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

被引：36

作者：

Guerra-Gomez, I. ^{[1
,3
]}

Tlelo-Cuautle, E. ^{[1
]}

de la Fraga, Luis G. ^{[2
]}

机构：

[1] INAOE, Dept Elect, Puebla 72840, Mexico

[2] CINVESTAV, Dept Comp Sci, Mexico City 07360, DF, Mexico

[3] SEMTECH Snowbush Mexico Design Ctr, Mexico City, DF, Mexico

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 222卷

关键词：

Sensitivity analysis; Circuit optimization; Evolutionary algorithms; Richardson extrapolation; Analog integrated circuits; EFFICIENT;

D O I：

10.1016/j.amc.2013.07.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

The feasible solutions provided by a multi-objective evolutionary algorithm (MOEA) in the optimal sizing of analog integrated circuits (ICs) can be very sensitive to process variations. Therefore, to select the optimal sizes of metal-oxide-semiconductor field-effect-transistors (MOSFETs) but with low sensitivities, we propose to perform multi-parameter sensitivity analysis. However, since MOEAs generate feasible solutions without an explicit equation, then we show the application of Richardson extrapolation to approximate the partial derivatives associated to the sensitivities of the performances of an amplifier with respect to the sizes of every MOSFET. The proposed multi-parameter sensitivity analysis is verified through the optimization of a recycled folded cascode (RFC) operational transconductance amplifier (OTA). We show the behavior of the multi-parameter sensitivity approach versus generations. The final results show that the optimal sizes, selected after executing the sensitivity approach, guarantee the lowest sensitivities values while improving the performances of the RFC OTA. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：167 / 176

页数：10

共 23 条

[1]

The Recycling Folded Cascode: A General Enhancement of the Folded Cascode Amplifier [J].

Assaad, Rida S. ;

Silva-Martinez, Jose .

IEEE JOURNAL OF SOLID-STATE CIRCUITS, 2009, 44 (09) :2535-2542

[2]

Castro-Lopez R., 2009, ELECTRON LETT, V45, P45

[3]

An integrated layout-synthesis approach for analog ICs [J].

Castro-Lopez, Rafael ;

Guerra, O. ;

Roca, E. ;

Fernandez, F. V. .

IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2008, 27 (07) :1179-1189

[4]

Dahlquist G., 1974, NUMERICAL METHODS

[5]

Differential Evolution: A Survey of the State-of-the-Art [J].

Das, Swagatam ;

Suganthan, Ponnuthurai Nagaratnam .

IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION, 2011, 15 (01) :4-31

[6]

A fast and elitist multiobjective genetic algorithm: NSGA-II [J].

Deb, K ;

Pratap, A ;

Agarwal, S ;

Meyarivan, T .

IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION, 2002, 6 (02) :182-197

[7]

Efficient implementation of stable Richardson Extrapolation algorithms [J].

Farago, Istvan ;

Havasi, Agnes ;

Zlatev, Zahari .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (08) :2309-2325

[8]

Ghausi M.S., 1981, MODERN FILTER DESIGN

[9]

Pareto optimization of analog circuits considering variability [J].

Graeb, H. ;

Mueller-Gritschneder, D. ;

Schlichtmann, U. .

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2009, 37 (02) :283-299

[10]

Guerra-Gomez I., 2009, 2009 16th IEEE International Conference on Electronics, Circuits and Systems (ICECS 2009), P259, DOI 10.1109/ICECS.2009.5410989

← 1 2 3 →