Simulation and Optimization of Analog Circuits (NM6016 TUM-Asia)
| Lecturer (assistant) | |
|---|---|
| Number | 0000005673 |
| Type | lecture with integrated exercises |
| Duration | 3 SWS |
| Term | Sommersemester 2025 |
| Language of instruction | English |
| Position within curricula | See TUMonline |
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(No dates found)
Admission information
Description
Principles of circuit simulation: DC/AC/TR analysis. Basic analog optimization tasks: worst-case analysis, yield analysis, nominal design, design centering. Basic principles of optimization: optimality conditions, line search, Nelder-Mead method, Newton approach, Conjugate Gradient approach, Quadratic Programming, Sequential Quadratic Programming. Structural analysis of analog circuits.
i) Circuit Simulation (5 hrs)
DC analysis; AC analysis, Newton-Raphson; TR analysis, numerical integration; modified nodal analysis, linearized and discretized circuit model.
ii) Worst-Case Analysis (10 hrs)
Lagrange function, optimality conditions (constrained, unconstrained); classical worst-case analysis, realistic worst-case analysis, general worst-case analysis.
iii) Yield Analysis (10 hrs)
Multivariate statistical distribution, transformation of distribution functions, expectation values, estimation of expectation values; statistical yield analysis, geometric yield analysis, Monte-Carlo analysis.
iv) Circuit Sizing (5hrs)
Design objectives and derivatives, nominal design, tolerance design; yield optimization; design centering; structure of an optimization process.
v) Basics of numerical optimization (10 hrs)
Univariate optimization, line search, multivariate optimization, polytope method, coordinate search; Newton approach (Quasi-Newton, Levenberg-Marquardt, Least-Squares, Conjugate Gradient; Quadratic Programming (equality/inequality constraints), Sequential Quadratic Programming (SQP).
vi) Structural Analysis of Analog Circuits (5 hrs)
Hierarchical analog building block library, sizing rules.
i) Circuit Simulation (5 hrs)
DC analysis; AC analysis, Newton-Raphson; TR analysis, numerical integration; modified nodal analysis, linearized and discretized circuit model.
ii) Worst-Case Analysis (10 hrs)
Lagrange function, optimality conditions (constrained, unconstrained); classical worst-case analysis, realistic worst-case analysis, general worst-case analysis.
iii) Yield Analysis (10 hrs)
Multivariate statistical distribution, transformation of distribution functions, expectation values, estimation of expectation values; statistical yield analysis, geometric yield analysis, Monte-Carlo analysis.
iv) Circuit Sizing (5hrs)
Design objectives and derivatives, nominal design, tolerance design; yield optimization; design centering; structure of an optimization process.
v) Basics of numerical optimization (10 hrs)
Univariate optimization, line search, multivariate optimization, polytope method, coordinate search; Newton approach (Quasi-Newton, Levenberg-Marquardt, Least-Squares, Conjugate Gradient; Quadratic Programming (equality/inequality constraints), Sequential Quadratic Programming (SQP).
vi) Structural Analysis of Analog Circuits (5 hrs)
Hierarchical analog building block library, sizing rules.
Links
Bachelorbereich: BSc-EI, BSES, BSEDE
| WS | SS | Diskrete Mathematik für Ingenieure (BSEI, EI00460) Discrete Mathematics for Engineers (BSEDE ) (Schlichtmann) (Januar) |
| WS | SS | Entwurf digitaler Systeme mit VHDL u. System C (BSEI, EI0690) (Ecker) |
| SS | Entwurfsverfahren für integrierte Schaltungen (BSES, EI43811) (Schlichtmann) | |
| SS | Schaltungssimulation (BSEI, EI06691) (Gräb/Schlichtmann) |
Masterbereich: MSc-EI, MSCE, ICD
| SS | Advanced Topics in Communication Electronics (MSCE, MSEI, EI79002) | ||
| SS | Electronic Design Automation (MSCE, MSEI, EI70610) (Schlichtmann, Tseng) | ||
| WS | Design Methodology and Automation (ICD) (Schlichtmann) (Nov) | ||
| WS | SS | Embedded System Design for Machine Learning (MSCE, MSEI, EI71040) (Ecker) | |
| SS | Simulation and Optimization of Analog Circuits (ICD) (Gräb) (Mai) | ||
| SS | Mixed Integer Programming and Graph Algorithms in Engineering Problems (MSCE, MSEI, EI71059) (Tseng) | ||
| WS | SS | Numerische Methoden der Elektrotechnik (MSEI, EI70440) (Schlichtmann oder Truppel) | |
WS WS | SS | Seminar VLSI-Entwurfsverfahren (MSEI, EI7750) (Schlichtmann) Seminar on Topics in Electronic Design Automation (MSCE, EI77502) (Schlichtmann) | |
| WS | SS | Synthesis of Digital Systems (MSCE, MSEI, EI70640) (Geier) | |
| WS | Testing Digital Circuits (MSCE, MSEI, EI50141) (Otterstedt) | ||
| WS | SS | VHDL System Design Laboratory (MSCE, MSEI, EI7403) (Schlichtmann) |
BSES: Bachelor of Science Engineering Science (TUM-ED)
BSEDE: Bachelor of Science in Electronics and Data Engineering (TUM-Asia)
ICD: Master of Science in Integrated Circuit Design (TUM-Asia)
MSCE: Master of Science in Communications Engineering (TUM)
MSEI: Master of Science in Elektrotechnik und Informationstechnik
BSEI: Bachelor of Science in Elektrotechnik und Informationstechnik