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

Abstract : Continuous-time Sigma-Delta (CT-ΣΔ) modulators are over-sampling 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 ΣΔ 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-ΣΔ 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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https://hal-mines-paristech.archives-ouvertes.fr/hal-03448487
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Submitted on : Thursday, November 25, 2021 - 10:46:19 AM
Last modification on : Saturday, November 27, 2021 - 3:05:47 AM

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Dilshad Surroop, Pascal Combes, Philippe Martin. Error Estimates in Second-Order Continuous-Time Sigma-Delta Modulators. ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Jun 2021, Toronto, Canada. pp.5445-5448, ⟨10.1109/ICASSP39728.2021.9413672⟩. ⟨hal-03448487⟩

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