Skip to main content
SpringerLink
Log in

Designing programmable current-mode Gaussian and bell-shaped membership function

  • Published:
Analog Integrated Circuits and Signal Processing Aims and scope Submit manuscript

Abstract

In this paper, a procedure is proposed to implement a novel and effective Gaussian-shaped and Bell-shaped membership function. The circuit is designed in a current mode. Therefore, the power consumption has been decreased. Higher power supply rejection ratio is also achieved by the use of a differential structure. The most important aims are to design simple, accurate and low power consumption circuits. The proposed circuit operates in the saturation region. Therefore, high-accuracy, as well as the high-speed performance and independency to the temperature variations, are obtained. Programmability, power consumption and parameters variations of the proposed circuit are also presented. The simulations are done in 0.18 µm CMOS technology.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Fathi, R., Pour, M. E., & Zadeh, S. M. (2012). Production of membership functions for the high precision applications in fuzzy systems and neural networks. Journal of Electrical and Electronic Engineering,2(2), 60–63.

    Article  Google Scholar 

  2. Azimi, S. M., & Miar-Naimi, H. (2019). Designing an analog CMOS fuzzy logic controller for the inverted pendulum with a novel triangular membership function. Scientia Iranica,26(3), 1736–1748.

    Google Scholar 

  3. Teodosescu, P., Breban, S., Gros, I., & Marginean, C. (2017). Fuzzy logic energy management for a residential power system using renewable energy sources. In Modern fuzzy control systems and its applications (pp. 127–138). https://doi.org/10.5772/intechopen.69486.

    Google Scholar 

  4. Sambariya, D. K., & Prasad, R. (2016). Selection of membership functions based on fuzzy rules to design an efficient power system stabilizer. International Journal of Fuzzy Systems, 19(3), 813–828.

    Article  MathSciNet  Google Scholar 

  5. Motea, Z. M., Wahid, H., Zahid, J., Lwin, S. H., & Hassan, A. M. (2018). A comparative analysis of intelligent and PID controllers for an aircraft pitch control system. Applications of Modelling and Simulation,2(1), 17–25.

    Google Scholar 

  6. Yagiz, N., Sakman, L. E., & Guclu, R. (2008). Different control applications on a vehicle using fuzzy logic. Sādhanā,33(1), 15–25.

    Article  Google Scholar 

  7. Emami, M. R. S. (2010). Fuzzy logic applications in chemical processes. Journal of Mathematics and Computer Science,1(4), 339–348.

    Article  Google Scholar 

  8. Chen, C., Wang, C., Wang, Y. T., & Wang, P. T. (2017). Fuzzy logic controller design for intelligent robots. Mathematical Problems in Engineering,2017, 1–12.

    Google Scholar 

  9. Ofoli, A. R. (2018). Fuzzy-logic applications in electric drives and power electronics. In M. H. Rashid (Ed.), Power electronics handbook (4th ed., pp. 1221–1243). Amsterdam: Elsevier.

    Chapter  Google Scholar 

  10. Azimirad, E., & Haddadnia, J. (2015). Target threat assessment using fuzzy sets theory. International Journal of Advances in Intelligent Informatics,1(2), 57–74.

    Article  Google Scholar 

  11. Tran, T. A. (2018). The optimization of marine diesel engine rotational speed control process by fuzzy logic control based on particle swarm optimization algorithm. Future Internet,10, 99.

    Article  Google Scholar 

  12. Mageswari, A., & Nithya, R. (2018). A study on fuzzy logic and its applications in medicine. International Journal of Pure and Applied Mathematics,119(16), 1515–1525.

    Google Scholar 

  13. Karanovic, G., & Gjosevska, B. (2012). Application of fuzzy logic in determining cost of capital for the capital budgeting process. Procedia Social and Behavioral Sciences,3(12), 78–83.

    Google Scholar 

  14. Swain, N. K. (2006). A survey of application of fuzzy logic in intelligent transportation systems (ITS) and rural ITS. In [IEEE IEEE SoutheastCon 2006—Memphis, TN (March 31–April 2, 2006)] Proceedings of the IEEE SoutheastCon 2006 (pp. 85–90).

  15. Lopez-molina, C., Bustince, H., Fernandez, J., & De Baets, B. (2011). Generation of fuzzy edge images using trapezoidal membership functions. In Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) (pp. 327–333). Paris: Atlantis press.

  16. Radhika, C., & Parvathi, R. (2016). Intuitionistic fuzzification functions. Global Journal of Pure and Applied Mathematics,12(2), 1211–1227.

    Google Scholar 

  17. Lin, C.-M., & Li, H.-Y. (2014). Adaptive dynamic sliding-mode fuzzy CMAC for voice coil motor using asymmetric gaussian membership function. IEEE Transactions on Industrial Electronics,61(10), 5662–5671.

    Article  Google Scholar 

  18. Tokmakçi, M., Alçi, M., & Kiliç, R. (2002). A simple CMOS-based membership function circuit. Analog Integrated Circuits and Signal Processing,32(1), 83–88.

    Article  Google Scholar 

  19. Kakkar, V. (2009). Comparative study on analog and digital neural networks. International Journal of Computer Science and Network Systems, 9(7).

  20. Saatlo, A. N., & Ozoguz, S. (2015). On the realization of Gaussian membership function circuit operating in saturation region. In 2015 38th international conference on telecommunications and signal processing (TSP) (pp. 1–4).

  21. Moshfe, S., Khoei, A., Hadidi, K., & Mashoufi, B. (2010). A fully programmable nano-watt analogue CMOS circuit for Gaussian functions. In 2010 International conference on electronic devices, systems and applications (pp. 82–87).

  22. Eldeeb, M. A., Ghallab, Y. H., Ismail, Y., & Elghitani, H. (2017). Low-voltage subthreshold CMOS current mode circuits: Design and applications. AEUE - International Journal of Electronics and Communications.

  23. Khaneshan, T. M., Nematzadeh, M., Khoei, A., & Hadidi, K. (2012). An analog reconfigurable Gaussian-shaped membership function generator using current-mode techniques. In ICEE 2012 - Iranian Conference on Electrical Engineering (pp. 145–149).

  24. Pour, M. E., & Mashoufi, B. (2011). A low power consumption and compact mixed-signal Gaussian membership function circuit for neural/fuzzy hardware. In 2011 International conference on electronic devices, systems and applications (ICEDSA) (No. 4, pp. 87–91).

  25. Prommee, P., Angkeaw, K., Somdunyakanok, M., & Dejhan, K. (2009). CMOS-based near zero-offset multiple inputs max-min circuits and its applications. Analog Integrated Circuits and Signal Processing,61(1), 93–105.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Babol Noshirvany University of Technology, Babol, Iran

    S. M. Azimi & H. Miar-Naimi

Authors
  1. S. M. Azimi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Miar-Naimi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. M. Azimi.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Azimi, S.M., Miar-Naimi, H. Designing programmable current-mode Gaussian and bell-shaped membership function. Analog Integr Circ Sig Process 102, 323–330 (2020). https://doi.org/10.1007/s10470-019-01567-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10470-019-01567-y

Keywords

Search

Navigation