An H-infinity approach for robust calibration of cascaded sigma-delta modulators

TY - JOUR

T1 - An H-infinity approach for robust calibration of cascaded sigma-delta modulators

AU - Yang, F W

AU - Gani, M

PY - 2008/3

Y1 - 2008/3

N2 - In this paper, we propose a novel robust H-infinity optimization approach to the design of digital filters for calibrating 2-1 cascaded sigma-delta (SD) modulators. The main contribution of this paper consists of two parts. First, we develop a new filter design technique based on linear matrix inequalities applied to a model-matching problem with polytopic uncertainties in parameters. The advantage of the proposed method is that it leads to an optimal, less conservative, solution to the robust H-infinity filtering problem. The second contribution involves the application of the proposed robust filter design scheme to correct for inevitable and unwelcome analog imperfections typically associated with cascaded SD modulators. For numerical illustration we concentrate on the 2-1 architecture. Simulation results for a range of parameter excursions suggest that our robust H-infinity filter guarantees an improved signal-to-noise ratio performance over the nominal filter

AB - In this paper, we propose a novel robust H-infinity optimization approach to the design of digital filters for calibrating 2-1 cascaded sigma-delta (SD) modulators. The main contribution of this paper consists of two parts. First, we develop a new filter design technique based on linear matrix inequalities applied to a model-matching problem with polytopic uncertainties in parameters. The advantage of the proposed method is that it leads to an optimal, less conservative, solution to the robust H-infinity filtering problem. The second contribution involves the application of the proposed robust filter design scheme to correct for inevitable and unwelcome analog imperfections typically associated with cascaded SD modulators. For numerical illustration we concentrate on the 2-1 architecture. Simulation results for a range of parameter excursions suggest that our robust H-infinity filter guarantees an improved signal-to-noise ratio performance over the nominal filter

U2 - 10.1109/TCSI.2007.913704

DO - 10.1109/TCSI.2007.913704

M3 - Article

VL - 55

SP - 625

EP - 634

JO - to appear in IEEE Transactions on Circuits and Systems-I: Regular Papers

JF - to appear in IEEE Transactions on Circuits and Systems-I: Regular Papers

IS - 2

ER -