Abstract
This chapter focuses on the design of novel topologies that are suitable for implementing fractional-order circuits, which offer attractive features, especially when they are applied in biomedical applications. The design examples that will be presented are (i) the efficiency of fractional-order differentiators for handling signals in a noisy environment using the Pan-Tompkins algorithm, (ii) a fully tunable implementation of a biological tissue using fractional-order capacitors, (iii) a simple non-impedancebased measuring technique for supercapacitors, and (iv) the design and evaluation of a fractional-order oscillator. Then main feature that has been proved is the fact that fractional-order circuits offer better performance when compared to their integer-order counterparts. In case of designing the fractional-order differentiator for being used in the Pan-Tompkins algorithm, the Sinh-Domain technique (companding filtering) has been employed, while the nonlinear transconductances that have been used as active elements were build using MOS transistors biased in subthreshold region, offering also the benefit of low- voltage operation. In addition, fractional-order capacitors are designed using OTAs as active elements, offering also the benefit of low- voltage operation. The behaviour of the proposed structures is evaluated through simulation results.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Tsividis, Y.: Externally linear, time-invariant systems and their applications to companding signal processors. IEEE Trans. Circ. Syst. II. 44(2), 65–85 (1997)
Frey, D.R.: Log-domain filtering: an approach to current-mode filtering. IET Proc. Circ Dev. Syst. Pt.-G. 140(6), 406–416 (1996)
Serdijn, W., Kouwenhoven, M., Mulder, J., van Roermund, A.: Design of high dynamic range fully integratable translinear filters. Analog Integr. Circ. Sig. Proc. 19(3), 223–239 (1999)
Katsiamis, A., Glaros, K., Drakakis, E.: Insights and advances on the design of CMOS sinh companding filters. IEEE Trans. Circ. Syst. I. 55(9), 2539–2550 (2008)
Psychalinos, C.: Low-voltage complex log-domain filters. IEEE Trans. Circ. Syst. I. 55(11), 3404–3412 (2008)
Psychalinos, C.: Log-domain SIMO and MISO low-voltage universal Biquads. Analog Integr. Circ. Sig. Proc. 67(2), 201–211 (2011)
Kasimis, C., Psychalinos, C.: Design of Sinh-Domain filters using comple-mentary operators. Int. J. Circ. Theory Appl. 40(10), 1019–1039 (2012)
Kasimis, C., Psychalinos, C.: 1.2V BiCMOS Sinh-Domain filters. Circ. Syst. Sig. Proc. 31(4), 1257–1277 (2012)
Mulder, J., Serdijn, W.A., van der Woerd, A.C., van Roermund, A.H.M.: “A syllabic companding translinear Filter”, Proc. in IEEE International Symposium Circuits Systems (ISCAS), Hong Kong, pp. 101–104 (1997)
Adams, R.W.: “Filtering in the log domain”, Preprint #1470, 63rd AES Conference, New York (1979)
Tsirimokou, G., Laoudias, C., Psychalinos C.: 0.5-V fractional-order companding filters. Int. J. Circ. Theory Appl. 43(9), 1105–1126 (2015)
Tsirimokou, G., Laoudias, C., Psychalinos, C.: Tinnitus detector realization using sinh-domain circuits. J. Low Power Electron. 9(4), 458–470 (2013)
Kafe, F., Psychalinos, C.: Realization of companding filters with large time-constants for biomedical applications. Analog Integr. Circ. Sig. Process. 78(1), 217–231 (2014)
Pan, J., Tompkins, W.: A real-time QRS detection algorithm. I.E.E.E. Trans. Biomed. Eng. 32(3), 230–236 (1985)
Hamilton, P., Tompkins, W.: Quantitative investigation of QRS detection rules using the MIT/BIH arrhythmia database. IEEE Trans. Biomed.l Eng. 33(12), 1157–1165 (1986)
Bailey, J., Berson, A., Garson, A., Horan, L., Macfarlane, P., Mortara, D., et al.: Recommendations for standardization and specifications in automated electrocardiography: bandwidth and digital signal processing. J. Am. Heart Assoc. Circ. 81, 730–739 (1990)
Kligfield, P., Gettes, L., Bailey, J., Childers, R., Deal, B., Hancock, W., et al.: Recommendations for the standardization and interpretation of the electrocardiogram part I: the electrocardiogram and its technology. Journal of the American Heart Association Circulation. 115, 1306–1324 (2007)
