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Bandpass Sigma Delta Modulators

Stability Analysis, Performance and Design Aspects

  • Book
  • © 1999

Overview

Authors:
  1. Jurgen Engelen

    1. Broadcom Corp., Irvine, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Rudy Plassche

    1. Broadcom Netherlands B.V., Bunnik, The Netherlands

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Introduction

    • Jurgen van Engelen, Rudy van de Plassche
    Pages 1-3

  3. Quantization and Sampling

    • Jurgen van Engelen, Rudy van de Plassche
    Pages 5-17

  4. Noise Shaping Concepts

    • Jurgen van Engelen, Rudy van de Plassche
    Pages 19-35

  5. Performance

    • Jurgen van Engelen, Rudy van de Plassche
    Pages 37-58

  6. Stability

    • Jurgen van Engelen, Rudy van de Plassche
    Pages 59-105

  7. Design of Continuous Time Bandpass SDMS

    • Jurgen van Engelen, Rudy van de Plassche
    Pages 107-119

  8. SDM Implementations

    • Jurgen van Engelen, Rudy van de Plassche
    Pages 121-154

  9. Conclusion and Discussion

    • Jurgen van Engelen, Rudy van de Plassche
    Pages 155-156

  10. Back Matter

    Pages 157-187
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Keywords

About this book

Sigma delta modulation has become a very useful and widely applied technique for high performance Analog-to-Digital (A/D) conversion of narrow band signals. Through the use of oversampling and negative feedback, the quantization errors of a coarse quantizer are suppressed in a narrow signal band in the output of the modulator. Bandpass sigma delta modulation is well suited for A/D conversion of narrow band signals modulated on a carrier, as occurs in communication systems such as AM/FM receivers and mobile phones.
Due to the nonlinearity of the quantizer in the feedback loop, a sigma delta modulator may exhibit input signal dependent stability properties. The same combination of the nonlinearity and the feedback loop complicates the stability analysis. In Bandpass Sigma Delta Modulators, the describing function method is used to analyze the stability of the sigma delta modulator. The linear gain model commonly used for the quantizer fails to predict small signal stability properties and idle patterns accurately.
In Bandpass Sigma Delta Modulators an improved model for the quantizer is introduced, extending the linear gain model with a phase shift. Analysis shows that the phase shift of a sampled quantizer is in fact a phase uncertainty. Stability analysis of sigma delta modulators using the extended model allows accurate prediction of idle patterns and calculation of small-signal stability boundaries for loop filter parameters. A simplified rule of thumb is derived and applied to bandpass sigma delta modulators.
The stability properties have a considerable impact on the design of single-loop, one-bit, high-order continuous-time bandpass sigma delta modulators. The continuous-time bandpass loop filter structure should have sufficient degrees of freedom to implement the desired (small-signal stable) sigma delta modulator behavior.
Bandpass Sigma Delta Modulators will be of interest to practicing engineers and researchers in the areas of mixed-signal and analog integrated circuit design.

Authors and Affiliations

  • Broadcom Corp., Irvine, USA

    Jurgen Engelen

  • Broadcom Netherlands B.V., Bunnik, The Netherlands

    Rudy Plassche

Bibliographic Information

  • Book Title: Bandpass Sigma Delta Modulators

  • Book Subtitle: Stability Analysis, Performance and Design Aspects

  • Authors: Jurgen Engelen, Rudy Plassche

  • DOI: https://doi.org/10.1007/978-1-4757-4586-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1999

  • Hardcover ISBN: 978-0-7923-8698-8Published: 31 October 1999

  • Softcover ISBN: 978-1-4419-5116-8Published: 06 December 2010

  • eBook ISBN: 978-1-4757-4586-3Published: 09 March 2013

  • Edition Number: 1

  • Number of Pages: XVI, 188

  • Topics: Circuits and Systems, Electrical Engineering, Computer-Aided Engineering (CAD, CAE) and Design

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