On the stability analysis of high order sigma-delta modulators

V.M. Mladenov, J.A. Hegt, A.H.M. Roermund, van

Research output: Contribution to journalArticleAcademicpeer-review

9 Citations (Scopus)


In this paper we present an approach for stability analysis of high order Sigma-Delta modulators. The approach is based on a parallel decomposition of the modulator. In this representation, the general N-th order modulator is transformed into decomposition of low order modulators, which interact only through the quantizer function. In the simplest case of the loop filter transfer function with real distinct poles, the low order modulators are N first order ones. The decomposition considered helps to extract the sufficient conditions for stability of the N-th order modulator. They are determined by the stability conditions of each of the low order modulators but shifted with respect to the origin of the quantizer function, because of the influence of all other low order modulators. The approach is generalized for the case of repeated poles of the loop filter transfer function
Original languageEnglish
Pages (from-to)47-55
Number of pages9
JournalAnalog Integrated Circuits and Signal Processing
Issue number1-2
Publication statusPublished - 2003


Dive into the research topics of 'On the stability analysis of high order sigma-delta modulators'. Together they form a unique fingerprint.

Cite this