Optimal Low-Frequency Filter Design for Uncertain 2-1 Sigma-Delta Modulators

TY - JOUR

T1 - Optimal Low-Frequency Filter Design for Uncertain 2-1 Sigma-Delta Modulators

AU - McKernan, John

AU - Gani, Mahbub

AU - Yang, Fuwen

AU - Henrion, Didier

PY - 2009

Y1 - 2009

N2 - Variability in the analogue components of integrators in cascaded 2-1 Sigma-Delta modulators causes imperfect cancellation of first stage quantization noise, and reduced signal-to-noise ratio in analogue-to-digital converters. Design of robust matching filters based on low-frequency weighted convex optimization over uncertain linearized representations are mathematically very complex and computationally intensive, and offer little insight into the solution. This letter describes a design method based on formal optimization of a low-frequency uncertain linearized model of the modulator, and leads to a simple intuitive result which can shed light on the more complex models. Simulation results confirm the optimal properties of the filter.

AB - Variability in the analogue components of integrators in cascaded 2-1 Sigma-Delta modulators causes imperfect cancellation of first stage quantization noise, and reduced signal-to-noise ratio in analogue-to-digital converters. Design of robust matching filters based on low-frequency weighted convex optimization over uncertain linearized representations are mathematically very complex and computationally intensive, and offer little insight into the solution. This letter describes a design method based on formal optimization of a low-frequency uncertain linearized model of the modulator, and leads to a simple intuitive result which can shed light on the more complex models. Simulation results confirm the optimal properties of the filter.

U2 - 10.1109/LSP.2009.2016456

DO - 10.1109/LSP.2009.2016456

M3 - Article

SN - 1558-2361

VL - 16

SP - 362

EP - 365

JO - IEEE SIGNAL PROCESSING LETTERS

JF - IEEE SIGNAL PROCESSING LETTERS

IS - 5

ER -