Nonlinear programming approach for design of high performance sigma-delta modulators

V.M. Mladenov, G. Tsenov

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review


In this chapter we present a nonlinear programming approach to the design of third-order sigma–delta modulators with respect to maximization of the signal-to-noise ratio, taking into account the modulator’s stability. The proposed approach uses an analytic formula for calculation of the signal-to-noise ratio and an analytic formula for stability of the modulator. Thus the goal function becomes maximization of the signal-to-noise ratio and constraints come from stability issues and bounds of the modulator noise transfer function coefficients. The results are compared with the optimal third-order modulator design provided by DStoolbox. The proposed procedure has low computation requirements. It is described for third-order modulators with one real pole of the loop filter transfer function and can be extended easily and generalized to higher-order modulators.

Original languageEnglish
Title of host publicationRecent advances in nonlinear dynamics and synchronization.
Subtitle of host publicationwith selected applications in electrical engineering, neurocomputing, and transportation
EditorsK. Kyamaka, W. Mathis, R. Stoop, J.C. Chedjou, Z. Li
Place of PublicationBerlin
Number of pages13
ISBN (Electronic)978-3-319-58996-1
ISBN (Print)978-3-319-58995-4
Publication statusPublished - 2018

Publication series

NameStudies in Systems, Decision and Control
ISSN (Print)2198-4182


  • Analog-to-digital conversion
  • Digital signal processing
  • Sigma-delta modulators
  • Signal-to-noise ratio
  • Stability


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