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A Multiplierless DC-Blocker for Single-Bit Sigma-Delta Modulated Signals


The DC content in single-bit domain is both undesirable and hard to remove. In this paper we propose a single-bit multiplierless DC-blocker structure. The input is assumed to be sigma-delta modulated bitstream. This DC-blocker is designed using a delta modulator topology with a sigma-delta modulator (SDM) embedded in its feedback path. Its performance is investigated in terms of the overall signal-to-noise ratio, the effectiveness of DC removal, and the stability. The proposed structure is efficient for hardware realisation.


  1. 1.

    Wong PW: Fully sigma-delta modulation encoded FIR filters. IEEE Transactions on Signal Processing 1992,40(6):1605–1610. 10.1109/78.139273

    Article  Google Scholar 

  2. 2.

    Fujisaka H, Kurata R, Sakamoto M, Morisue M: Bit-stream signal processing and its application to communication systems. IEE Proceedings: Circuits, Devices and Systems 2002,149(3):159–166. 10.1049/ip-cds:20020396

    Google Scholar 

  3. 3.

    Aziz PM, Sorensen HV, Van der Spiegel J: An overview of sigma-delta converters. IEEE Signal Processing Magazine 1996,13(1):61–84. 10.1109/79.482138

    Article  Google Scholar 

  4. 4.

    Thompson AC, O'Shea P, Hussain ZM, Steele BR: Efficient single-bit ternary digital filtering using sigma-delta modulator. IEEE Signal Processing Letters 2004,11(2 part 2):164–166.

    Article  Google Scholar 

  5. 5.

    Kershaw SM, Sandler MB: Digital signal processing on a sigma-delta bitstream. IEE Colloquium on Oversampling Techniques and Sigma-Delta Modulation, 1994, London, UK 9/1–9/8.

    Google Scholar 

  6. 6.

    Farrell R, Feely O: Application of non-linear analysis techniques to sigma-delta modulators. IEE Colloquium on Signals Systems and Chaos, 1997, London, UK 4/1–4/6.

    Google Scholar 

  7. 7.

    Sadik AZ, Hussain ZM, O'Shea P: Adaptive algorithm for ternary filtering. Electronics Letters 2006,42(7):57–58.

    Article  Google Scholar 

  8. 8.

    Dick C, Harris F: FPGA signal processing using sigma-delta modulation. IEEE Signal Processing Magazine 2000,17(1):20–35. 10.1109/79.814644

    Article  Google Scholar 

  9. 9.

    Gray RM: Quantization noise spectra. IEEE Transactions on Information Theory 1990,36(6):1220–1244. 10.1109/18.59924

    Article  Google Scholar 

  10. 10.

    Norsworthy SR, Schreier R, Temes GC: Delta-Sigma Data Converters: Theory, Design and Simulation. IEEE Press, New York, NY, USA; 1997.

    Google Scholar 

  11. 11.

    Condon E, Feely O: Nonlinear dynamics of a nonideal sigma-delta modulator with periodic input. Proceedings of IEEE International Symposium on Circuits and Systems (ISCAS '04), May 2004, Vancouver, BC, Canada 4: 804–807.

    Google Scholar 

  12. 12.

    Güntürk CS, Lagarias JC, Vaishampayan VA: On the robustness of single-loop sigma-delta modulation. IEEE Transactions on Information Theory 2001,47(5):1735–1744. 10.1109/18.930914

    MathSciNet  Article  Google Scholar 

  13. 13.

    Candy JC, Benjamin OJ: Structure of quantization noise from signma-delta modulation. IEEE Transactions on Communications 1981,29(9):1316–1323. 10.1109/TCOM.1981.1095151

    Article  Google Scholar 

  14. 14.

    Gray RM: Spectral analysis of quantization noise in a single-loop sigma-delta modulator with DC input. IEEE Transactions on Communications 1989,37(6):588–599. 10.1109/26.31143

    Article  Google Scholar 

  15. 15.

    Wang H: On the stability of third-order sigma-delta modulation. Proceedings of IEEE International Symposium on Circuits and Systems (ISCAS '93), May 1993, Chicago, Ill, USA 2: 1377–1380.

    Google Scholar 

  16. 16.

    Martelli M: Discrete Dynamical Systems and Chaos. Longman Scientific and Technical, London, UK; 1992.

    Google Scholar 

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Correspondence to Amin Z. Sadik.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Sadik, A.Z., Hussain, Z.M. & O'Shea, P. A Multiplierless DC-Blocker for Single-Bit Sigma-Delta Modulated Signals. EURASIP J. Adv. Signal Process. 2007, 018361 (2006).

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  • Information Technology
  • Quantum Information
  • Feedback Path
  • Hardware Realisation
  • Modulator Topology