IIT Madras Signals and Systems Lectures
EE2101103 lectures12 weeks
Weeks
- Week 18 lecturesIntroduction to Signals and Systems · Signal Analysis is Representation · Continuous-Time and Discrete-Time Signals · Examples of Continuous-Time Signals · Time Shifting · Time Scaling · Time Shifting and Scaling · Summary of Time Shift and Scale
- Week 27 lecturesProblem Solving · Adding-Subtracting Signals · Examples of Signal Adding-Subtracting · Complex-valued Signals · Phasors · Revisiting Phasors · Summary and Examples of Phasors
- Week 39 lecturesEven & Odd Symmetry · Orthogonal Signals · Examples of Even/Odd Signals · Conjugate Symmetry · Periodicity · Manipulation of Periodic Signals · Examples of Periodic SIgnals · Energy of Signals · Power of Signals
- Week 48 lecturesTime Scaling of Energy/Power Signals · Dirac Delta Signal · Examples of Dirac Delta Signal · Summary of Signals · Matlab Demo of Signals · Problem Solving 1 · Problem Solving 2 · Introduction to Simulation of Signals and Systems in Matlab
- Week 59 lecturesIntroduction to Systems · Causality · Memory of Systems · Invertible Systems · Stable Systems · Time Invariant Systems · Linear Systems · LTI Systems · Convolution
- Week 610 lecturesProperties of Convolution- Commutativity & Associativity · Properties of Convolution- Distributivity · Convolution with Dirac Delta · Matlab Demo of Convolution · Memory and Causality of LTI Systems · Invertibility and Stability of LTI Systems · Examples of LTI Systems · Unit Step Response of LTI Systems · Example of LTI System Analysis · Problem Solving
- Week 78 lecturesSummary of Systems · Fourier Analysis · Phasors and Fourier Analysis · Vectors and Fourier Analysis · Fourier Series · Symmetry in Fourier Series · Spectrum of Periodic Signals · Effect of Time Scaling and Shifting on Fourier Series
- Week 88 lecturesConvolution of Fourier Series Coefficients · Parseval's Theorem for Fourier Series · Fourier Series in LTI Systems · Examples of Fourier Series · Dirichlet's Conditions · Problem Solving - 1 · Problem Solving - 2 · Matlab Demo of Fourier Series
- Week 98 lecturesSummary of Fourier Series · Fourier Analysis of Aperiodic Signals · Fourier Transform · The Uncertainty Principle · Properties of Fourier Transform · Symmetry in Fourier Transform · Duality of Fourier Transform · Convolution and Fourier Transform
- Week 108 lecturesFourier Transform in LTI Systems · LTI System Properties from its Spectrum · The Ideal Low Pass Filter · Fourier Transform of Step Signal · Fourier Transform of Periodic Signals · Fourier Series and Transform · Examples of Fourier Transform · Solving ODEs using Fourier Transform
- Week 1110 lecturesFourier Transform for Circuit Analysis · Problem Solving · Matlab Demo of Fourier Transform · Summary of Fourier Analysis · Laplace Transform · Region of Convergence · Pole-Zero Plots · ROC of Rational Laplace Transforms · Geometric Interpretation of Pole-Zero Plot · Bode Plot
- Week 1210 lecturesProperties of Laplace Transform · Convolution in Laplace Transform · Laplace Transform of Derivatives and Integrals · Lapalce Transform for LTI Systems · Initial and Final Value Theorems · Problem Solving - 1 · Problem Solving - 2 · Laplace Transform in Circuit Analysis · Problem Solving - 3 · Summary of Laplace Transform