NOC:Networks and Systems

Lecture 1 - Functions in circuits - constant and sinusoidal functions

Lecture 2 - Functions in circuits - Exponential function

Lecture 3 - Complex numbers and other topics

Lecture 4 - Systems, Signals, Networks

Lecture 5 - Representation and Classification of Systems

Lecture 6 - Linear systems

Lecture 7 - Time-invariance and causality

Lecture 8 - Signals, Elementary continuous signals

Lecture 9 - Complex frequencies of signals

Lecture 10 - Discontinuous signals - step, ramp

Lecture 11 - Unit impulse or delta function

Lecture 12 - Basic discrete-time signals

Lecture 13 - Examples of Signals

Lecture 14 - Introduction to Systems, Complementary Functions, Initial Conditions

Lecture 15 - Special initial conditions

Lecture 16 - Characterization of a linear system

Lecture 17 - Impulse Response

Lecture 18 - Evaluating the Convolution Integral

Lecture 19 - Worked-out Problems

Lecture 20 - Introduction and Motivation

Lecture 21 - Evaluating Fourier series coefficients

Lecture 22 - Symmetry conditions

Lecture 23 - Symmetry Condition Examples

Lecture 24 - Application to Network Analysis

Lecture 25 - Exponential Fourier Series

Lecture 26 - Frequency Spectrum

Lecture 27 - Examples

Lecture 28 - Signal Power and Related Ideas

Lecture 29 - Convergence of Fourier Series

Lecture 30 - Week 1 Solutions

Lecture 31 - Hints for Assignment 2

Lecture 32 - Hints for Assignment 3

Lecture 33 - Additional Properties of Fourier Series

Lecture 34 - Exercises on Fourier Series

Lecture 35 - Lab Demo

Lecture 36 - From Fourier Series to Fourier Transform

Lecture 37 - Continuous Time Fourier Transform

Lecture 38 - Fourier Transform Examples

Lecture 39 - Examples and Some Properties of Fourier Transform

Lecture 40 - Properties of Fourier Transform (contd.)

Lecture 41 - More Fourier Transform Properties

Lecture 42 - Energy Considerations

Lecture 43 - Energy Considerations II

Lecture 44 - Helpful Relationships for Inverse Fourier Transform

Lecture 45 - Fourier transform of signals that are not absolutely integrable

Lecture 46 - Fourier Transform of Periodic Signals, Unit Step and Signum Function

Lecture 47 - Truncated Sine wave and Convolution properties

Lecture 48 - Integration in Time domain

Lecture 49 - Application of continuous-time Fourier transform to system analysis

Lecture 50 - Comments about transient analysis

Lecture 51 - Sampling Theorem and Exercises on Fourier Transforms

Lecture 52 - Introduction to Laplace Transform

Lecture 53 - Laplace transforms of important functions

Lecture 54 - Recap, Poles / Zeros and Laplace Transform Notation

Lecture 55 - Properties: Linearity, differentiation in the time domain

Lecture 56 - Application and properties of Laplace transform

Lecture 57 - More properties of Laplace transform: Shift in frequency domain

Lecture 58 - More properties of Laplace transform

Lecture 59 - Properties: Division by `t, Initial value theorem, Final value theorem

Lecture 60 - Properties: Convolution in time domain

Lecture 61 - Complex convolution and periodic functions

Lecture 62 - Examples of Laplace transform

Lecture 63 - Laplace transform examples

Lecture 64 - Inverse Laplace transform

Lecture 65 - Partial fractions: general case

Lecture 66 - Inverse Laplace Transform and Contour Integration

Lecture 67 - Relating Fourier and Laplace Transform

Lecture 68 - Exercises

Lecture 69 - Applications of Laplace transform to network transients

Lecture 70 - Laplace transform for resistor and system analysis

Lecture 71 - Laplace transform method for mutual inductance

Lecture 72 - Mutual Inductance Continued

Lecture 73 - Examples and Advantages of L-transform

Lecture 74 - General LTI systems and more about H(s)

Lecture 75 - Many facets of the system function (contd)

Lecture 76 - Frequency response and stability

Lecture 77 - Full circuit example

Lecture 78 - Exercises