# Comparision Between Ideal And Switched Capacitor Based Fractional Order Current Integrator

### Abstract

The driving factor behind this research work is to design

quite authenticate and balanced fractional order integrator using very

few passive elements, with low biased voltage and high dynamic range.

Integrator are very vital and important fractional quantum of

different PID controllers and electronic system. Modelling of

integrator in fractional domain refines their Operational properties

and gives highly explicit and improved responses. In this research an

integrator of fractional order of 0.1 have been simulated on 180nm

technology in Cadence tool. The proposed results give the power

dissipation of 7.83uw,and noise margin of 3.14E-9db.The proposed

work also improve the phase difference upto -80 to 300.

Keywords:
Current conveyor, Fractance, Current mode Integrator , Switched capacitor

### References

[1]Divya Goyal , Pragya Varshney, CII and RC fractance based

fractionalorder current integrator,Microelectronics journal,vol-65,

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[2]K.Biswas, S.Sen , P.K. Dutta, Realization of a constant phase

element and its performance study in a differentiator circuit, IEEE

Trans. Circuits Syst. II 53 (2006)802–806.

[3]S.Sedra, K.C. Smith, A second generation current conveyor and

its application, IEEE Trans. Circuit Theory 17 (1970) 132–134.

[4] A. Reda, M.F. Ibrahim, F. Farag, Input-output rail-to-rail CMOS

CCII for low voltage-low power applications, Microelectron. J. 48

(2016) 60–75.

[5] R. Mita, G. Palumbo, S. Pennisi, 1.5-V CMOS CCII+ with high

current-driving capability, IEEE Trans. Circuits Syst. II: Analog

Digit. Signal Process. 50 (2003) 187–190.

[6] A. Soltan, A.G. Radwan, A.M. Soliman, CCII based fractional

filters of different orders, J. Adv. Res. 5 (2014) 157–164.

[7] R. Senani, D.R. Bhaskar, A.K. Singh, Current Conveyors-

Variants, Applications and Hardware Implementations, Springer

International Publishing, New Delhi, India, 2015 (ISBN: 978-3-

319-08683-5).

[8]A.M. Soliman, Current conveyor filters: classification and

review, Microelectron. J. 29 (1998) 133–149.

[9] A.D. Marcellis, G. Ferri, P. Mantenuto, A CCII-based noninverting

Schmitt trigger and its application as astable multivibrator

for capacitive sensor interfacing, Int. J. Circuit Theory Appl.

(2016).

[10] G.E. Carlson, C.A. Halijak, Approximation of fractional

capacitors (1/s)1/n by regular Newton process, IEEE Trans.

Circuits Syst. 11 (1964) 210–213.

[11] A. Charef, Analogue realization of fractional-order integrator,

differentiator and fractional PIλDμ, IEE Proc. Control Theory

Appl. 153 (2006) 714–720.

[12] I. Petras, D. Sierociuk, I. Podlubny, Identification of

parameters of a half-order system, IEEE Trans. SignalProcess. 60

(2012) 5561–5566, .

[13] P. Yifei, Y. Xiao, L. Ke, et al. Structuring analogfractance

circuit for ½ order fractional calculus, in Proceedings of the 6th

International conference onASICON, 2, 2005, pp. 1039–1042.

[14] P. Yifei, Y. Xiao, L. Ke, et al. A recursive net-grid-type analog

fractance circuit for any order fractional calculus, in: Proceedings

of the IEEE International Conference Mechatronics and

Automation, 2005, pp. 1375–1380.

[15] A.G. Radwan, A.S. Elwakil, A.M. Soliman, On the

generalization of second-order filters to the fractional-order

domain, J. Circuits Syst. Comput. 18 (2009) 361–386.

[16] Y.F. Pu, Measurement units and physical dimensions of

fractance-part I: position of purely ideal fractor in chua's axiomatic

circuit element system and fractional-order reactance of fractor in

its natural implementation, IEEE Access4 (2016) 3379–3397.

[17]Y.F. Pu, Material performance measurement of a promising

circuit element: fractor—part I: driving-point impedance function

of the arbitrary-order fractor in its natural implementation, Mater.

Res. Innov. 19 (2015) 176–182.

fractionalorder current integrator,Microelectronics journal,vol-65,

pg1-10 [2017] .

[2]K.Biswas, S.Sen , P.K. Dutta, Realization of a constant phase

element and its performance study in a differentiator circuit, IEEE

Trans. Circuits Syst. II 53 (2006)802–806.

[3]S.Sedra, K.C. Smith, A second generation current conveyor and

its application, IEEE Trans. Circuit Theory 17 (1970) 132–134.

[4] A. Reda, M.F. Ibrahim, F. Farag, Input-output rail-to-rail CMOS

CCII for low voltage-low power applications, Microelectron. J. 48

(2016) 60–75.

[5] R. Mita, G. Palumbo, S. Pennisi, 1.5-V CMOS CCII+ with high

current-driving capability, IEEE Trans. Circuits Syst. II: Analog

Digit. Signal Process. 50 (2003) 187–190.

[6] A. Soltan, A.G. Radwan, A.M. Soliman, CCII based fractional

filters of different orders, J. Adv. Res. 5 (2014) 157–164.

[7] R. Senani, D.R. Bhaskar, A.K. Singh, Current Conveyors-

Variants, Applications and Hardware Implementations, Springer

International Publishing, New Delhi, India, 2015 (ISBN: 978-3-

319-08683-5).

[8]A.M. Soliman, Current conveyor filters: classification and

review, Microelectron. J. 29 (1998) 133–149.

[9] A.D. Marcellis, G. Ferri, P. Mantenuto, A CCII-based noninverting

Schmitt trigger and its application as astable multivibrator

for capacitive sensor interfacing, Int. J. Circuit Theory Appl.

(2016).

[10] G.E. Carlson, C.A. Halijak, Approximation of fractional

capacitors (1/s)1/n by regular Newton process, IEEE Trans.

Circuits Syst. 11 (1964) 210–213.

[11] A. Charef, Analogue realization of fractional-order integrator,

differentiator and fractional PIλDμ, IEE Proc. Control Theory

Appl. 153 (2006) 714–720.

[12] I. Petras, D. Sierociuk, I. Podlubny, Identification of

parameters of a half-order system, IEEE Trans. SignalProcess. 60

(2012) 5561–5566, .

[13] P. Yifei, Y. Xiao, L. Ke, et al. Structuring analogfractance

circuit for ½ order fractional calculus, in Proceedings of the 6th

International conference onASICON, 2, 2005, pp. 1039–1042.

[14] P. Yifei, Y. Xiao, L. Ke, et al. A recursive net-grid-type analog

fractance circuit for any order fractional calculus, in: Proceedings

of the IEEE International Conference Mechatronics and

Automation, 2005, pp. 1375–1380.

[15] A.G. Radwan, A.S. Elwakil, A.M. Soliman, On the

generalization of second-order filters to the fractional-order

domain, J. Circuits Syst. Comput. 18 (2009) 361–386.

[16] Y.F. Pu, Measurement units and physical dimensions of

fractance-part I: position of purely ideal fractor in chua's axiomatic

circuit element system and fractional-order reactance of fractor in

its natural implementation, IEEE Access4 (2016) 3379–3397.

[17]Y.F. Pu, Material performance measurement of a promising

circuit element: fractor—part I: driving-point impedance function

of the arbitrary-order fractor in its natural implementation, Mater.

Res. Innov. 19 (2015) 176–182.

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