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Integrator bound-based nonlinear decoder for delta-sigma modulator

Publication ,  Journal Article
Kim, DD; Brooke, MA
Published in: Midwest Symposium on Circuits and Systems
December 1, 2006

A new nonlinear iterative delta-sigma decoder based on the modulator integrator bounds is presented. The proposed decoder has faster convergence and more efficient decision levels than the previously known zoomer decoder. The proposed decoder shows the best-known mean-squared error (MSE) performance, about 5.25 dB gain over the zoomer decoder. The decoder MSE bound is 0.27(df2)2/L3, while the zoomer decoder provides claimed 0.91(d/2)2/L3, both of which obtained through numerical simulations. The differences in initial conditions and solution developments show that the proposed decoder is not a special case of the zoomer decoder. While the optimality of the zoomer decoder is based on the assumed initial condition, it is argued that the assumed condition is not optimal, since it maximizes the first quantization error and it wastes first two modulator output bits. The proposed algorithm decodes an output stream of a first-order delta-sigma modulator with a static input and an initial condition. Solution tracking behaviors, decision levels, and MSE, or signal-to-noise ratio (SNR) performances of both decoders are examined and compared to justify the claims. © 2006 IEEE.

Duke Scholars

Published In

Midwest Symposium on Circuits and Systems

DOI

ISSN

1548-3746

Publication Date

December 1, 2006

Volume

1

Start / End Page

457 / 460
 

Citation

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Kim, D. D., & Brooke, M. A. (2006). Integrator bound-based nonlinear decoder for delta-sigma modulator. Midwest Symposium on Circuits and Systems, 1, 457–460. https://doi.org/10.1109/MWSCAS.2006.382097
Kim, D. D., and M. A. Brooke. “Integrator bound-based nonlinear decoder for delta-sigma modulator.” Midwest Symposium on Circuits and Systems 1 (December 1, 2006): 457–60. https://doi.org/10.1109/MWSCAS.2006.382097.
Kim DD, Brooke MA. Integrator bound-based nonlinear decoder for delta-sigma modulator. Midwest Symposium on Circuits and Systems. 2006 Dec 1;1:457–60.
Kim, D. D., and M. A. Brooke. “Integrator bound-based nonlinear decoder for delta-sigma modulator.” Midwest Symposium on Circuits and Systems, vol. 1, Dec. 2006, pp. 457–60. Scopus, doi:10.1109/MWSCAS.2006.382097.
Kim DD, Brooke MA. Integrator bound-based nonlinear decoder for delta-sigma modulator. Midwest Symposium on Circuits and Systems. 2006 Dec 1;1:457–460.

Published In

Midwest Symposium on Circuits and Systems

DOI

ISSN

1548-3746

Publication Date

December 1, 2006

Volume

1

Start / End Page

457 / 460