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A rigorous approach to the robust design of continuous-time ΣΔ modulators

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Abstract
In this paper we present a framework for robust design of continuous-time Sigma Delta modulators. The approach allows to find a modulator which maintains its performance ( stability, guaranteed peak SNR, ...) over all the foreseen parasitic effects, provided it exists. For this purpose, we have introduced the S-figure as a criterion for the robustness of a continuous-time Sigma Delta modulator. This figure, inspired by the worst-case-distance methodology, indicates how close a design is to violating one of its performance requirements. Optimal robustness is obtained by optimizing this S-figure. The approach is illustrated through various design examples and is able to find modulators that are robust to excess loop delay, clock jitter and coefficient variations. As an application of the approach, we have quantified the effect of coefficient trimming. Even with poor trim resolution, good performance can be achieved provided beneficial initial system parameters are chosen. Another example illustrates the fact that also the out-of-band peaking behavior of the signal transfer function can be controlled with our design framework.
Keywords
CMOS, CONVERTERS, QUANTIZER, COMPENSATION, OPTIMIZATION, SIGNAL BANDWIDTH, DYNAMIC-RANGE, CLOCK JITTER, robust stability, EXCESS-LOOP-DELAY, robust performance, continuous-time sigma-delta (Sigma Delta) modulation, Analog-to-digital (A/D) conversion, ADC

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Citation

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Chicago
De Vuyst, Bart, Pieter Rombouts, and Georges Gielen. 2011. “A Rigorous Approach to the Robust Design of Continuous-time ΣΔ Modulators.” Ieee Transactions on Circuits and Systems I-regular Papers 58 (12): 2829–2837.
APA
De Vuyst, Bart, Rombouts, P., & Gielen, G. (2011). A rigorous approach to the robust design of continuous-time ΣΔ modulators. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 58(12), 2829–2837.
Vancouver
1.
De Vuyst B, Rombouts P, Gielen G. A rigorous approach to the robust design of continuous-time ΣΔ modulators. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS. 2011;58(12):2829–37.
MLA
De Vuyst, Bart, Pieter Rombouts, and Georges Gielen. “A Rigorous Approach to the Robust Design of Continuous-time ΣΔ Modulators.” IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 58.12 (2011): 2829–2837. Print.
@article{1976879,
  abstract     = {In this paper we present a framework for robust design of continuous-time Sigma Delta modulators. The approach allows to find a modulator which maintains its performance ( stability, guaranteed peak SNR, ...) over all the foreseen parasitic effects, provided it exists. For this purpose, we have introduced the S-figure as a criterion for the robustness of a continuous-time Sigma Delta modulator. This figure, inspired by the worst-case-distance methodology, indicates how close a design is to violating one of its performance requirements. Optimal robustness is obtained by optimizing this S-figure. The approach is illustrated through various design examples and is able to find modulators that are robust to excess loop delay, clock jitter and coefficient variations. As an application of the approach, we have quantified the effect of coefficient trimming. Even with poor trim resolution, good performance can be achieved provided beneficial initial system parameters are chosen. Another example illustrates the fact that also the out-of-band peaking behavior of the signal transfer function can be controlled with our design framework.},
  author       = {De Vuyst, Bart and Rombouts, Pieter and Gielen, Georges},
  issn         = {1549-8328},
  journal      = {IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS},
  keyword      = {CMOS,CONVERTERS,QUANTIZER,COMPENSATION,OPTIMIZATION,SIGNAL BANDWIDTH,DYNAMIC-RANGE,CLOCK JITTER,robust stability,EXCESS-LOOP-DELAY,robust performance,continuous-time sigma-delta (Sigma Delta) modulation,Analog-to-digital (A/D) conversion,ADC},
  language     = {eng},
  number       = {12},
  pages        = {2829--2837},
  title        = {A rigorous approach to the robust design of continuous-time \ensuremath{\Sigma}\ensuremath{\Delta} modulators},
  url          = {http://dx.doi.org/10.1109/TCSI.2011.2158702},
  volume       = {58},
  year         = {2011},
}

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