Ferdi, Y., Hebeuval, J., Charef, A., Boucheham, B.: R wave detection using fractional digital differentiation. ITBMRBM. 24(5-6), 273–280 (2003)
Goutas, A., Ferdi, Y., Herbeuval, J.P., Boudraa, M., Boucheham, B.: Digital fractional order differentiation-based algorithm for P and T-waves detection and delineation. Int. Arab. J. Inf. Technol. 26(2), 127–132 (2005)
Benmalek, M., Charef, A.: Digital fractional order operators for R-wave detection in electrocardiogram signal. IET Sig. Process. 3(5), 381–391 (2009)
Sawigun, C., Serdijn, W.: Ultra-low-power, class-AB. CMOS four-quadrant current multiplier. Electron. Lett. 45(10), 483–484 (2009)
Kasimis, C., Psychalinos, C.: 0.65 V class-AB current-mode four-quadrant multiplier with reduced power dissipation. Int. J. Electron. Commun. 65(7), 673–677 (2011)
Tsirimokou, G., Psychalinos, C., Khanday, F.A., Shah N.A.: 0.5V Sinh-Domain Differentiator. Int. J. Electron. Lett. 3(1), 34–44 (2015)
http://www.physionet.org/physiotools/ecgsyn/. Accessed 25 Aug 2014
Cole, K.S.: Permeability and impermeability of cell membranes for ions. Proc. Cold Spring. Harb. Lab. Symp. Quant. Biol. 8, 110–122 (1940)
Freeborn, T.J.: A survey of fractional-order circuits models for biology and biomedicine. IEEE J. Emerging. Sel. Top. Circ. Syst. 3(3), 416–424 (2013)
Maundy, B., Elwakil, A.S.: Extracting single dispersion Cole-Cole imped-ance model parameters using an integrator setup. Analog Int. Circ. Sig. Process. 71(1), 107–110 (2012)
Abbey, C., Joos, G.: Supercapacitor energy storage for wind energy applications. IEEE Trans. Ind. Appl. 43(3), 769–776 (2007)
Pegueroles-Queralt, J., Bianchi, F.D., Gomis-Bellmunt, O.: A power smoothing system based on supercapacitors for renewable distributed generation. IEEE Trans. Ind. Electron. 62(1), 343–350 (2015)
Cao, J., Emadi, A.: A new battery/ultracapacitor hybrid energy storage system for electric, hybrid, and plug-in hybrid electric vehicles. IEEE Trans. Power Electron. 27(1), 122–132 (2012)
Pandey, A., Allos, F., Hu A.P., et al.: “Integration of supercapacitors into wirelessly charged biomedical sensors”, in Proc. Of Sixth IEEE Conference on Industrial Electronics and Applications (ICIEA), pp. 56–61 (2011)
Kim, S., No, K.S., Chou, P.H.: Design and performance analysis of supercapacitor charging circuits for wireless sensor nodes. IEEE J. Emerging Sel. Top. Circ. Syst. 1(3), 391–402 (2011)
Du, C., Pan, N.: High power density supercapacitor electrodes of carbon nanotube films by electrophoretic deposition. Nanotechnology. 17(21), 5314 (2006)
Mahon, P.J., Paul, G.L., Keshishian, S.M., Vassallo, A.M.: Measure-ment and modeling of the higher-power performance of carbon-based supercapacitors. J. Power Sources. 91(1), 68–76 (2000)
Martynyuk, V., Ortigueira, M.: Fractional model of an electrochemical capacitor. Signal Process. 107(2), 355–360 (2015)
Bondarenko, A., Ragoisha, G.: “Progress in Chemometrics Research” (Nova Science, New York, (http://www.abc.chemistry.bsu.by/vi/), 2005)
Ahmed, W., Elkhazali, R., Elwakil, A.S.: Fractional-order Wienbridge oscillator. Electron. Lett. 37, 1110–1112 (2001)
Radwan, A., Salama, K.,: Frcational-order RC and RL ciruits. Circuits, Systems and Signal Processing Journal. 31(6), 1901–1915 (2012)
Freeborn, T.J., Maundy, B.J., Elwakil, A.S.: Fractional resonance based filters. Math. Probl. Eng. 726721, 1–10 (2013)
Radwan, A.G., Elwakil, A.S., Soliman, A.M.: Fractional-order sinusoidal oscillators: design procedure and practical examples. IEEE Trans. Circ. Syst. I. 55, 2051–2063 (2008)
Psychalinos, C., Pal, K., Vlassis, S.: A floating generalized impedance converter with current feedback amplifiers. Int. J. Electron. Commun. (AEU). 62, 81–85 (2008)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2017 The Author(s)
About this chapter
Cite this chapter
Tsirimokou, G., Psychalinos, C., Elwakil, A. (2017). Applications of Fractional-Order Circuits. In: Design of CMOS Analog Integrated Fractional-Order Circuits. SpringerBriefs in Electrical and Computer Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-55633-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-55633-8_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-55632-1
Online ISBN: 978-3-319-55633-8
eBook Packages: EngineeringEngineering (R0)