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Graph-based symbolic technique and its application in the frequency response bound analysis of analog integrated circuits.

Tlelo-Cuautle E, Rodriguez-Chavez S, Palma-Rodriguez AA - ScientificWorldJournal (2014)

Bottom Line: The derived H(s) of a given analog IC is used to compute the frequency response bounds (maximum and minimum) associated to the magnitude and phase of H(s), subject to some ranges of process variational parameters, and by performing nonlinear constrained optimization.Our simulations demonstrate the usefulness of the new GBST for deriving the exact symbolic expression for H(s), and the last section highlights the good agreement between the frequency response bounds computed by our variational analysis approach versus traditional Monte Carlo simulations.As a conclusion, performing variational analysis using our proposed GBST for computing the frequency response bounds of analog ICs, shows a gain in computing time of 100x for a differential circuit topology and 50x for a 3-stage amplifier, compared to traditional Monte Carlo simulations.

View Article: PubMed Central - PubMed

Affiliation: INAOE, 72840 Tonantzintla, Puebla, PUE, Mexico.

ABSTRACT
A new graph-based symbolic technique (GBST) for deriving exact analytical expressions like the transfer function H(s) of an analog integrated circuit (IC), is introduced herein. The derived H(s) of a given analog IC is used to compute the frequency response bounds (maximum and minimum) associated to the magnitude and phase of H(s), subject to some ranges of process variational parameters, and by performing nonlinear constrained optimization. Our simulations demonstrate the usefulness of the new GBST for deriving the exact symbolic expression for H(s), and the last section highlights the good agreement between the frequency response bounds computed by our variational analysis approach versus traditional Monte Carlo simulations. As a conclusion, performing variational analysis using our proposed GBST for computing the frequency response bounds of analog ICs, shows a gain in computing time of 100x for a differential circuit topology and 50x for a 3-stage amplifier, compared to traditional Monte Carlo simulations.

Show MeSH
Spectral projected gradient method.
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Related In: Results  -  Collection


getmorefigures.php?uid=PMC4127259&req=5

alg6: Spectral projected gradient method.

Mentions: The method is shown in Algorithm 6, where λnew uses one-dimensional quadratic interpolation and it is safeguarded taking λ ← λ/2 when the minimum of the one-dimensional quadratic lies outside [0.1,0.9λ]. The line search condition in step 6 guarantees that the sequence {xc} remains in Ω0 = {x ∈ Ω : f(x) ≤ f(x0)}.


Graph-based symbolic technique and its application in the frequency response bound analysis of analog integrated circuits.

Tlelo-Cuautle E, Rodriguez-Chavez S, Palma-Rodriguez AA - ScientificWorldJournal (2014)

Spectral projected gradient method.
© Copyright Policy - open-access
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4127259&req=5

alg6: Spectral projected gradient method.
Mentions: The method is shown in Algorithm 6, where λnew uses one-dimensional quadratic interpolation and it is safeguarded taking λ ← λ/2 when the minimum of the one-dimensional quadratic lies outside [0.1,0.9λ]. The line search condition in step 6 guarantees that the sequence {xc} remains in Ω0 = {x ∈ Ω : f(x) ≤ f(x0)}.

Bottom Line: The derived H(s) of a given analog IC is used to compute the frequency response bounds (maximum and minimum) associated to the magnitude and phase of H(s), subject to some ranges of process variational parameters, and by performing nonlinear constrained optimization.Our simulations demonstrate the usefulness of the new GBST for deriving the exact symbolic expression for H(s), and the last section highlights the good agreement between the frequency response bounds computed by our variational analysis approach versus traditional Monte Carlo simulations.As a conclusion, performing variational analysis using our proposed GBST for computing the frequency response bounds of analog ICs, shows a gain in computing time of 100x for a differential circuit topology and 50x for a 3-stage amplifier, compared to traditional Monte Carlo simulations.

View Article: PubMed Central - PubMed

Affiliation: INAOE, 72840 Tonantzintla, Puebla, PUE, Mexico.

ABSTRACT
A new graph-based symbolic technique (GBST) for deriving exact analytical expressions like the transfer function H(s) of an analog integrated circuit (IC), is introduced herein. The derived H(s) of a given analog IC is used to compute the frequency response bounds (maximum and minimum) associated to the magnitude and phase of H(s), subject to some ranges of process variational parameters, and by performing nonlinear constrained optimization. Our simulations demonstrate the usefulness of the new GBST for deriving the exact symbolic expression for H(s), and the last section highlights the good agreement between the frequency response bounds computed by our variational analysis approach versus traditional Monte Carlo simulations. As a conclusion, performing variational analysis using our proposed GBST for computing the frequency response bounds of analog ICs, shows a gain in computing time of 100x for a differential circuit topology and 50x for a 3-stage amplifier, compared to traditional Monte Carlo simulations.

Show MeSH