Nonlinear Model-Based Approach for Accurate Stability Prediction of One-Bit Higher-Order Delta-Sigma (Δ-Σ)Modulators
Article
Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2013. Nonlinear Model-Based Approach for Accurate Stability Prediction of One-Bit Higher-Order Delta-Sigma (Δ-Σ)Modulators. IEEE Transactions on Instrumentation and Measurement. 62 (4), pp. 686-692.
Authors | Lota, J., Al-Janabi, Mohammed and Kale, Izzet |
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Abstract | The present approaches on predicting stability of Delta-Sigma (Δ-Σ) modulators are mostly confined to DC inputs. This poses limitations as practical applications of Δ-Σ modulators involve a wide range of signals other than DC. In this paper, a quasi-linear model for Δ-Σ modulators with nonlinear feedback control analysis is presented that accurately predicts the stability of higher-order single-loop 1-bit Δ-Σ modulators for various types of input signals such as single-sinusoids, dual-sinusoids, multiple-sinusoids and Gaussian. Theoretical values are shown to match closely with simulation results. The results of this paper would significantly speed up the design and evaluation of higher-order single-loop 1-bit Δ-Σ modulators for various applications including those that may require multiple-sinusoidal inputs or any general input composed of a finite number of sinusoidal components, circumventing the need to perform detailed time-consuming simulations to quantify stability limits. By using the proposed method, the difference between the predicted and the actual stable amplitude limits results in an error of less than 1 dB in the in-band Signal-to-Noise Ratio (SNR) for 3rd- and higher-order Δ-Σ modulators for single-sinusoidal inputs. For single-, dual-, multiple-sinusoidal and Gaussian inputs the error is less than 2 dB for the 5th-order and reduces to less than 1 dB for 6th- and higher-order Δ-Σ modulators. |
Journal | IEEE Transactions on Instrumentation and Measurement |
Journal citation | 62 (4), pp. 686-692 |
ISSN | 1557-9662 |
0018-9456 | |
Year | 2013 |
Publisher | IEEE |
Accepted author manuscript | License CC BY-NC-ND |
Web address (URL) | http://dx.doi.org/10.1109/TIM.2013.2241533 |
Publication dates | |
2013 | |
Publication process dates | |
Deposited | 21 Jan 2014 |
Copyright information | (c) 2013 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. |
https://repository.uel.ac.uk/item/85y12
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