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Resonators in Open-Loop Sigma–Delta Modulators

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2 Author(s)
Wulff, C. ; Dept. of Electron. & Telecommun., Norwegian Univ. of Sci. & Technol., Trondheim, Norway ; Ytterdal, T.

In this paper, we introduce the modulo resonator for use in analog-to-digital open-loop sigma-delta modulators (OLSDMs). The OLSDM presented in this paper is intended for use in high-accuracy (14-bit) high-speed analog-to-digital converters. The modulo resonator is used with a modulo notch filter to insert a zero in the noise transfer function at a nonzero frequency. The effect of finite gain in modulo integrators and resonators is described and verified through simulation. The modulo resonator and a previously published modulo integrator are used in a behavioral model of a switched-capacitor fifth-order OLSDM with more than 13-bit effective number of bits for an oversampling ratio of four. We prove for the N -order OLSDM that the number of bits in the quantizer (B) must be larger than N to ensure equivalence between open-loop sigma-delta modulation and sigma-delta modulation.

Published in:

Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:56 ,  Issue: 10 )

Date of Publication:

Oct. 2009

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