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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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.
|Divisions:||Schools > Architecture Computing and Engineering, School of|
|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.|
|Date Deposited:||11 Oct 2009 12:34|
|Creators:||Lota, Jaswinder and Al-Janabi, Mohammed and Kale, Izzet|
|Last Modified:||27 Sep 2012 11:59|
|Depositing User:||Mr Stephen Grace|