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A fractional-order zero-phase integrator for sigma-delta modulator

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Abstract

In the system of MEMS digital geophone, the mechanical sensing element and post-stage detection circuit are combined to work as the Sigma-Delta (ΣΔ) modulator. The performance of ΣΔ modulator can be improved by cascading electrical integrators behind the sensitive structure. Thus, additional integrators are introduced in series with the mechanical sensing element to form the high order ΣΔ modulator. In fact, the increase of the system order of ΣΔ modulator is limited to maximum 5 or 6 order due to the system instability. In other words, the stability of ΣΔ modulator system will be weaken caused by the phase loss from the additive integrators. This paper proposes a fractional-order zero-phase integrator (FOZPI) that in series with the 5th-order ΣΔ modulator to effectively suppress the phase distortion in the noise-shaping process for MEMS digital geophone. The proposed ΣΔ modulator with the FOZPI applies in MEMS digital geophone can better enhance the compromise capability between the high signal to noise ratio (SNR) and strong robust stability than the pure 5th-order ΣΔ modulator does. The order of FOZPI is designed by using swarm intelligent algorithm, which offers opportunity to simplify the process of tuning parameter and further improve the noise performance. Finally, the simulation results show that the proposed ΣΔ modulator with FOZPI scheme is an effective way to improve the performance and loop stability for ΣΔ modulator.

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Acknowledgements

This work was supported by the research fund to the top scientific and technological innovation team from Beijing University of Chemical Technology (No. buctylkjcx06).

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Authors and Affiliations

  1. College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, 100029, China

    Chi Xu, Yu Jin & Xin Wang

  2. Advanced Innovation Center for Soft Matter, Beijing University of Chemical Technology, Beijing, 100029, China

    Chi Xu & Duli Yu

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  1. Chi Xu
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  2. Yu Jin
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  3. Duli Yu
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  4. Xin Wang
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Correspondence to Yu Jin.

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Xu, C., Jin, Y., Yu, D. et al. A fractional-order zero-phase integrator for sigma-delta modulator. Analog Integr Circ Sig Process 100, 335–343 (2019). https://doi.org/10.1007/s10470-019-01458-2

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  • DOI: https://doi.org/10.1007/s10470-019-01458-2

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