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Oversampled Analog-to-Digital Converters

  • Shujaat Nadeem
  • Charles G. Sodini

Abstract

Oversampled Analog-to-Digital conversion has been demonstrated to be an effective technique for high resolution analog-to-digital (A/D) conversion that is tolerant of process imperfections. The design of analog modulators for oversampled analog-to-digital converters can be divided into two main categories, the multistage or cascaded modulator (MASH) and the single loop modulators. This paper gives an overview of the oversampled Analog-to-Digital modulator architectures and their tradeoffs. The design and analysis of a stable N-th order single loop modulator and of multistage modulator topologies is covered. A comparative analysis of these two dominant architectures is also presented, followed by a brief look at the future directions of oversampled converters.

Keywords

Multistage Architecture Multistage Modulator Signal Transfer Function Modulator Architecture Finite Gain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    D.A. Hodges, P.R. Gray, and R.W. Brodersen, “Potential of MOS Technologies for Analog Integrated Circuits”, IEEE J. of Solid-State Circuits, vol. SC-13, pp. 285–294, June 1978.Google Scholar
  2. [2]
    J.C. Candy, “Decimation for sigma delta modulation”, IEEE Transactions on Communications, vol. COM-34, pp. 72–76, Jan. 1986.Google Scholar
  3. [3]
    J.R. Fox and G.J. Garrison, “Analog to Digital Conversion using Sigma-Delta Modulation and Digital Signal Processing”, in Proceedings MIT VLSI Conference, pp. 101–112, Jan. 1982.Google Scholar
  4. [4]
    M.W. Hauser and R.W. Brodersen, “Circuit and Technology Considerations for MOS Delta-Sigma A/D Converters”,’ in Proceedings 1986 International Symposium on Circuits and Systems, pp. 1310–1315, May 1986.Google Scholar
  5. [5]
    H. Inose, Y. Yasuda, and J. Murakami, “A Telemetering System by Code Modulation AI-Modulation”, IRE Trans. Space Electronics and Telemetry, vol.SET-8, pp. 204–209, Sept. 1962.Google Scholar
  6. [6]
    J.C. Candy, “The Structure of Quantization Noise from Sigma-Delta Modulation”, IEEE Transactions on Communications, vol.COM-29, pp.1316–1323, Sept. 1981.Google Scholar
  7. [7]
    W.R. Bennett, “Spectra of Quantized Signals”, Bell System Technical Journal, Vol. 27, pp. 446–472, July 1948.MathSciNetGoogle Scholar
  8. [8]
    D.J. Goodman, “Delta Modulation Granular Quantizing Noise”, Bell System Technical Journal, pp. 1197–1218, May 1969.Google Scholar
  9. [9]
    J.W. Scott, W. L. Lee, C.H. Giancarlo, and C.G. Sodini, “CMOS Implementation of an Immediately Adaptive Delta Modulator”, IEEE Journal of Solid-State Circuits, vol. SC-21, pp. 1088–1095, Dec. 1986.Google Scholar
  10. [10]
    R.M. Gray, “Oversampled Sigma-Delta Modulation”, IEEE Transactions on Communications, vol. COM-35, pp. 481–489, May 1987.Google Scholar
  11. [11]
    J.C. Candy, “A Use of Double Integration in Sigma Delta Modulation”, IEEE Transactions on Communications, vol.COM-33, pp.249–258, March 1985.Google Scholar
  12. [12]
    R. Koch and B. Heise, “A 120 kHz Sigma-Delta A/D Converter”, in ISSCC Digest of Technical Papers, pp. 138–141, Feb. 1986.Google Scholar
  13. [13]
    B.E. Boser and B.A. Wooley, “Design of a CMOS Second-Order Sigma-Delta Modulator”, in ISSCC Digest of Technical Papers, pp. 258–259, Feb. 1988.Google Scholar
  14. [14]
    S.H. Ardalan and J.J. Paulos, “Stability analysis of high-order sigma-delta modulators”, in Proceedings 1986 International Symposium on Circuits and Systems, pp. 715–719, May 1986.Google Scholar
  15. [15]
    Y. Matsuya, K. Uchimura, A. Iwata, T. Kobayashi, M. Ishikawa, and T. Yoshitome, “A 16-bit Oversampling A-to-D Conversion Technology using Triple Integration Noise Shaping”, IEEE Journal of Solid-State Circuits, vol.SC-22, pp. 921–929, Dec. 1987.Google Scholar
  16. [16]
    M.J. Hawksford, “N-th order recursive sigma-ADC machinery at the analogue-digital gateway”, in Audio Engineering Society Convention, May 1985.Google Scholar
  17. [17]
    T. Hayashi, Y. Inabe, K. Uchimura, and T. Kimura, “A Multistage Delta-Sigma Modulator without Double Integration Loop”, in ISSCC Digest of Technical Papers, pp. 182–183, Feb. 1986.Google Scholar
  18. [18]
    W.L. Lee and C.G. Sodini, “A topology for higher order interpolative coders”, in Proceedings 1987 International Symposium on Circuits and Systems, pp. 459–462, May 1987.Google Scholar
  19. [19]
