© 2011

Minimizing Spurious Tones in Digital Delta-Sigma Modulators


Part of the Analog Circuits and Signal Processing book series (ACSP)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Kaveh Hosseini, Michael Peter Kennedy
    Pages 1-6
  3. Kaveh Hosseini, Michael Peter Kennedy
    Pages 7-42
  4. Kaveh Hosseini, Michael Peter Kennedy
    Pages 43-94
  5. Kaveh Hosseini, Michael Peter Kennedy
    Pages 95-115
  6. Kaveh Hosseini, Michael Peter Kennedy
    Pages 117-129
  7. Back Matter
    Pages 131-148

About this book


Digital Delta-Sigma Modulators (DDSMs) are widely used in frequency synthesizers and oversampled digital-to-analog converters. In fact, they are more widely used commercially that their analog counterparts.  This book describes several  DDSM architectures, including multi stage noise shaping (MASH), error feedback modulator (EFM) and single quantizer (SQ)-DDSM modulators, with a focus on predicting and maximizing their cycle lengths. The authors aim to demystify an important aspect of these particular DDSM structures, namely the existence of spurs resulting from the inherent periodicity of DDSMs with constant inputs.  Simulink and MATLAB models and code are presented in Chapters 2–5 to enable the reader to reproduce the results in this work and to explore further. These examples will also be helpful for first-time designers of DDSMs.

  • Provides a clear explanation of the cause of spurious tones in digital delta-sigma modulators; 
  • Includes formulae to predict the positions of spurious tones;
  • Describes sample architectures to remove spurious tones;
  • Presents Simulink and Matlab code to reproduce the examples in the book.


Analog Circuits and Signal Processing Delta-Sigma Data Converters Delta-Sigma Modulators Digital Delta-Sigma Modulators Error Feedback Modulator Frequency Synthesizers Multi Stage Noise Shaping Oversampled digital-to-analog converters Single Quantizer Modulator Spurious tones

Authors and affiliations

  1. 1.Cypress SemiconductorCorkIreland
  2. 2.University College CorkCorkIreland

Bibliographic information