A Bandwidth and Resolution Configurable Delta-Sigma Modulator

CHEN Wei, LI Jian, WEI Cong

Integrated Circuits and Embedded Systems ›› 0

Integrated Circuits and Embedded Systems ›› 0 DOI: 10.20193/j.ices2097-4191.2026.0016

A Bandwidth and Resolution Configurable Delta-Sigma Modulator

  • CHEN Wei, LI Jian, WEI Cong
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Abstract

This paper presents a bandwidth and resolution-configurable discrete-time Delta-Sigma modulator based on switched-capacitor circuits. To address the diverse requirements for measurement precision, signal bandwidth, and dynamic range in various industrial applications, the modulator features a reconfigurable loop filter architecture that can switch between third-order and fourth-order modes via an external control signal; concurrently, the system enables the collaborative adjustment of signal bandwidth and resolution by adapting different oversampling ratios (OSRs). System modeling and simulations were conducted using MATLAB (OSR=200). Regarding stability, the third-order mode exhibits more relaxed stability conditions with a Maximum Stable Amplitude (MSA) of -4.4 dBFS—an optimization of 15.2 dB over the fourth-order mode (-19.6 dBFS)—making it suitable for large-amplitude signal processing. In terms of resolution, the fourth-order mode demonstrates superior noise-shaping capabilities, achieving a dynamic range (DR) of -154.4 dBFS, which is a 24.8 dB improvement over the third-order mode (-129.6 dBFS), allowing for the precise resolution of weak signals. To verify the configurability of bandwidth and precision, performance metrics were tested under varying OSRs. Simulation data indicate that in the low-OSR region (OSR < 20), the third-order modulator provides a superior Signal-to-Quantization-Noise Ratio (SQNR); for instance, at OSR=14, the third-order and fourth-order modes yield SQNRs of 22.549 dB and 15.383 dB, respectively. As the OSR increases (OSR ≥ 20), the fourth-order mode's noise-shaping advantage becomes dominant. This design not only overcomes the limitations of single-structure modulators in multi-scenario applications but also achieves an optimized bandwidth-precision trade-off by leveraging the higher gain of the third-order structure at low OSRs and the high-precision characteristics of the fourth-order structure at high OSRs, effectively resolving the stability issues of high-order modulators under large-signal conditions.

Key words

Delta-Sigma Modulator / Bandwidth and Resolution Configurable / Switched-Capacitor Circuits / Maximum Stable Amplitude (MSA) / Dynamic Range

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CHEN Wei, LI Jian, WEI Cong. A Bandwidth and Resolution Configurable Delta-Sigma Modulator[J]. Integrated Circuits and Embedded Systems. 0 https://doi.org/10.20193/j.ices2097-4191.2026.0016

Funding

Natural Science Foundation of Fujian Province of China(2025J08027)

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