TY - JOUR

T1 - A symbolic approach toward high-level variation-aware topology synthesis of Delta-Sigma modulators

AU - Webb, Matthew

AU - Tang, Hua

PY - 2008/1/1

Y1 - 2008/1/1

N2 - This article presents a methodology for automated high-level variation-aware topology synthesis of ΔΣ (Delta-Sigma) modulators. The methodology targets an optimal high-level ΔΣ modulator topology in terms of statistical signal-to-noise ratio (SNR) variation. In the proposed methodology, a systematic symbolic formulation of statistical SNR variation is made so that variations of capacitors are directly translated to SNR variation. The symbolic formulation of statistical SNR variation is then taken as the cost function guiding the topology synthesis process. A ΔΣ modulator template topology, which compactly represents all possible modulator topologies, is used so that the solution space is complete. To facilitate the search for an optimal topology, a mixed-integer non-linearly constrained programming (MINLP) program is formulated. By solving the MINLP program, an optimal solution with least statistical SNR variation can be obtained. A few experiments have shown the solved optimal topologies have less SNR variations compared to traditional ones.

AB - This article presents a methodology for automated high-level variation-aware topology synthesis of ΔΣ (Delta-Sigma) modulators. The methodology targets an optimal high-level ΔΣ modulator topology in terms of statistical signal-to-noise ratio (SNR) variation. In the proposed methodology, a systematic symbolic formulation of statistical SNR variation is made so that variations of capacitors are directly translated to SNR variation. The symbolic formulation of statistical SNR variation is then taken as the cost function guiding the topology synthesis process. A ΔΣ modulator template topology, which compactly represents all possible modulator topologies, is used so that the solution space is complete. To facilitate the search for an optimal topology, a mixed-integer non-linearly constrained programming (MINLP) program is formulated. By solving the MINLP program, an optimal solution with least statistical SNR variation can be obtained. A few experiments have shown the solved optimal topologies have less SNR variations compared to traditional ones.

KW - Computer aided design

KW - Delta-Sigma modulator

KW - High-level topology synthesis

KW - Statistical SNR variation

KW - Symbolic analysis

UR - http://www.scopus.com/inward/record.url?scp=54049094465&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=54049094465&partnerID=8YFLogxK

U2 - 10.1080/00207210802343935

DO - 10.1080/00207210802343935

M3 - Article

AN - SCOPUS:54049094465

VL - 95

SP - 1033

EP - 1053

JO - International Journal of Electronics

JF - International Journal of Electronics

SN - 0020-7217

IS - 10

ER -