Time-Mode Signal Quantization for Use in Sigma-Delta Modulators

Document Type : Research Article

Authors

1 Ph.D. Student, Integrated Circuits Design Laboratory, Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran.

2 Associate Professor, Ph.D. Student, Integrated Circuits Design Laboratory, Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran.

Abstract

The rapid scaling in modern CMOS technology has motivated the researchers to design new analog-to-digital converter (ADC) architectures that can properly work in lower supply voltage. An exchanging the data quantization procedure from the amplitude to the time domain, can be a promising alternative well adapt with the technology scaling. This paper is going to review the recent development in time-based noise-shaping ADCs, so-called as time-based sigma-delta modulators. Two of the most important architectures named as voltage-controlled oscillator (VCO) -based and time-to-digital (TDC) -based sigma-delta modulators (SDMs) are selected to be reviewed in this paper. The intrinsic advantages and limitations of the these structures are briefly explored. To confirm the effectiveness of the time-mode sigma-delta modulators, a TDC-based continuous-time sigma-delta modulator is proposed as an example and the related simulation results performed in MATLAB are illustrated. The simulation results show that the proposed modulator achieves a dynamic range of 67 dB over 30 MHz with the loop filter of order 2. The proposed TDC-based sigma-delta modulator shows the superiority of the time quantization approach in designing the wideband and less complex continuous-time SDMs.

