Stability in a general Sigma Delta modulator

Authors:
R. Schreier;M. Snelgrove
Affiliations:
Dept. of Electr. Eng., Toronto Univ., Ont., Canada;Dept. of Electr. Eng., Toronto Univ., Ont., Canada
Venue:
ICASSP '91 Proceedings of the Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference
Year:
1991

Citing 0
Cited 1

On the approximate solution of a class of large discrete quadratic programming problems by ΔΣ modulation: the case of circulant quadratic forms

IEEE Transactions on Signal Processing

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Abstract

The stability of a single-quantizer Sigma Delta modulator in terms of its noise transfer function is studied. It is shown that stability is conditional upon the input signal, and an explicit formula for the set of all inputs which result in stable behavior is given. In addition, the authors compare the set of modulators stable with zero input to the sets given by several existing rules of thumb and find that these criteria are neither necessary, nor in some cases sufficient, to ensure stability.