Optimal synthesis of Delta-Sigma modulator topologies considering SNR variation

Hua Tang; Matthew M. Webb

doi:10.1109/MWSCAS.2007.4488682

Optimal synthesis of Delta-Sigma modulator topologies considering SNR variation

Hua Tang, Matthew M. Webb

Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

This paper presents a method for optimal synthesis of Delta-Sigma (ΔΣ) modulator topologies in terms of statistical SNR (Signal-to-Noise Ratio) variation. A ΔΣ modulator template topology is used to represent many possible Delta-Sigma modulator topologies. Then a symbolic formulation of statistical SNR variation is systematically derived from the template topology so that variation of capacitors are directly translated to SNR variation. To facilitate the search for an optimal topology, a MINLP (Mixed-Integer Nonlinearly Constrained Programming) program is formulated. By solving the MINLP program, an optimal solution with least statistical SNR variation can be obtained. Experiments have shown the solved optimal topologies have less SNR variation compared to traditional ones.

Original language	English (US)
Title of host publication	2007 50th Midwest Symposium on Circuits and Systems, MWSCAS - Conference Proceedings
Pages	730-733
Number of pages	4
DOIs	https://doi.org/10.1109/MWSCAS.2007.4488682
State	Published - Dec 1 2007
Event	2007 50th Midwest Symposium on Circuits and Systems, MWSCAS - Conference - Montreal, QC, Canada Duration: Aug 5 2007 → Aug 8 2007

Publication series

Name	Midwest Symposium on Circuits and Systems
ISSN (Print)	1548-3746

Other

Other	2007 50th Midwest Symposium on Circuits and Systems, MWSCAS - Conference
Country/Territory	Canada
City	Montreal, QC
Period	8/5/07 → 8/8/07

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10.1109/MWSCAS.2007.4488682

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Tang, H & Webb, MM 2007, Optimal synthesis of Delta-Sigma modulator topologies considering SNR variation. in 2007 50th Midwest Symposium on Circuits and Systems, MWSCAS - Conference Proceedings., 4488682, Midwest Symposium on Circuits and Systems, pp. 730-733, 2007 50th Midwest Symposium on Circuits and Systems, MWSCAS - Conference, Montreal, QC, Canada, 8/5/07. https://doi.org/10.1109/MWSCAS.2007.4488682

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title = "Optimal synthesis of Delta-Sigma modulator topologies considering SNR variation",

abstract = "This paper presents a method for optimal synthesis of Delta-Sigma (ΔΣ) modulator topologies in terms of statistical SNR (Signal-to-Noise Ratio) variation. A ΔΣ modulator template topology is used to represent many possible Delta-Sigma modulator topologies. Then a symbolic formulation of statistical SNR variation is systematically derived from the template topology so that variation of capacitors are directly translated to SNR variation. To facilitate the search for an optimal topology, a MINLP (Mixed-Integer Nonlinearly Constrained Programming) program is formulated. By solving the MINLP program, an optimal solution with least statistical SNR variation can be obtained. Experiments have shown the solved optimal topologies have less SNR variation compared to traditional ones.",

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N2 - This paper presents a method for optimal synthesis of Delta-Sigma (ΔΣ) modulator topologies in terms of statistical SNR (Signal-to-Noise Ratio) variation. A ΔΣ modulator template topology is used to represent many possible Delta-Sigma modulator topologies. Then a symbolic formulation of statistical SNR variation is systematically derived from the template topology so that variation of capacitors are directly translated to SNR variation. To facilitate the search for an optimal topology, a MINLP (Mixed-Integer Nonlinearly Constrained Programming) program is formulated. By solving the MINLP program, an optimal solution with least statistical SNR variation can be obtained. Experiments have shown the solved optimal topologies have less SNR variation compared to traditional ones.

AB - This paper presents a method for optimal synthesis of Delta-Sigma (ΔΣ) modulator topologies in terms of statistical SNR (Signal-to-Noise Ratio) variation. A ΔΣ modulator template topology is used to represent many possible Delta-Sigma modulator topologies. Then a symbolic formulation of statistical SNR variation is systematically derived from the template topology so that variation of capacitors are directly translated to SNR variation. To facilitate the search for an optimal topology, a MINLP (Mixed-Integer Nonlinearly Constrained Programming) program is formulated. By solving the MINLP program, an optimal solution with least statistical SNR variation can be obtained. Experiments have shown the solved optimal topologies have less SNR variation compared to traditional ones.

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Optimal synthesis of Delta-Sigma modulator topologies considering SNR variation

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