Correlation of Transfer Function Implementation on Delta-Sigma Modulator Stability Analysis
Summary :
Higher order delta-sigma (ΔΣ) modulator with one bit quantizer is known as one of the easiest method to gain a high resolution A/D converter without the need of accurately matched components. However, stability of higher order ΔΣ modulator is still a problem during the design and implementation process. Stabilizing higher order modulator requires the proper choice of integrator gains. In this paper, a new approach on ΔΣ modulator stability analysis which based on the system auto-correlation function is proposed, and equation of NTF power integration is derived out. The specification of equation related to input signal amplitude and output quantization level is discussed. Combining with system control theory, the stability of higher order modulator (2nd and 3rd order) is evaluated. Matlab simulation confirm the proposed method. It offers an evaluation method for the choice of the in-loop integrator gains which ensure the modulator operates under the stable status, and is able to be used for designing stable higher order ΔΣ analog-to-digital converters.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E83-A No.4 pp.733-739
- Publication Date
- 2000/04/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Analog Signal Processing
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Yikui ZHANG, Etsuro HAYAHARA, Satoshi HIRANO, Naohito SAKAKIBARA, "Correlation of Transfer Function Implementation on Delta-Sigma Modulator Stability Analysis" in IEICE TRANSACTIONS on Fundamentals,
vol. E83-A, no. 4, pp. 733-739, April 2000, doi: .
Abstract: Higher order delta-sigma (ΔΣ) modulator with one bit quantizer is known as one of the easiest method to gain a high resolution A/D converter without the need of accurately matched components. However, stability of higher order ΔΣ modulator is still a problem during the design and implementation process. Stabilizing higher order modulator requires the proper choice of integrator gains. In this paper, a new approach on ΔΣ modulator stability analysis which based on the system auto-correlation function is proposed, and equation of NTF power integration is derived out. The specification of equation related to input signal amplitude and output quantization level is discussed. Combining with system control theory, the stability of higher order modulator (2nd and 3rd order) is evaluated. Matlab simulation confirm the proposed method. It offers an evaluation method for the choice of the in-loop integrator gains which ensure the modulator operates under the stable status, and is able to be used for designing stable higher order ΔΣ analog-to-digital converters.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e83-a_4_733/_p
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@ARTICLE{e83-a_4_733,
author={Yikui ZHANG, Etsuro HAYAHARA, Satoshi HIRANO, Naohito SAKAKIBARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Correlation of Transfer Function Implementation on Delta-Sigma Modulator Stability Analysis},
year={2000},
volume={E83-A},
number={4},
pages={733-739},
abstract={Higher order delta-sigma (ΔΣ) modulator with one bit quantizer is known as one of the easiest method to gain a high resolution A/D converter without the need of accurately matched components. However, stability of higher order ΔΣ modulator is still a problem during the design and implementation process. Stabilizing higher order modulator requires the proper choice of integrator gains. In this paper, a new approach on ΔΣ modulator stability analysis which based on the system auto-correlation function is proposed, and equation of NTF power integration is derived out. The specification of equation related to input signal amplitude and output quantization level is discussed. Combining with system control theory, the stability of higher order modulator (2nd and 3rd order) is evaluated. Matlab simulation confirm the proposed method. It offers an evaluation method for the choice of the in-loop integrator gains which ensure the modulator operates under the stable status, and is able to be used for designing stable higher order ΔΣ analog-to-digital converters.},
keywords={},
doi={},
ISSN={},
month={April},}
Copy
TY - JOUR
TI - Correlation of Transfer Function Implementation on Delta-Sigma Modulator Stability Analysis
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 733
EP - 739
AU - Yikui ZHANG
AU - Etsuro HAYAHARA
AU - Satoshi HIRANO
AU - Naohito SAKAKIBARA
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E83-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2000
AB - Higher order delta-sigma (ΔΣ) modulator with one bit quantizer is known as one of the easiest method to gain a high resolution A/D converter without the need of accurately matched components. However, stability of higher order ΔΣ modulator is still a problem during the design and implementation process. Stabilizing higher order modulator requires the proper choice of integrator gains. In this paper, a new approach on ΔΣ modulator stability analysis which based on the system auto-correlation function is proposed, and equation of NTF power integration is derived out. The specification of equation related to input signal amplitude and output quantization level is discussed. Combining with system control theory, the stability of higher order modulator (2nd and 3rd order) is evaluated. Matlab simulation confirm the proposed method. It offers an evaluation method for the choice of the in-loop integrator gains which ensure the modulator operates under the stable status, and is able to be used for designing stable higher order ΔΣ analog-to-digital converters.
ER -
English
