DocumentCode :
626758
Title :
Calculating transfer functions of CT sigma-delta modulators with arbitrary DAC waveforms
Author :
Bruckner, Thomas ; Kiebler, Martin ; Lorenz, M. ; Zorn, Chris ; Mathis, Wolfgang ; Ortmanns, Maurits
Author_Institution :
Inst. of Microelectron., Univ. of Ulm, Ulm, Germany
fYear :
2013
fDate :
19-23 May 2013
Firstpage :
1264
Lastpage :
1267
Abstract :
In this paper, a new method of calculating the transfer functions of continuous-time (CT) sigma-delta modulators is presented. The common approach of calculating the transfer functions is to analyze a discrete-time (DT) equivalent of the CT loop filter together with the CT input filter path. The DT equivalent is most commonly obtained via either the impulse invariant or the modified Z-transformation. This work provides a numerical alternative to these methods, based on DT simulation models, which can be obtained by a previously published method of DT simulating CT sigma-delta modulators, called lifting. This allows incorporating all linear-time-invariant non-idealities, such as finite DC gains and gain-bandwidths in the integrator stages, as well as excess-loop-delay and any waveform shape in the digital-to-analog converter.
Keywords :
digital-analogue conversion; numerical analysis; sigma-delta modulation; CT loop filter; CT sigma-delta modulators; DT simulation models; arbitrary DAC waveforms; continuous-time sigma-delta modulators; digital-to-analog converter; discrete-time analysis; input filter path; integrator stages; modified Z-transformation; transfer functions; Frequency modulation; Noise; Numerical models; Sigma-delta modulation; Transfer functions; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Circuits and Systems (ISCAS), 2013 IEEE International Symposium on
Conference_Location :
Beijing
ISSN :
0271-4302
Print_ISBN :
978-1-4673-5760-9
Type :
conf
DOI :
10.1109/ISCAS.2013.6572083
Filename :
6572083
Link To Document :
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