Error estimates in Second-order Continuous-Time Sigma-Delta modulators

Autor:	Surroop, Dilshad, Combes, Pascal, Martin, Philippe
Rok vydání:	2020
Předmět:	Electrical Engineering and Systems Science - Signal Processing
Druh dokumentu:	Working Paper
Popis:	Continuous-time Sigma-Delta (CT-$\Sigma\Delta$) 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. Comment: IEEE ICASSP 2021
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.12877 Zobrazit plný text záznamu View this record from Arxiv