Mathematical Model of Operation of Fiber-Optic Dac-Based Multisensory Converter of Binary Mechanical Signals to Electric Signals

In this study, the design and operation principle of a multisensory converter of binary mechanical signals to electrical signals are considered; the device is based on a fiber-optic digital-to-analog converter consisting of a kit of optical attenuators and a fiber-optic adder unit. A generalized mathematical model of the multisensory converter operation is developed. The model combines particular mathematical models of operation of a fiber-optic digital-to-analog converter, photo amplifier, and double-integration voltage-to-digit converter. The model is presented in the form of analytical equations for defining the output electric code based on the bit digits of the input mechanical code, considering a complex of constructive, sheet-oriented, and power-related parameters of the converter. The conversion of the frequency signals into codes is analyzed. The algorithm is developed for the numerical analysis of the mathematical model of operation of the investigated device, providing values of the maximum permissible instrumental errors in the manufacture of converter elements, while ensuring the full reliability of the device operation. The presented results can be used in the development of multisensory converters of binary displacements of control systems and the control and monitoring of energy-saturated objects, for which high noise immunity, electrical neutrality, low chemical activity, and information security are crucial.

This is a preview of subscription content, log in to check access.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.


  1. 1.

    V. B. Garmash, A. A. Egorov, L. N. Kolomiyets, et al., “Opportunities, tasks and prospects of fi ber-optic measuring systems in modern instrumentation,” Foton-Express, No. 6 (46), 128–140 (2005).

  2. 2.

    S. A. Babin, S. K. Glushko, A. M. Tsyba, et al., “The concept of a multifunctional coal mine safety system using fiber-optic technologies,” Vychisl. Tekhnol., 18, Spec. Iss., 95–100 (2013).

  3. 3.

    V. V. Shishkin, A. E. Churin, D. S. Kharenko, and I. S. Shelemba, “Monitoring system of the supporting structures of a football arena based on fi ber-optic sensors,” Foton-Express, No. 6, 22–23 (2013).

    Google Scholar 

  4. 4.

    J. Friden, Modern Sensors. Handbook [Russian translation], Technosfera, Moscow (2006).

  5. 5.

    E. Udd, Fiber Optic Sensors [Russian translation], Technosfera, Moscow (2008).

    Google Scholar 

  6. 6.

    G. I. Leonovich, S. A. Matyunin, and N. A. Livochkina, “Multisensor fiber-optic pressure converter,” Vest. Samarsk. Aerokosm. Univ., No. 7 (31), 123–127 (2011).

  7. 7.

    G. Buymistruk, “Fiber-optic sensors for extreme conditions,” Contr. Eng. Russia, No. 3 (45), 34–40 (2013).

  8. 8.

    R. Hui and M. O’Sullivan, Fiber Optic Measurement Techniques, Academic Press, Amsterdam/London (2009), DOI:

    Google Scholar 

  9. 9.

    S. V. Varzhel, Fiber Bragg Gratings, ITMO, St. Petersburg (2015).

    Google Scholar 

  10. 10.

    Samuel Chin-Chong Tseng, US Patent No. 3985423, subm. Oct. 12, 1976.

  11. 11.

    Yong-Kai Chen, Andreas Leven, and Kun-Yii Tu, US Patent No. 7061414B2, subm. June 1, 2006.

  12. 12.

    V. A. Zelensky, Development of the Theory and Development of Multiplexed Fiber-Optic Information-Measuring Systems for Monitoring Complex Technical Objects: Doct. Dissert. in Eng. Sci., MGUPI, Moscow (2010).

    Google Scholar 

  13. 13.

    O. V. Teryaeva, Multisensory Information Converters Based on Fiber-Optic DACs: Cand. Dissert. in Eng. Sci., Samara University, Samara (2017).

    Google Scholar 

  14. 14.

    V. M. Grechishnikov and O. V. Teryaeva, “Fiber-optic converters of airborne sensors for aircraft mechanization,” Izv. Vuzov. Aviats. Tekhn., No. 3, 12–128 (2016).

    Google Scholar 

  15. 15.

    V. M. Grechishnikov, O. V. Teryaeva, and V. V Arefyev, Patent No. 2660623 RF, Izobret. Polezn. Modeli, No. 19 (2018).

  16. 16.

    V. M. Grechishnikov, O. V. Teryaeva, and V.V Arefyev, Patent No. 173159 RF, Izobret. Polezn. Modeli, No.23 (2017).

  17. 17.

    V. G. Domrachev and B. S. Meiko, Digital Angle Converters: Principles of Construction, Accuracy Theory, Control Methods, Energoatomizdat, Moscow (1984).

  18. 18.

    B. N. Tikhonov (ed.) and I. A. Khodjaev, Metrology and Electro-Radio Measurements in Telecommunication Systems: Teach. Aid, Telecom, Moscow (2017).

  19. 19.

    V. S. Gutnikov, Integrated Electronics in Measuring Devices, Energoatomizdat, Leningrad (1988).

    Google Scholar 

  20. 20.

    I. N. Bukreev, V. I. Goryachev, and B. M. Mansurov, Microelectronic Circuits of Digital Devices, Technosfera, Moscow (2009).

    Google Scholar 

  21. 21.

    L. G. Mukhanin, Circuit Engineering of Measuring Devices, Lan’, St. Petersburg (2009).

    Google Scholar 

  22. 22.

    V. M. Grechishnikov and N. E. Konyukhov, Optoelectronic Digital Displacement Sensors with Integrated Fiber-Optic Communication Lines, Energoatomizdat, Moscow (1992).

    Google Scholar 

Download references

Author information



Corresponding authors

Correspondence to V. M. Grechishnikov or E. G. Komarov.

Additional information

Translated from Izmeritel’naya Tekhnika, No. 2, pp. 20–28, February, 2020.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Grechishnikov, V.M., Komarov, E.G. Mathematical Model of Operation of Fiber-Optic Dac-Based Multisensory Converter of Binary Mechanical Signals to Electric Signals. Meas Tech 63, 96–105 (2020).

Download citation


  • multisensory converter
  • digital-to-analog сonverter
  • mathematical model
  • fi ber optics
  • algorithm
  • error
  • reliability