Simple Current-Mode Squaring and Square-Rooting Circuits: Applications of MO-CCCCTA

Authors

  • Suvajit Roy Department of Physics, Vidyasagar University, Midnapore, West Bengal 721102, India
  • Tapas Kumar Paul Department of Physics, Vidyasagar University, Midnapore, West Bengal 721102, India
  • Radha Raman Pal Department of Physics, Vidyasagar University, Midnapore, West Bengal 721102, India

DOI:

https://doi.org/10.48048/tis.2021.721

Keywords:

MO-CCCCTA, Squarer, Square-rooter, Vector summation circuit

Abstract

This work provides new designs of simple current-mode squaring and square-rooting circuits using multiple-output current controlled current conveyor transconductance amplifier (MO-CCCCTA) as an active building block. Since the proposed circuits need no other external components, they are capable of high-frequency operation and well fitted for IC fabrication. Furthermore, they are insensitive to ambient temperature and their gains can be controlled easily by adjusting the bias currents of MO-CCCCTA. Additionally, the effects of MO-CCCCTA non-idealities on the designed circuits have also been investigated and discussed. Simulation results generated through PSPICE software using TSMC 0.18 µm CMOS process parameters have been presented to justify the theoretical analysis. The static power consumption, bandwidth, and maximum linearity error in dc transfer characteristic measurement for the square-rooting circuit are found to be 0.17 mW, 445.63 MHz and 1.12 %, while for the squaring circuit they are 0.326 mW, 61.15 MHz and 2.38 %, respectively. The application of the reported circuits as a 2-input vector summation circuit has also been included to strengthen the design ideas.

HIGHLIGHTS

  • Simple structures of fully integrable current-mode squarers and square-rooters with low component count and lower power dissipation
  • The circuits are insensitive to temperature drift and their gains can be controlled easily by adjusting the bias currents of MO-CCCCTA
  • Bandwidth, static power dissipation, linearity error of square-rooter are 445.63 MHz, 0.17 mW & ≤ 1.12 %; and for the squarer 61.15 MHz, 0.326 mW & 2.38 %, respectively

GRAPHICAL ABSTRACT

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

References

DR Bhaskar, VK Sharma, M Monis and SMI Rizvi. New current-mode universal biquad filter. Microelectron. J. 1999; 30, 837-9.

S Roy and RR Pal. Electronically tunable third-order quadrature sinusoidal oscillators employing VDCCs and all grounded components. Integration 2021; 76, 99-112.

JK Pathak, AK Singh and R Senani. New squaring and square-rooting circuits using CDBA. Am. J. Electr. Electron. Eng. 2014; 2, 175-9.

K Dejhan and C Netbut. New simple square-rooting circuits based on translinear current conveyors. Int. J. Electron. 2007; 94, 707-23.

SI Liu. Square-rooting and vector summation circuits using current conveyors. IEE Proc. Circ. Dev. Syst. 1995; 142, 223-6.

W Petchakit, A Lorsawatsiri, W Kiranon and C Wongtaychathum. Current-mode squaring, square-rooting and vector summation circuits. AEU Int. J. Electron. Comm. 2010; 64, 443-9.

KC Selvam and S Latha. A simple square rooting circuit based on operational amplifiers (OPAMPs). Eng. Tech. Appl. Sci. Res. 2013; 3, 349-51.

T Kamsri, P Julsereewong and V Riewruja. Simple square-root extractor using op amps. In: Proceedings of the International Conference on Control, Automation and Systems, Seoul, South Korea. 2008, p. 1812-5.

I Chaisayun. A simple and low cost square-rooting circuits employing commercial devices. In: Proceedings of the 2017 International Electrical Engineering Congress, Pattaya, Thailand. 2017.

V Riewruja and T Kamsri. Square-rooting and absolute function circuits using operational amplifiers. IET Circ. Dev. Syst. 2009; 3, 57-63.

IM Filanovsky and HP Baltes. Simple CMOS analog square-rooting and squaring circuits. IEEE Trans. Circ. Syst. I Fund. Theor. Appl. 1992; 39, 312-5.

BC Nagar and M Ghosh. Squarer and sinusoidal frequency doubler based on single OTRA. In: Proceedings of the 2nd International Conference on Power, Energy and Environment: Towards Smart Technology, Shilong, India. 2018, p. 1-4.

G Aggarwal, H Garg, N Bansal, P Gangwar and R Pandey. Single OTRA based low voltage square root circuit. Int. J. Adv. Res. Innovat. 2017; 5, 431-2.

