Current-Mode Fractional-Order Filters

  • Georgia Tsirimokou
  • Costas Psychalinos
  • Ahmed Elwakil
Part of the SpringerBriefs in Electrical and Computer Engineering book series (BRIEFSELECTRIC)


This chapter presents a current-mode technique for realizing fractional-order filters, where low-voltage current mirrors are employed as active elements. A novel topology of a current mirror, which is able to realize large time-constants is introduced. The proposed topology is then used for realizing transfer functions of fractional-order differentiator, lossless and lossy integrator of order α, and fractional-order filters of any type (i.e., FLPF, FHPF, FBPF, FBSF) of order 1 + α, which are realized by the same core, and therefore, they can be considered as generalized filter structures. The performance of the aforementioned circuits has been evaluated using the Analog Design Environment of the Cadence software and the Design kit provided by the TSMC 180 nm CMOS process.


Fractional-order filters Low-voltage circuits Current-mode filters Current-mirrors 


  1. 1.
    Solís-Bustos, S., Silva-Martínez, J., Maloberti, F., Sánchez-Sinencio, E.: A 60-dB dynamic-range CMOS sixth-order 2.4-Hz low-pass filter for medical applications. IEEE Trans. Circuits Syst. II. 200(47), 1391–1398 (2000)CrossRefGoogle Scholar
  2. 2.
    Aguado-Ruiz, J., Hernández-Alvídrez, J., López-Martín, A., Carvajal, R., Ramírez-Angulo, J.: Programmable capacitance scaling scheme based on operational transconductance amplifiers. Electron. Lett. 45(3), 159–161 (2009)CrossRefGoogle Scholar
  3. 3.
    Aguado-Ruiz, J., López-Martín, A., Ramírez-Angulo, J.: Three novel improved CMOS C-multipliers. Int. J. Circuit Theory Appl. 40, 607–616 (2012)CrossRefGoogle Scholar
  4. 4.
    Laoudias, C., Psychalinos, C.: Integrated Filters for Short Range Wireless and Biomedical Applications. Springer, Dordrecht (2012)CrossRefGoogle Scholar
  5. 5.
    Tsiromokou, G., Laoudias, C., Psychalinos, C.: 0.5V frcational-order companding filters. Int. J. Circuit Theory Appl. 43(9), 1105–1126 (2015)CrossRefGoogle Scholar

Copyright information

© The Author(s) 2017

Authors and Affiliations

  • Georgia Tsirimokou
    • 1
  • Costas Psychalinos
    • 1
  • Ahmed Elwakil
    • 2
    • 3
  1. 1.Physics Department Electronics LaboratoryUniversity of PatrasRio PatrasGreece
  2. 2.Department of Electrical and Computer EngineeringUniversity of SharjahSharjahUnited Arab Emirates
  3. 3.Nanoelectronics Integrated Systems Center (NISC)Nile UniversityCairoEgypt

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