A Heuristic Finite Frequency H-infinity Filtering Technique with Application to Cascaded 2-1 Sigma-Delta Modulators

doi:10.1109/ICSSE.2010.5551821

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Title:	A Heuristic Finite Frequency H-infinity Filtering Technique with Application to Cascaded 2-1 Sigma-Delta Modulators
Authors:	Chou, Yung-shan;Lin, Chun-chen;Chang, Yun-lun
Contributors:	淡江大學電機工程學系
Date:	2010-07
Issue Date:	2011-10-23 21:05:23 (UTC+8)
Publisher:	IEEE
Abstract:	Due to limited accuracy of the modern fabrication technologies, cascaded sigma-delta modulators could suffer from finite amplifier gain and capacitor mismatch. Unfortunately, these non-ideal analog components cause inevitable mismatch of the analog circuits and digital noise cancellation filters; consequently it leads to a poor signal-to-noise ratio (SNR). In this paper, the SNR performance enhancement problem is formulated as a robust H-infinity filtering problem in finite frequency domain. Specifically, we propose a heuristic finite impulse response (FIR) filter design that deals with the problem by treating the non-ideality as parametric uncertainty in the integrators' pole and zero of the modulators. In contrast with the existing approaches, the proposed design is a direct approach which directly adjusts the gain responses of the noise transfer function to yield high-order noise shaping by searching the coefficients of FIR filters via solving linear matrix inequality (LMI) feasibility problems. We have confirmed the validity of the proposed method via simulations of a cascaded 2-1 modulator with 2% deviation in the analog integrators. Simulation results show that the modulator matched by the proposed filter achieves better SNR performance than that matched by the conventional one.
Relation:	2010 International Conference on System Science and Engineering (ICSSE),p.p401 - 406
DOI:	10.1109/ICSSE.2010.5551821
Appears in Collections:	[Graduate Institute & Department of Electrical Engineering] Proceeding

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