## Simulation and Optimization of Analog Circuits (NM6016 TUM-Asia)

Vortragende/r (Mitwirkende/r) 0000005673 3 SWS Sommersemester 2021 Englisch Siehe TUMonline

### Beschreibung

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. Application of a commercial analog optimization tool (WiCkeD) to an analog design example. 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.

## Vollständiges Lehrangebot

Bachelorbereich: BSc-EI, MSE, BSEEIT

 WS SS Diskrete Mathematik für Ingenieure (BSEI, EI00460) Discrete Mathematics for Engineers (BSEEIT) (Schlichtmann) (Januar) O/P WS SS Entwurf digitaler Systeme mit VHDL u. System C (BSEI, EI0690) (Ecker) WS 20/21 block course after lecture period O/O SS Entwurfsverfahren für integrierte Schaltungen (MSE, EI43811) (Schlichtmann) -- WS Methoden der Unternehmensführung (BSEI, EI0481) (Weigel) -- WS Praktikum System- und Schaltungstechnik (BSEI, EI0664) (Schlichtmann et al.) -- SS Schaltungssimulation (BSEI, EI06691) (Gräb/Schlichtmann) O/O

Masterbereich: MSc-EI, MSCE, ICD

 SS Advanced Topics in Communication Electronics (MSCE, MSEI, EI79002) ? WS Aspects of Integrated Systems Technology & Design (MSCE, MSEI, EI5013) (Wurth) -- WS Electronic Design Automation (MSCE, MSEI, EI70610) (B. Li, Tseng) -- WS Design Methodology and Automation (ICD) (Schlichtmann) (Nov) -- WS SS Machine Learning: Methods and Tools (MSCE, MSEI, EI71040) (Ecker) O/O WS SS SS Mathematical Methods of Circuit Design (MSCE, MSEI, EI74042) (Gräb) Simulation and Optimization of Analog Circuits (ICD) (Gräb) (Mai) O/O O/P WS Mixed Integer Programming and Graph Algorithms in Engineering Problems (MSCE, MSEI, EI71059) (Tseng) -- WS SS Numerische Methoden der Elektrotechnik (MSEI, EI70440) (Schlichtmann oder Gräb) O/P WS WS SS Seminar VLSI-Entwurfsverfahren (MSEI, EI7750) (Schlichtmann/Müller-Gritschneder) Seminar on Topics in Electronic Design Automation (MSCE, EI77502) (Schlichtmann/Müller-Gritschneder) O WS SS Synthesis of Digital Systems (MSCE, MSEI, EI70640) (Müller-Gritschneder) O/P WS Testing Digital Circuits (MSCE, MSEI, EI50141) (Otterstedt) -- WS Timing of Digital Circuits (MSCE, MSEI, EI70550) (B. Li, Zhang) -- WS SS VHDL System Design Laboratory (MSCE, MSEI, EI7403) (Schlichtmann) O/O

Die Spalte ganz rechts bezeichnet die Form der Vorlesung/Prüfung im SS 2021. O=online, P=physische Präsenz

The column on the very right denotes the type of course/exam in SS 2021. O=online, P=physical presence

`MSE: Munich School of Engineering (TUM)`

`BSEEIT: Bachelor in Electrical Engineering and Information Technology (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`

Aktuelle Infos zur Lehre/Current information on teaching: https://www.tum.de/die-tum/aktuelles/coronavirus/studium/, www.ei.tum.de