Dithering and its effects on sigma-delta and multistage sigma-delta modulation
- 1 May 1991
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 37 (3) , 500-513
- https://doi.org/10.1109/18.79906
Abstract
The spectrum of the quantization error in a dithered sigma-delta modulator is derived under the constraint that the dithering signal does not cause overload. The results apply to DC, sinusoidal, and more general quasi-stationary signals. It is shown in the case of a simple sigma-delta modulation that no-overload dithering can smooth the error spectrum and can make the quantization error asymptotically uncorrelated with the input. It does not, however, make the quantization error white. In the case of multistage sigma-delta modulation with the appropriate dithering, the quantization error becomes white, even for a system with only two stages. The signal-to-quantization-noise ratio (SQNR) is derived for sigma-delta and multistage sigma-delta oversampled analog-to-digital conversion with additive dithering. Simulation results, are presented to support the theoretical analysis.<>Keywords
This publication has 20 references indexed in Scilit:
- Quantization noise spectraIEEE Transactions on Information Theory, 1990
- Quantization noise in single-loop sigma-delta modulation with sinusoidal inputsIEEE Transactions on Communications, 1989
- Spectral analysis of quantization noise in a single-loop sigma-delta modulator with DC inputIEEE Transactions on Communications, 1989
- Oversampling A-to-D and D-to-A converters with multistage noise shaping modulatorsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1988
- Oversampled Sigma-Delta ModulationIEEE Transactions on Communications, 1987
- A multistage delta-sigma modulator without double integration loopPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1986
- A Use of Double Integration in Sigma Delta ModulationIEEE Transactions on Communications, 1985
- Some windows with very good sidelobe behaviorIEEE Transactions on Acoustics, Speech, and Signal Processing, 1981
- Dither in nonlinear systemsIEEE Transactions on Automatic Control, 1976
- A Study of Rough Amplitude Quantization by Means of Nyquist Sampling TheoryIRE Transactions on Circuit Theory, 1956