Error Estimates in Second-Order Continuous-Time Sigma-Delta Modulators

Dilshad Surroop; Pascal Combes; Philippe Martin

ICASSP 2021accepted0 citations

Error Estimates in Second-Order Continuous-Time Sigma-Delta Modulators

Dilshad Surroop, Pascal Combes, Philippe Martin

Abstract

Continuous-time Sigma-Delta (CT-ΔΣ) 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 ΔΣ 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-ΔΣ 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.

BibTeX

@inproceedings{icassp2021_errorestimatesin,
  title = {Error Estimates in Second-Order Continuous-Time Sigma-Delta Modulators},
  author = {Dilshad Surroop and Pascal Combes and Philippe Martin},
  booktitle = {ICASSP 2021},
  year = {2021}
}