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Poster
Error estimate in second-order continuous-time sigma-delta modulators
- Citation Author(s):
- Submitted by:
- Dilshad Surroop
- Last updated:
- 22 June 2021 - 3:25am
- Document Type:
- Poster
- Document Year:
- 2021
- Event:
- Presenters:
- Dilshad Surroop
- Paper Code:
- SPTM-17.6
- Categories:
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Continuous-time Sigma-Delta modulators are oversampling Analog-to-Digital converters that may provide higher sampling rates and lower power consumption than their discrete counterpart. Whereas approximation errors are established for high-order discrete time Sigma-Delta modulators, theoretical analysis of the error between the filtered output and the input remain scarce. This paper presents a general framework to study this error: under regularity assumptions on the input and the filtering kernel, we prove for a second-order CT-Sigma-Delta that the error estimate may be in $o(1/N^2)$, where N is the oversampling ratio. The whole theory is validated by numerical experiments.
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