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Continuous-Time Delta-Sigma Modulators at High Sampling Rates

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High Speed and Wide Bandwidth Delta-Sigma ADCs

Abstract

This chapter describes the design of a continuous-time delta-sigma (CTΔΣ) modulator that can achieve a 125 MHz signal bandwidth (BW) with a 70 dB dynamic range (DR) in 45 nm CMOS. As explained in the previous chapter, various system-level non-idealities (noise, non-linearity, metastability and excess loop delay (ELD)), will limit its performance. Especially for a modulator which targets a wide bandwidth, these limitations pose a major challenge.

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Notes

  1. 1.

    MASH \(\Delta \Sigma \) modulators offer another route to increase signal BW [7]. However, the total output signal BW still depends on the signal BW of a single-loop modulator. Although this work focuses on extending the signal BW of a single-order modulator, the results can also be applied to increase the signal BW of MASH modulators.

  2. 2.

    CLK Q signal in Fig. 3.27b and RST signal in Fig. 4.4 represent the same signal.

References

  1. A. Hart, S. Voinigescu, A 1 GHz bandwidth low-pass \(\Delta \Sigma \) ADC with 20–50 GHz adjustable sampling rate. IEEE J. Solid-State Circuits 44(5), 1401–1414 (2009)

    Article  Google Scholar 

  2. J.A. Cherry, W.M. Snelgrove, Continuous-Time Delta-Sigma Modulators for High-Speed A/D Conversion: Theory, Practice and Fundamental Performance Limits (Kluwer Academic, Norwell, 2000)

    Google Scholar 

  3. J. Arias et al., A 32-mW 320-MHz continuous-time complex delta-sigma ADC for multi-mode wireless-LAN receivers. IEEE J. Solid-State Circuits 41(2), 339–351 (2006)

    Article  Google Scholar 

  4. L. Breems, R. Rutten, R. van Veldhoven, G. van der Weide, A 56 mW continuous-time quadrature cascaded \(\Sigma \Delta \) modulator with 77 dB DR in a near zero-IF 20 MHz band. IEEE J. Solid-State Circuits 42(12), 2696–2705 (2007)

    Article  Google Scholar 

  5. S. Paton et al., A 70-mW 300-MHz CMOS continuous-time \(\Sigma \Delta \) ADC with 15-MHz bandwidth and 11 bits of resolution. IEEE J. Solid-State Circuits 39(7), 1056–1063 (2004)

    Article  Google Scholar 

  6. M. Ortmanns, F. Gerfers, Continuous-Time Sigma-Delta A/D Conversion, Fundamentals, Error Correction and Robust Implementations (Springer, Berlin/Heidelberg, 2005)

    Google Scholar 

  7. S. Norsworthy, R. Schreier, G. Temes, Delta-Sigma Data Converters (Theory, Design, and Simulation) (Wiley, New York, 1996)

    Book  Google Scholar 

  8. J. Silva, U. Moon, J. Steensgaard, G. Temes, Wideband low-distortion delta-sigma ADC topology. Electron. Lett. 37(12), 737–738 (2001)

    Article  Google Scholar 

  9. G. Mitteregger et al., A 20-mW 640-MHz CMOS continuous-time ADC With 20-MHz signal bandwidth, 80-dB dynamic range and 12-bit ENOB. IEEE J. Solid-State Circuits 41(12), 2641–2649 (2006)

    Article  Google Scholar 

  10. P. Sankar, S. Pavan, Analysis of integrator nonlinearity in a class of continuous-time delta-sigma modulators. IEEE Trans. Circuits Syst. II Express Briefs 54(12), 1125–1129 (2007)

    Article  Google Scholar 

  11. L. Breems, E. van der Zwan, J. Huijsing, Design for optimum performance-to-power ratio of a continuous-time \(\Sigma \Delta \) modulator, in Proceedings of the 25th European Solid-State Circuits Conference (ESSCIRC’99), Duisburg, Sept 1999, pp. 318–321

    Google Scholar 

  12. R.H.M. van Veldhoven, A.H.M. van Roermund, Robust Sigma Delta Converters and Their Application in Low-Power Highly-Digitized Flexible Receivers (Springer, Dordrecht, 2011)

