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Accurate Tunable-Gain 1/x Circuit Using Capacitor Charging Scheme

  • Yang, Byung-Do (Department of Electronics Engineering, Chungbuk National University) ;
  • Heo, Seo Weon (School of Electronic & Electrical Engineering, Hongik University)
  • Received : 2014.05.13
  • Accepted : 2015.01.02
  • Published : 2015.10.01

Abstract

This paper proposes an accurate tunable-gain 1/x circuit. The output voltage of the 1/x circuit is generated by using a capacitor charging time that is inversely proportional to the input voltage. The output voltage is independent of the process parameters, because the output voltage depends on the ratios of the capacitors, resistors, and current mirrors. The voltage gain of the 1/x circuit is tuned by a 10-bit digital code. The 1/x circuit was fabricated using a $0.18{\mu}m$ CMOS process. Its core area is $0.011mm^2$ ($144{\mu}m{\times}78{\mu}m$), and it consumes $278{\mu}W$ at $V_{DD}=1.8V$ and $f_{CLK}=1MHz$. Its error is within 1.7% at $V_{IN}=0.05V$ to 1 V.

Keywords

References

  1. T.L. Laopoulos and C.A. Karybakas, "A Simple Analog Division Scheme," IEEE Trans. Instrum. Meas., vol. 40, no. 4, Aug. 1991, pp. 779-782. https://doi.org/10.1109/19.85354
  2. M. van de Gevel and J.C. Kuenen, "Simple Low-Voltage Weak Inversion MOS 1/x Circuit," Electron. Lett., vol. 30, no. 20, Sept. 1994, pp. 1639-1640. https://doi.org/10.1049/el:19941170
  3. S.-I. Liu and C.-C. Chang, "CMOS Analog Divider and Four-Quadrant Multiplier Using Pool Circuits," IEEE J. Solid-State Circuits, vol. 30, no. 9, Sept. 1995, pp. 1025-1029. https://doi.org/10.1109/4.406403
  4. W. Liu and S.-I. Liu, "CMOS Tunable 1/x Circuit and its Applications," IEICE Trans. Fundam. Electron. Commun. Comput. Sci., vol. E86-A, no. 7, July 2003, pp. 1896-1899.
  5. W. Liu, S.-I. Liu, and S.-K. Wei, "CMOS Current-Mode Divider and its Applications," IEEE Trans. Circuits Syst. II: Exp. Briefs, vol. 52, no. 3, Mar. 2005, pp. 145-148. https://doi.org/10.1109/TCSII.2004.842041
  6. I. Padilla-Cantoya, "Compact Low-Voltage CMOS Analog Divider Using a Four-Quadrant Multiplier and Biasing Control Circuit," IEEE Int. Midwest Symp. Circuits Syst., Boise, ID, USA, Aug. 5-8, 2012, pp. 502-505.

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