Stability tests for single-bit sigma-delta modulators with second-order FIR noise transfer functions
- 2 January 2003
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 3, 1316-1319
- https://doi.org/10.1109/iscas.1992.230262
Abstract
The authors study the stability of sigma-delta modulators with second-order FIR (finite impulse response) noise transfer functions. At present, there is no analytical criterion which is both necessary and sufficient for the stability of such systems, even when the input is known. The authors present a variety of tests, culminating with the results of a simple computer algorithm which proves the zero-input stability of 94% of the modulators of the foregoing type which are, according to brute-force simulations, believed to be stable. The algorithm may be extended to higher-order FIR, or even IIR (infinite impulse response) transfer functions and may also be modified to incorporate bounded inputs.Keywords
This publication has 8 references indexed in Scilit:
- NONLINEAR DYNAMICS OF A CLASS OF ANALOG-TO-DIGITAL CONVERTERSInternational Journal of Bifurcation and Chaos, 1992
- On the stability of interpolative sigma delta modulatorsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1991
- Stability in a general Sigma Delta modulatorPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1991
- A higher order topology for interpolative modulators for oversampling A/D convertersIEEE Transactions on Circuits and Systems, 1990
- A monolithic 2-b delta-sigma A/D converterIEEE Journal of Solid-State Circuits, 1990
- A 14-bit 80-kHz sigma-delta A/D converter: modeling, design and performance evaluationIEEE Journal of Solid-State Circuits, 1989
- Error diffusion coding for A/D conversionIEEE Transactions on Circuits and Systems, 1989
- Oversampled Sigma-Delta ModulationIEEE Transactions on Communications, 1987