W Chiu, SI Liu, HW Tsao and JJ Chen. CMOS differential difference current conveyors and their applications. IEE Proc. Circ. Dev. Syst. 1996; 143, 91-6.

A Raj, DR Bhaskar and P Kumar. Two quadrant analog voltage divider and square-root circuits using OTA and MOSFETs. Circ. Syst. Signal Process. 2020; 39, 6358-85.

V Riewruja. Simple square-rooting circuit using OTAs. Electron. Lett. 2008; 44, 1000-2.

TK Sen, A Ray and BN Ray. An arbitrary power law device based on operational transconductance amplifiers. IEEE Trans. Instrum. Meas. 1993; 42, 948-52.

W Tangsrirat, D Prasertsom, T Pukkalanun and W Surakampontorn. Simple current-mode square-rooting circuit with temperature compensation using only OTAs. Int. J. Electr. Eng. Educ. 2010; 47, 23-30.

I Chaisayun and S Maitreechit. An OTA based versatile squarer circuit. In: Proceedings of the 9th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, Phetchaburi, Thailand. 2012, p. 1-4.

B Boonchu and W Surakampontorn. Dual-output CMOS voltage squarer circuit. In: Proceedings of the 17th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, Phuket, Thailand. 2020, p. 287-90.

W Tangsrirat, T Pukkalalun, P Monkolwai and W Surakampontron. Simple current-mode analog multiplier, divider, square-rooter and squarer based on CDTAs. AEU Int. J. Electron. Comm. 2011, 65, 198-203.

P Sroymuk and N Pisutthipong. A temperature-insensitive simple current-mode square-root and squarer employing only multiple-output CTTAs. In: Proceedings of the Ninth PSU Engineering Conference, Hat Yai, Thailand. 2011, p. 185-8.

P Silapan and C Chanapromma. Multiple ouput CFTAs (MO-CFTAs)-based wide-range linearly/electronically controllable current-mode square-rooting circuit. In: Proceedings of the International Symposium on Intelligent Signal Processing and Communications Systems, Chiang Mai, Thailand. 2011, p. 1-4.

A Lahiri and A Chowdhury. Current-mode square rooting circuit using CCCDTA. Int. J. Recent Trends Eng. 2009; 1, 280-2.

S Lawanwisut and M Siripruchyanun. Temperature insensitive/electronically controllable current-mode squarer based on CC-CDBAs. In: Proceedings of the 1st International Conference on Technical Education, Bangkok, Thailand. 2009, p. 225-8.

M Siripruchyanun and W Jaikla. Current controlled current conveyor transconductance amplifier (CCCCTA): A building block for analog signal processing. Electr. Eng. 2008; 90, 443-53.

HP Chen, YS Hwang and YT Ku. Voltage-mode and current-mode resistorless third-order quadrature oscillator. Appl. Sci. 2017; 7, 179.

T Bumrongchoke, W Jaikla and M Siripruchyanun. An electronic controllable simple current-mode oscillator using single MO-CCCCTA and grounded capacitors. In: Proceedings of the 1st International Conference on Technical Education, Bangkok, Thailand. 2010, p. 217-20.

P Silapan, C Tanaphatsiri and M Siripruchyanun. Current controlled CCTA based novel grounded capacitance multiplier with temperature compensation. In: Proceedings of the Asia Pacific Conference on Circuits and Systems, Macao, China. 2008, p. 1490-3.

N Pandey, R Bazaz and R Manocha. MO-CCCCTA based floating positive and negative inductors and their applications. J. Electr. Comput. Eng. 2011; 2011, 150354.

SV Singh, S Maheshwari and DS Chauhan. Electronically tunable current-mode SIMO/MISO universal biquad filter using MO-CCCCTAs. Int. J. Recent Trends Eng. Tech. 2011; 3, 36-41.

HP Chen and WS Wang. Electronically tunable current controlled current conveyor transconductance amplifier-based mixed-mode biquadratic filter with resistorless and grounded capacitors. Appl. Sci. 2017; 7, 244.

Downloads

Published

2021-11-15

How to Cite

Roy, S. ., Paul, T. K. ., & Pal, R. R. . (2021). Simple Current-Mode Squaring and Square-Rooting Circuits: Applications of MO-CCCCTA. Trends in Sciences, 18(23), 721. https://doi.org/10.48048/tis.2021.721