%0 Conference Paper %1 4252558 %A Anders, J. %A Mathis, W. %B 2007 IEEE International Symposium on Circuits and Systems %D 2007 %K modulator Sigma Delta stability from:jens.anders %P 9-12 %R 10.1109/ISCAS.2007.378130 %T On the modeling and the stability of continuous-time ΣΔ-Modulators %U https://ieeexplore.ieee.org/document/4252558/ %X In this paper an exact state equivalency including the input signal between continuous-time (CT) ΣΔ modulators and their discrete-time (DT) counterparts is derived. The equivalency is then generalized to include the very important non-ideal effect of excess loop-delay, that plays a crucial role in continuous-time modulators. With this new state-space equivalency, an efficient tool for stability analysis based on continuous-time describing functions is introduced. In the end, it is explained how these findings can be used for a MATLAB toolbox for continuous-time modulators that complements the well-known Schreier-toolbox for discrete-time modulators.

@inproceedings{4252558, abstract = {In this paper an exact state equivalency including the input signal between continuous-time (CT) ΣΔ modulators and their discrete-time (DT) counterparts is derived. The equivalency is then generalized to include the very important non-ideal effect of excess loop-delay, that plays a crucial role in continuous-time modulators. With this new state-space equivalency, an efficient tool for stability analysis based on continuous-time describing functions is introduced. In the end, it is explained how these findings can be used for a MATLAB toolbox for continuous-time modulators that complements the well-known Schreier-toolbox for discrete-time modulators.}, added-at = {2020-10-12T15:57:04.000+0200}, author = {{Anders}, J. and {Mathis}, W.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2e893bbd2984e9681ca13161938bcca28/iis}, booktitle = {2007 IEEE International Symposium on Circuits and Systems}, doi = {10.1109/ISCAS.2007.378130}, interhash = {59d14b047b423f0c4f3cdcb3ea73ef0a}, intrahash = {e893bbd2984e9681ca13161938bcca28}, issn = {2158-1525}, keywords = {modulator Sigma Delta stability from:jens.anders}, month = may, pages = {9-12}, timestamp = {2020-10-12T13:57:04.000+0200}, title = {On the modeling and the stability of continuous-time ΣΔ-Modulators}, url = {https://ieeexplore.ieee.org/document/4252558/}, year = 2007 }