    Book  Google Scholar 

  13. P. Gray, P. Hurst, S. Lewis, R. Meyer, Analysis and Design of Analog Integrated Circuits (Wiley, New York, 2001)

    Google Scholar 

  14. M. Ortmanns, F. Gerfers, Y. Manoli, Compensation of finite gain-bandwidth induced errors in continuous-time sigma-delta modulators. IEEE Trans. Circuits Syst. I Regul. Pap. 51(6), 1088–1099 (2004)

    Article  Google Scholar 

  15. J. Kauffman, P. Witte, J. Becker, M. Ortmanns, An 8mW 50MS/s CT\(\Delta \Sigma \) modulator with 81dB SFDR and digital background DAC linearization, in IEEE International 2011 Solid-State Circuits Conference Digest of Technical Papers (ISSCC), San Francisco, Feb 2011, pp. 1472–474

    Google Scholar 

  16. R. van de Plassche, CMOS Integrated Analog-to-Digital and Digital-to-Analog Converters (Kluwer Academic, Dordrecht, 2003)

    Book  MATH  Google Scholar 

  17. P.M. Figueiredo, Comparator metastability in the presence of noise. IEEE Trans. Circuits Syst. 60(5), 1286–1299

    Google Scholar 

  18. P. Nuzzo, F. De Bernardinis, P. Terreni, G. Van der Plas, Noise analysis of regenerative comparators for reconfigurable ADC architectures. IEEE Trans. Circuits Syst. I Regul. Pap. 55(6), 1441–1454 (2008)

    Article  MathSciNet  Google Scholar 

  19. J.A. Cherry, W.M. Snelgrove, Continuous-Time Delta-Sigma Modulators for High-Speed A/D Conversion: Theory, Practice and Fundamental Performance Limits (Kluwer Academic, Norwell, 2000)

    Google Scholar 

  20. J. Silva et al., Digital techniques for improved \(\Delta \Sigma \) data conversion, in Proceedings of the IEEE 2002 Custom Integrated Circuits Conference, Orlando, 2002, pp. 183–190

    Google Scholar 

  21. R. Baird, T. Fiez, Linearity enhancement of multibit \(\Delta \Sigma \) A/D and D/A converters using data weighted averaging. IEEE Trans. Circuits Syst. II Analog Digit. Signal Process. 42(12), 753–762 (1995)

    Article  Google Scholar 

  22. L. Risbo et al., Digital approaches to ISI-mitigation in high-resolution oversampled multi-level D/A converters. IEEE J. Solid-State Circuits 46(12), 2892–2903 (2011)

    Article  Google Scholar 

  23. R. van Veldhoven, P. Nuijten, P. van Zeijl, The effect of clock jitter on the DR of \(\Sigma \Delta \) modulators, in Proceedings of the 2006 IEEE International Symposium on Circuits and Systems, Island of Kos, May 2006, p. 4

    Google Scholar 

  24. J. Cherry, W. Snelgrove, Clock jitter and quantizer metastability in continuous-time delta-sigma modulators. IEEE Trans. Circuits Syst. II Analog Digit. Signal Process. 46(6), 661–676 (1999)

    Article  Google Scholar 

  25. S. Yan, E. Sanchez-Sinencio, A continuous-time sigma-delta modulator with 88-dB dynamic range and 1.1-MHz signal bandwidth. IEEE J. Solid-State Circuits 39(1), 75–86 (2004)

    Google Scholar 

  26. E. van der Zwan, E. Dijkmans, A 0.2-mW CMOS \(\Sigma \Delta \) modulator for speech coding with 80 dB dynamic range. IEEE J. Solid-State Circuits 31(12), 1873–1880 (1996)

    Google Scholar 

  27. S. Pavan, N. Krishnapura, R. Pandarinathan, P. Sankar, A power optimized continuous-time \(\Delta \Sigma \) ADC for audio applications. IEEE J. Solid-State Circuits 43(2), 351–360 (2008)

    Article  Google Scholar 

  28. N. Pavlovic, J. Bergervoet, A 5.3GHz digital-to-time-converter-based fractional-N all-digital PLL, in IEEE International 2011 Solid-State Circuits Conference Digest of Technical Papers (ISSCC), San Francisco, Feb 2011, pp. 54–56

    Google Scholar 

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Bolatkale, M., Breems, L.J., Makinwa, K.A.A. (2014). Continuous-Time Delta-Sigma Modulators at High Sampling Rates. In: High Speed and Wide Bandwidth Delta-Sigma ADCs. Analog Circuits and Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-319-05840-5_3

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  • DOI: https://doi.org/10.1007/978-3-319-05840-5_3

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