Richardson extrapolation-based sensitivity analysis in the multi-objective optimization of analog circuits

Guerra-Gomez, I.; Tlelo‐Cuautle, Esteban; Fraga, Luis Gerardo de la

doi:10.1016/j.amc.2013.07.059

Cited by 35 publications

(12 citation statements)

References 19 publications

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“…For this case h u ¼2 À u h uÀ 1 , where u is the current iteration and h 0 is assigned to an initial value [18,19]. Our proposed sensitivity analysis approach is based on the Richardson extrapolation by applying the simulation-based evaluation outlined in Algorithm 1 [19] .…”

Section: Sensitivity Analysis By Applying Richardson Extrapolationmentioning

confidence: 99%

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A hybrid approach for the sensitivity analysis of integrated inductors

et al. 2016

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Section: Sensitivity Analysis By Applying Richardson Extrapolationmentioning

confidence: 99%

“…In this work an approximation technique for computing the partial derivatives called the Richardson extrapolation [18,19] is considered. The Richardson extrapolation method is an evolution acceleration process used to improve the rate of convergence of calculation of the partial derivatives.…”

Section: Sensitivity Analysis By Applying Richardson Extrapolationmentioning

confidence: 99%

A hybrid approach for the sensitivity analysis of integrated inductors

et al. 2016

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“…To guarantee the best performance, one should optimize the IC design [21]. In this manner, we applied the optimization approach introduced in [22], to guarantee low sensitivity and then low parameter variation of the OTA. In this manner, using IC fabrication technology of 0.35 mm, and biases of §1.5 V and I bias D 50 mA, the optimized widths (W) and lengths (L) of the MOSFETs computed by applying [22] are the following: L D 1.2 mm for all MOSFETs,…”

Section: Cdcta and Ota Realizationsmentioning

confidence: 99%

CDCTA and OTA Realizations of a Multi-phase Sinusoidal Oscillator

Tlelo‐Cuautle

Fraga

Phanrattanachai

et al. 2015

IETE Technical Review

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A new topology for a current-mode multi-phase sinusoidal oscillator (MSO) is introduced. It is designed using current-differencing cascaded transconductance amplifiers (CDCTAs) and operational transconductance amplifiers (OTA). Both designs realize odd and even numbers of phase oscillators. The MSO is implemented by cascading first-order all-pass filter stages that are designed with CDCTAs or OTAs and show the same transfer function. The MSO includes n grounded resistors and n grounded capacitors to generate n phases. We highlight the advantage of using OTAs because the resulting MSO circuitry is greatly reduced compared to using CDCTAs, while in both designs the high output impedances facilitate easy driving an external load without additional current buffers. The condition of oscillation and the frequency of oscillation are orthogonal and can be adjusted by varying a bias current. Finally, SPICE simulation results using integrated circuit technology of 0.35 mm show that the designed MSO provides odd/even phase signals that are equally spaced in phase and with equal amplitude.

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“…These analyses typically quantify the sensitivity of the objective function to changes in design variables (Guerra-Gómez et al 2013), near the optimal solution or otherwise (Liou et al 2013), providing information about the marginal impact of changes in the design-potentially valuable information for designers and other stakeholders.…”

Section: Optimization and Sensitivitymentioning

confidence: 99%

Heuristic assessment of bridge scour sensitivity using differential evolution: case study for linking floodplain encroachment and bridge scour

et al. 2016

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Background: Stakeholders are often required to make judgments and decisions about the tradeoffs between multiple competing objectives inherent in any engineering design. Design optimization can provide decision support for such situations, but often prescribes that only a single design solution be selected for a given set of preferences. The purpose of this study is to frame an objective function for assessing how the sensitivity of one objective relative to another varies in space and to demonstrate the method using a real site, with spatially-dependent floodplain access and bridge scour as the objective tradeoffs. Bridge scour is a widespread and expensive infrastructure problem, and the proposed methodology provides the ability to assess how the sensitivity of bridge scour to floodplain access varies at different locations in a river reach. Results:The site chosen for demonstration purposes was the Lewis Creek in the vicinity of the Quinlan Covered Bridge in Charlotte, VT. Differential evolution (DE) was wrapped around an existing HEC-RAS model. The decision variables corresponded to floodplain access at locations up and downstream of the bridge; the objective function was constructed so that optimal solutions may be interpreted as relative salience of floodplain access to bridge scour. Multiple weightings of the objectives were used to verify that the rank-order of locations was robust. The optimal DE solutions for all weightings resulted in the same sensitivity ranking of locations, providing evidence that the analysis is not dependent on a particular choice of stakeholder objective weightings. Conclusions:For systems with spatially dependent variables that impact a constraint or objective of interest to stakeholders, a tool for identifying locations where that variable has a particularly strong or weak impact (e.g. where floodplain access is more or less important for bridge scour) has obvious advantages. This study demonstrates a method for conducting such a sensitivity analysis using a numerical optimization scheme. On the real test site, the sensitivity ranking was consistent across multiple stakeholder weightings, providing evidence that the technique is robust, and one that can be used at multiple stages of design. This work demonstrates the utility of a novel interpretation of optimization results in which locations are ranked according to the relative sensitivity of competing objectives.

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Richardson extrapolation-based sensitivity analysis in the multi-objective optimization of analog circuits

Cited by 35 publications

References 19 publications

A hybrid approach for the sensitivity analysis of integrated inductors

A hybrid approach for the sensitivity analysis of integrated inductors

CDCTA and OTA Realizations of a Multi-phase Sinusoidal Oscillator

Heuristic assessment of bridge scour sensitivity using differential evolution: case study for linking floodplain encroachment and bridge scour

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