Nonlinear Stability Prediction of Multibit Delta-Sigma Modulators for Sinusoidal Inputs

Article


Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2014. Nonlinear Stability Prediction of Multibit Delta-Sigma Modulators for Sinusoidal Inputs. IEEE Transactions on Instrumentation and Measurement. 63 (1), pp. 18-26.
AuthorsLota, J., Al-Janabi, Mohammed and Kale, Izzet
Abstract

This paper proposes a novel algorithm that can be integrated with various design and evaluation tools, to more accurately
and rapidly predict stability in multi-bit delta-sigma (Δ-Σ) modulators. Analytical expressions using the nonlinear gains from the
concept of modified nonlinearity in control theory are incorporated into the mathematical model of multi-bit Δ-Σ modulators to predict
the stable amplitude limits for sinusoidal input signals. The nonlinear gains lead to a set of equations which can numerically estimate
the quantizer gain as a function of the input sinusoidal signal amplitude. This method is shown to accurately predict the stable
amplitude limits of sinusoids for 2nd-, 3rd-, 4th-, 5th- and 6th-order 3- and 5-level mid-tread quantizer based Δ-Σ modulators. The
algorithm is simple to apply and can be extended to midrise quantizers or to any number of quantizer levels. The only required input
parameters for this algorithm are the number of quantizer levels and the coefficients of the noise transfer function.

JournalIEEE Transactions on Instrumentation and Measurement
Journal citation63 (1), pp. 18-26
ISSN1557-9662
0018-9456
Year2014
PublisherIEEE
Accepted author manuscript
License
CC BY-NC-ND
Web address (URL)http://dx.doi.org/10.1109/TIM.2013.2273597
Publication dates
Print2014
Publication process dates
Deposited21 Jan 2014
Copyright information(c) 2014 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.
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