    K.H. Chao, S. Nadeem, W.L. Lee, and C.G. Sodini, “A High Order Topology for Interpolative Modulators for Oversampling A/D Converters”, IEEE Transactions on Circuits and Systems, Vol. 37, pp. 309–318, March 1990.CrossRefGoogle Scholar
  20. [20]
    K.H. Chao, Limitations of Interpolative Modulators for Oversampling A/D Converters. Master’s thesis, Massachusetts Institute of Technology, Cambridge, MA, 1988.Google Scholar
  21. [21]
    B.E. Boser and B.A. Wooley, “Quantization error spectrum of sigma-delta modulators”, in Proceedings 1988 International Symposium on Circuits and Systems, June 1988.Google Scholar
  22. [22]
    S. Nadeem, Design and Implementation of Fourth Order Modulator For 16-bit Oversampled A/D Converter. Master’s thesis, Massachusetts Institute of Technology, Cambridge, MA, 1989.Google Scholar
  23. [23]
    W.L. Lee, A Novel Higher Order Interpolative Modulator Topology for High Resolution Oversampling A/D Converters. Master’s thesis, Massachusetts Institute of Technology, Cambridge, MA, 1987.Google Scholar
  24. [24]
    D. Welland, B.P.D. Signore, and E.J. Swanson, “A Stereo 16-Bit Delta-Sigma A/D Converter for Digital Audio”, in 85-th Convention of the Audio Engineering Society, pp. 0, Nov. 1988.Google Scholar
  25. [25]
    P. Ferguson, A. Ganesan, and R. Adams, “One Bit Higher Order Sigma-Delta A/D Converters”, in IEEE Proceedings of the International Symposium on Circuits and Systems, pp. 890–893, 1990.CrossRefGoogle Scholar
  26. [26]
    P. Ferguson, A. Ganesan, R. Adams, S. Vincelette, R. Libert, A. Volpe, D. Andreas, A. Charpentier, and J. Dattorro, “An 18-bit 20 kHz Dual Sigma-Delta A/D Converter”, in IEEE International Solid-State Circuits Conference, pp. 890–893, 1991.Google Scholar
  27. [27]
    S.H. Ardalan and J.J. Paulos, “An analysis of nonlinear behavior in delta-sigma modulators”, IEEE Transactions on Circuits and Systems, vol.CAS-34, pp. 593–603, June 1987.Google Scholar
  28. [28]
    S. Hein and A. Zakhor, “Lower Bounds on the MSE of the Single and Double Loop Sigma Delta Modulators”, in IEEE International Symposium on Circuits and Systems, pp. 1751–1755, May 1990.CrossRefGoogle Scholar
  29. [29]
    S. Hein and A. Zakhor, “On the Stability of Interpolative Sigma Delta Modulators”, in IEEE International Symposium on Circuits and Systems, pp. 1621–1624, June 1991.Google Scholar
  30. [30]
    L. Longo and M. Copeland, “A 13 bit ISDN-band Oversampled ADC Using Two-Stage Third Order Noise Shaping”, IEEE Custom IC Conference, pp.21.2.1–21. 2. 4, Jan. 1988.Google Scholar
  31. [31]
    B.P. Brandt and B.A. Wooley, “A CMOS Oversampling A/D Converter With 12-Bit Resolution at Conversion Rates Above 1 MHz”, IEEE Solid State Circuits Conference, Feb. 1991.Google Scholar
  32. [32]
    R. Schreier and W.M. Snelgrove, “Bandpass Sigma-Delta Modulation”, in Electronic Letters, pp. 1560–1561, Nov. 1989.Google Scholar
  33. [33]
    R. Schreier and W.M. Snelgrove, “Decimation for Bandpass Sigma-Delta Analog-to-Digital Conversion”, in IEEE International Symposium on Circuits and Systems, pp. 1801–1804, May 1990.CrossRefGoogle Scholar
  34. [34]
    L.A. Williams III and B.A. Wooley, “Third-Order Cascaded Sigma-Delta Modulators”, IEEE Transactions on Circuits and Systems, pp. 489–497, May 1991.Google Scholar
  35. [35]
    D.B. Ribner, R.D. Baertsch, S.L. Garverick, D.T. McGrath, J.E. Krisciunas, and T. Fuji, “16b Third-Order Sigma Delta Modulator with Reduced Sensitivity to Nonidealities”, in IEEE Solid-State Circuits Conference, pp.66–6’7, Feb. 1991.Google Scholar
  36. [36]
    M. Rebeschini, N.R.V. Bavel, P. Rakers, R. Greene, J. Caldwell, and J.R. Haug, “A 16-b 160-kHz CMOS A/D Converter Using Sigma-Delta Modulation”, in IEEE Journal of Solid-State Circuits, pp. 431–440, Apr. 1990.Google Scholar
  37. [37]
    B.E. Boser and B.A. Wooley, “The Design of Sigma-Delta Modulation Analog-to-Digital Converters”, in IEEE Journal of Solid-State Circuits, Dec. 1988.Google Scholar
  38. [38]
    S. Hein and A. Zakhor, “Optimal decoding for data acquisition applications of Sigma Delta modulators”, Apr. 1991. U.S. Patent Application No. 07/694,294.Google Scholar
  39. [39]
    S. Hein and A. Zakhor, “Optimal decoding for data acquisition applications of Sigma Delta modulators”, Feb. 1993. Accepted for publication in IEEE Transactions on Signal Processing. Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Shujaat Nadeem
    • 1
  • Charles G. Sodini
    • 1
  1. 1.Department of Electrical Engineering and Computer ScienceMassachusetts Institute of TechnologyCambridgeUSA

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