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.
%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
}