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Main Subjects


[1] T. Christopher, Analog-to-Digital conversion via time-mode signal processing, Ph.D. Dissertation, Dept of Electrical and Computer Engineering, McGill University, Montreal, 2007.
[2] Y. Fei, “Design techniques for time-mode noise-shaping analog-to-digital converters: a state-of-the-art review,” Analog Integrated Circuits and Signal Processing, vol. 79. pp 191–206, Nov. 2014.
[3] S. Norsworthy, R. Schreier, and G. Temes, Delta-Sigma Data Converters: Theory, Design and Simulation. New York: IEEE Press, 1997.
[4] J. M. de la Rosa et al., “Sigma-Delta Modulators: Tutorial Overview, Design Guide, and State-of-the-Art Survey,” ,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 58, no. 1, pp. 1–21, Jan. 2011.
[5] M. Z. Straayer and M. H. Perrott, “A 12-bit, 10-MHz bandwidth, continuous- time ΔΣ ADC with a 5-bit, 950-MS/s VCO-based quantizer,” IEEE J. Solid-State Circuits, vol. 43, no. 4, pp. 805– 814, Apr. 2008.
[6] B. D. Vuyst, and P. Rombouts, “A 5-MHz 11-bit self oscillating ΣΔ modulator with a delay-based phase shifter in 0.025 mm2,” IEEE J. of Solid-State Circuits, vol. 46, no. 8, pp. 1919–1927, Aug. 2011.
[7] A. Iwata, “The architecture of delta sigma analog-to-digital converters using a VCO as a multi-bit quantizer,” IEEE Trans. Circuits and Systems-II: Exp. Briefs, vol. 46, no. 8, pp. 941 –945, Aug. 1999.
[8] B. Drost et al., “Analog Filter Design Using Ring Oscillator Integrators,” IEEE J. Solid-State Circuits, vol. 47, no. 12, pp. 3120–3129 Oct. 2012.
[9] J. Kim, T. K. Jang, Y. G. Yoon, and S. Cho, “Analysis and design of voltage-controlled oscillator based analog-to-digital converter,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 1, pp. 18–30, Jan. 2010.
[10] M. Park, and M. H. Perrott, “A 78 dB SNDR 87 mW 20 MHz bandwidth continuous-time ΣΔ ADC with VCO-based integrator and quantizer implemented in 0.13 m CMOS,” IEEE J. Solid-State Circuits, vol. 44, no. 12, pp. 3344–3358, Dec. 2009.
[11] K. Reddy, S. Rao, R. Inti, B. Young, A. Elshazly, M. Talegaonkar, and P. Hanumolu, “A 16-mw 78-dB SNDR 10-MHz BW CT DR ADC using residue-canceling VCO-based quantizer.” IEEE J. Solid-State Circuits, vol. 47, no. 12, pp 1–12, Dec. 2012.
[12] G. Taylor and I. Galton, “A mostly digital variable-rate continuous-time ADC ΔΣ modulator,” in Proc. IEEE ISSCC, pp. 298–299, Feb. 2010.
[13] S. Rao, B. Young, A. Elshazly, W. Yin, N. Sasidhar, and P. Hanumolu, “ A 71 dB SFDR open loop VCO-based ADC using 2-level PWM modulation,” in Proc. IEEE Symp. VLSI Circuits Digest of Technical Papers, pp. 270-271, Jun. 2011.
[14] S. Zaliasl et al., “A 12.5-bit 4MHz 13.8mW MASH ΣΔ modulator with multirated VCO-based ADC,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 59, no. 8, pp. 1604–1613, Aug. 2012.
[15] G.W. Roberts, and M. Ali-Bakhshian, “A Brief Introduction to Time-to-Digital and Digital-to-Time Converters,” IEEE Trans. Circuits and Systems-II: Exp. Briefs, vol.57, no.3, pp.153-157, March 2010.
[16] D. I. Porat, “Review of sub-nanosecond time-interval measurements,” Nuclear Science, IEEE Transactions, vol 20, no .5, pp.36-51 , October. 1973.
[17] V. Dhanasekaran et al., “ A Continuous-Time Multi-Bit ΔΣ ADC Using Time Domain Quantizer and Feedback Element,” IEEE J. Solid-State Circuits, vol. 46, no. 3, pp. 639-650, March 2011.
[18] L. Hernandez, and E. Prefasi, “Analog to digital conversion using noise shaping and time encoding,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 55, no. 8, pp. 2026–2037, Aug. 2008.
[19] E. Prefasi, L. Hernandez, S. Paton, A. Wiesbauer, R. Gaggl, and E. Pun, “A 0.1 mm , wide bandwidth continuous-time sigma delta ADC based on a time encoding quantizer in 0.13 um CMOS,” IEEE J. Solid-State Circuits, vol. 44, no. 10, pp. 2745–2754, Oct. 2009.
[20] C. Taillefer, and G. Roberts, “Delta-sigma A/D converter via time-mode signal processing,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 56, no. 9, pp. 1908–1920, Sept. 2009.
[21] M. Straayer, M.H. Perrott, “A 10-bit 20 MHz 38 mW 950 MHz CTRDADC with a 5-bit noise-shaping VCO-based quantizer and DEM circuit in 0.13μm CMOS.” in Proc. IEEE Symp. VLSI Circuits Digest of Technical Papers, pp. 246–247, Jun. 2007.
[22] M. Park, and M. H. Perrott, “A single-slope 80 Ms/s ADC using two-step time-to-digital conversion.” in Proc. IEEE Symp. Circuits and Systems, pp. 1125–1128, May. 2009.
[23] S. Zaliasl et al., “A 77 dB SNDR, 4MHz MASH ΔΣ modulator with a second-stage multi-rate VCO-based quantizer.” in Proc. IEEE Symp. Custom Integrated Circuits Conference (CICC), pp. 1–4, Sept. 2011.
[24] V. Dhanasekaran et al., “A 20 MHz BW 68 dB DR CT ΔΣ ADC based on a multibit time-domain quantizer and feedback element.” in Proc. IEEE Symp. International Solid-State Circuits Conference Digest of Technical Papers (ISSCC), pp. 174–175, Feb. 2009.
[25] P. Gao, X. Xing, J. Cranincks, and G. Gielen, “ Design of an intrinsically linear double-VCO-based ADC with 2nd-order noise shaping.” in Proc. IEEE Symp. Design, Automation & Test in Europe Conference and Exhibition, pp. 1215–1220, Mar. 2012.
[26] T. Jang, J. Kim, Y. Yoon, and S. Cho, “A highly-digital VCO-based analog-to-digital converter using phase interpolator and digital calibration.” IEEE Trans. VLSI Systems, vol. 20, no. 8, pp. 1368–1372, Aug. 2012.
[27] Y. Yoon, S. Park, and S. Cho, “A time-based noise shaping analog-to-digital converter using a gated-ring oscillator.” in Proc. IEEE Symp. MTT-S International Microwave Workshop Intelligent Radio for Future Personal Terminals, pp. 1–4, Aug. 2011.
[28] U. Wismar, D. Wisland, and P. Andreani, “A 0.2V 0.44μW 20KHz Analog to Digital ΣΔ modulator with 57 fJ/conversion FoM.” in Proc. IEEE Symp. European Solid-State Circuits Conference (ESSCIRC) pp. 187–190, Sept. 2006.
[29] Y. Tousi, and E. Afshari, “A miniature 2 mW 4 bit 1.2 GS/s delay-line-based ADC in 65 nm CMOS.” IEEE J. Solid-State Circuits, vol. 46, no. 10, pp. 2312–2325, Oct. 2011.
[30] A. Gelb and W. V. Velde, Multiple-Input Describing Functions and Non-Linear System Design, New York: McGraw-Hill, 1968.
[31] E. Roza, “Analog-to-digital conversion via duty-cycle modulation,” IEEE Trans. Circuits and Systems-II: Exp. Briefs, vol. 44, no. 11, pp. 907–914, Nov. 1997.
[32] M. Tamaddon, and M. Yavari, “An NTF-Enhanced Time-Based Continuous-Time Sigma-Delta Modulator,” Journal of Analog Integrated Circuits and Signal Processing, vol. 85, no. 2, pp. 283-297, Nov. 2015.
[33] M. Tamaddon, and M. Yavari, “A wideband time-based continuous-time sigma-delta modulator with 2nd order noise-coupling based on passive elements,” International Journal of Circuit Theory and Applications, published online, Jun. 2015.