff, J. M.; Ivanov, P. Ch.; Mark, R. G.; Mietus, J. E.; Moody, G. B.; Peng, C. K.; Stanley, H. E. PhysioBank, PhysioToolkit, and PhysioNet: Components of a New Research Resource for Complex Physiologic Signals. Circulation, 101, 23(2000), ep. 215-220. URL: http://circ.ahajournals.org/cgi/content/full/101/23/e215

Wilbraham, H., “On a certain periodic function”, The Cambridge and Dublin Mathematical Journal, 3, pp. 198-201, 1848.

Gibbs, J.W.: ‘Fourier's series’, Nature, vol. 59, No. 1539, pp. 606, 1899.

Hazewinkel, M., Gibbs phenomenon, in Encyclopedia of Mathematics, Springer, 2001.

H. S. Carslaw, Chapter IX, in Introduction to the theory of Fourier's series and integrals (Third ed.), New York: Dover Publications Inc, 1930.




DOI: https://doi.org/10.22190/FUACR231102007D

Refbacks

  • There are currently no refbacks.


Print ISSN: 1820-6417
Online ISSN: 1820-6425