KUK - LMS

Syllabus

MODULE NO / UNIT	COURSE SYLLABUS CONTENTS OF MODULE	NOTES
Course Code: EL 11 Course Name: Mathematical & Computational Techniques in Electronics
1	Role of simulation in IC design, DC Analysis of linear networks, Node analysis, Loop analysis, Hybrid formulation techniques, 2b Method, Tableau Method, Modified node analysis, Transient analysis of linear and non-linear circuits, Possible formulation techniques, Numerical solution of ordinary differential equations, Associated circuit models for inductors and capacitors, Use of associated circuit models
2	DC analysis of Non-Linear circuits, DC analysis of Non-linear equation in one unknown, Newton-Raphson techniques for many variables, linearized equivalent for Newton-Raphson technique, General Consideration in solving Non-linear Circuits, Network graphs: basic concepts, formation of incidence matrix and its properties, Cut set matrix, State variable analysis: Introduction, State Space model, State-Space model applicable for electrical circuits.
3	Laplace transforms: Definition, Fundamental rules, Operational methods in applied mathematics; Integral transform, Application of the operational calculus to the solution of partial differential equations, Evaluation of integrals, Laplace transforms of periodic functions, Applications of the Laplace transform to the solution of linear integral equations, Systems of linear differential equations with constant coefficient, solving electrical circuits using Laplace transform.
4	Digital signal analysis, Continuous and discrete-time signal, sampling theorem, Fourier series, Examples of Fourier expansions of functions, Fourier transform and its properties, applications of Fourier transform in circuit analysis, Discrete Fourier transform and its properties, DFT and Fourier transform, Relation to the Fourier transform: Aliasing, DFT and Fourier series, Fast Fourier transform, Redundancy in the DFT, Z-transform: definition, Z-transforms of some common sequences, Properties of the Z-transforms.