Nonlinear-Stability Analysis of Higher Order Δ–Σ Modulators for DC and Sinusoidal Inputs

Lota, Jaswinder and Al-Janabi, Mohammed and Kale, Izzet (2008) ‘Nonlinear-Stability Analysis of Higher Order Δ–Σ Modulators for DC and Sinusoidal Inputs’, IEEE Transactions on Instrumentation and Measurement, 57(3), pp. 530-542.

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Official URL: http://dx.doi.org/10.1109/TIM.2007.911640

Abstract

Abstract—The present work that exists on predicting the stability of Δ–Σ modulators is confined to DC input signals and unity quantizer gains. This poses a limitation for numerous Δ–Σ modulator applications. The proposed research work gives the stability curves for DC, sine, and dual sinusoidal inputs for any value of the quantizer gain. The maximum stable input limits for third-, fourth-, and fifth-order Chebyshev-Type-II-based Δ–Σ modulators are established using the describing-function method for DC and sinusoidal inputs. Closed-form mathematical expressions for the gains of the quantizer for higher order Δ–Σ modulators whose inputs are two concurrent sinusoids are derived from first principles. The derived stability curves are shown to agree reasonably well with the simulation results for different types of input signals and amplitudes.

Item Type: Article
Additional Information: Citation: Lota, J. Al-Janabi, M., Kale, I. (2008) ‘Nonlinear-Stability Analysis of Higher Order Δ–Σ Modulators for DC and Sinusoidal Inputs’ IEEE Transactions on Instrumentation and Measurement 57 (3) 530-542.
Divisions: Schools > Architecture Computing and Engineering, School of
Depositing User: Mr Stephen Grace
Date Deposited: 11 Oct 2009 12:34
Last Modified: 27 Sep 2012 11:59
URI: http://hdl.handle.net/10552/319

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