access icon openaccess Passage of fractal signals via circuit with a ferroelectric capacitor with a negative capacitance

In the report presented, the results of synthesis of two of the newest scientific areas, namely integrated ferroelectrics and fractal radio systems, have been shown on the simplest example. For this goal, the numerically analytical method for an approximate solution of the equation for the electric charge value on a ferroelectric capacitor with negative capacitance connected to a fractal voltage source through a series resistor has been developed. This method combines the regularisation of the input fractal signal (voltage), decomposition of obtained fractal voltage by means of Haar wavelets using the Mallat algorithm, and matching of analytical expressions for charge at the constant input voltage. The accuracy of the method proposed and change of the fractal dimension of voltage before and after schemes mentioned have been discussed.

Inspec keywords: ferroelectric capacitors; wavelet transforms; resistors; fractals; approximation theory

Other keywords: series resistor; constant input voltage; integrated ferroelectrics; negative capacitance; analytical expression matching; ferroelectric capacitor; numerically analytical method; electric charge value; approximate solution; input fractal signal; Haar wavelets; fractal radio systems; fractal voltage source; Mallat algorithm

Subjects: Integral transforms in numerical analysis; Other topics in statistics; Ferroelectric devices; Interpolation and function approximation (numerical analysis); Resistors; Capacitors

References

    1. 1)
      • 12. Potapov, A.: ‘Chaos theory, fractals and scaling in the radar: a Look from 2015’, in Skiadas, C. (Ed): ‘The foundations of chaos revisited: from Poincaré to recent advancements’ (Springer Int. Publ., Basel, 2016), pp. 195218.
    2. 2)
      • 5. Potapov, A., Rassadin, A., Tronov, A., et al: ‘On nonstationary regimes in electric circuits with ferroelectric negative capacitance’. Proc. 2017 Int. Siberian Conf. on Control and Communications (SIBCON), Astana, Kazakhstan, June 2017, http://ieee.tpu.ru/proceedings/papers/3ed315.pdf, accessed 22 March 2018.
    3. 3)
      • 14. Potapov, A., Rassadin, A., Tronov, A., et al: ‘Generator of fractal voltage: practical scheme’. Int. Conf. on Dynamical Systems ‘Shilnikov Workshop 2017’, Nizhny Novgorod, Russia, December 2017, Book of abstracts, p. 28, http://www.shilnikov.unn.ru/en, accessed 22 March 2018.
    4. 4)
      • 9. Kostromina, O., Potapov, A., Rassadin, A., et al: ‘Total harmonic distortions in an oscillatory circuit with a ferroelectric capacitor with a negative capacitance’, Eurasian Phys. Tech. J., 2017, 14, (2(28), pp. 1421.
    5. 5)
      • 10. Kostromina, O., Potapov, A., Rassadin, A., et al: ‘Oscillations in homogeneous circuit with ferroelectric capacitors with a negative capacitance’, Memoirs Fac. Phys., Lomonosov Moscow State Univ., 2017, 6, pp. 1760703, (in Russian).
    6. 6)
      • 16. Kudasov, Y, Makarova, N., Dubinov, A.: ‘Generator of fractal signal’, Patent of Russian Federation 2168848, June 2001.
    7. 7)
      • 3. Ahmed, A., Goldthorpe, I., Khandani, A.: ‘Electrically tunable materials for microwave applications’, Appl. Phys. Rev., 2015, 2, (1), p. 011302.
    8. 8)
      • 18. Mallat, S.: ‘A wavelet tour of signal processing’ (Academic Press, Orlando, 1999, 2nd edn.).
    9. 9)
      • 17. Rytov, S.M.: ‘Introduction into statistical radiophysics. Part 1’, in ‘Stochastic processes’ (NAUKA, Moscow, 1976), (in Russian).
    10. 10)
      • 11. Potapov, A.A.: ‘Fractals in radiophysics and radiolocation: sample topology’ (University book Publ., Moscow, 2005, 2nd edn.).
    11. 11)
      • 15. Kuznetsov, A., Kuznetsov, S.: ‘Generator of fractal signal’, Tech. Phys. Lett., 1992, 18, (24), pp. 1922.
    12. 12)
      • 4. Khan, A., Bhowmik, D., Yu, P., et al: ‘Experimental evidence of ferroelectric negative capacitance in nanoscale heterostructures’, Appl. Phys. Lett., 2011, 99, pp. 113501.
    13. 13)
      • 1. Jindal, S., Vasishth, A., Devi, S., et al: ‘A review on tungsten bronze ferroelectric ceramics as electrically tunable devices’, Integr. Ferroelectr., 2018, 186, (1), pp. 19.
    14. 14)
      • 7. Potapov, A., Rassadin, A., Tronov, A., et al: ‘On solution of Fokker–Planck–Kolmogorov equation for a ferroelectric capacitor with a negative capacitance by means of the Krasovsky series expansion method’. Proc. 14th Sino-Russia Symp. on Advanced Materials and Technologies/Ed. Mingxing Jia, Sanya, Hainan Province, China, November 28–December 1 2017, pp. 478483, Beijing: Metallurgical Industry Press (China, http://www.cnmip.com.cn, accessed 22 March 2018), 2017, (ISBN 978-7-900853-01-1).
    15. 15)
      • 13. Potapov, A., Gulyaev, Y., Nikitov, S., et al: ‘The modern methods of image processing’, Potapov, A. (Ed): (FIZMATLIT, Moscow, 2008), (in Russian).
    16. 16)
      • 2. Pavlov, D., Piyanzina, I., Mukhortov, V., et al: ‘Two-dimensional electron gas at the interface of Ba0.8Sr0.2TiO3 ferroelectric and LaMnO3 antiferromagnet’, JETP Lett., 2017, 106, (7), pp. 460464.
    17. 17)
      • 8. Gourary, M., Rusakov, S., Rassadin, A., et al: ‘SPICE models of nonlinear capacitors for simulation of ferroelectric circuits’. Proc. of IEEE East-West Design & Test Symp., Novi Sad, Serbia, September 29–October 2 2017, pp. 113116.
    18. 18)
      • 6. Potapov, A., Rassadin, A., Tronov, A., et al: ‘Passing of periodic signals of a special type through ferroelectric capacitor with negative capacitance’. Proc. of the 3rd Int. Scientific and Practical Conf. Actual problems and prospects for the development of radio engineering and info communication systems RADIOINFOCOM-2017, Moscow, Russia, November 2017, Vol. 2, pp. 592602, (in Russian), http://forum.mirea.ru/docs/, accessed 22 March 2018.
http://iet.metastore.ingenta.com/content/journals/10.1049/joe.2019.0523
Loading

Related content

content/journals/10.1049/joe.2019.0523
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading