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

Lecturer (assistant) 0000005673 3 SWS Sommersemester 2024 English See TUMonline

### 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.

## All courses

Bachelorbereich: BSc-EI, MSE, 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 (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)

Masterbereich: MSc-EI, MSCE, ICD

 SS Advanced Topics in Communication Electronics (MSCE, MSEI, EI79002) 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) WS SS SS Mathematical Methods of Circuit Design (MSCE, MSEI, EI74042) (Gräb) Simulation and Optimization of Analog Circuits (ICD) (Gräb) (Mai) 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) WS WS SS Seminar VLSI-Entwurfsverfahren (MSEI, EI7750) (Schlichtmann/Müller-Gritschneder) Seminar on Topics in Electronic Design Automation (MSCE, EI77502) (Schlichtmann/Müller-Gritschneder) WS SS Synthesis of Digital Systems (MSCE, MSEI, EI70640) (Müller-Gritschneder) 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)

`MSE: Munich School of Engineering (TUM)`

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`

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