Analysis of effect of feedback current variation in CT Delta-Sigma modulators with Gm-C integrators

Research output: Contribution to journalArticle

Abstract

In design of Continuous-time Delta-Sigma modulators, the feedback DAC (Digital-to-Analog Converter) is typically implemented with a switched current circuit. It is desired that these DAC current circuits provide constant current across clock cycles for each modulator output level. However, when Delta-Sigma modulators are implemented with Gm-C integrators, the DAC feedback current circuits are directly connected to the integrator outputs that may have high-swing voltages and this results in varying DAC feedback current. In this paper, we analyze the effect of feedback current variation caused by high-swing integrator output voltages in Delta-Sigma modulators built with Gm-C integrators. It is shown that feedback current variation may significantly degrade the performance of Delta-Sigma modulators mainly due to the non-linearity of current variation dependence on the integrator output voltage, while mismatch of current variation has minor effect.

Original languageEnglish (US)
Pages (from-to)467-476
Number of pages10
JournalAnalog Integrated Circuits and Signal Processing
Volume93
Issue number3
DOIs
StatePublished - Dec 1 2017

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Modulators
Digital to analog conversion
Feedback
Networks (circuits)
Electric potential
Clocks

Keywords

  • Continuous-time
  • Delta-Sigma modulators
  • Feedback current variation
  • Gm-C integrators
  • Mismatch
  • Non-linearity

Cite this

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title = "Analysis of effect of feedback current variation in CT Delta-Sigma modulators with Gm-C integrators",
abstract = "In design of Continuous-time Delta-Sigma modulators, the feedback DAC (Digital-to-Analog Converter) is typically implemented with a switched current circuit. It is desired that these DAC current circuits provide constant current across clock cycles for each modulator output level. However, when Delta-Sigma modulators are implemented with Gm-C integrators, the DAC feedback current circuits are directly connected to the integrator outputs that may have high-swing voltages and this results in varying DAC feedback current. In this paper, we analyze the effect of feedback current variation caused by high-swing integrator output voltages in Delta-Sigma modulators built with Gm-C integrators. It is shown that feedback current variation may significantly degrade the performance of Delta-Sigma modulators mainly due to the non-linearity of current variation dependence on the integrator output voltage, while mismatch of current variation has minor effect.",
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AB - In design of Continuous-time Delta-Sigma modulators, the feedback DAC (Digital-to-Analog Converter) is typically implemented with a switched current circuit. It is desired that these DAC current circuits provide constant current across clock cycles for each modulator output level. However, when Delta-Sigma modulators are implemented with Gm-C integrators, the DAC feedback current circuits are directly connected to the integrator outputs that may have high-swing voltages and this results in varying DAC feedback current. In this paper, we analyze the effect of feedback current variation caused by high-swing integrator output voltages in Delta-Sigma modulators built with Gm-C integrators. It is shown that feedback current variation may significantly degrade the performance of Delta-Sigma modulators mainly due to the non-linearity of current variation dependence on the integrator output voltage, while mismatch of current variation has minor effect.

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