Learn · NPTEL

Course11710611678 lectures

Networks and systems

Prof. Andrew Thangaraj and Prof. C. S. Ramalingam · IIT Madras

Start with lecture 1 At NPTEL

Lectures

Week 0: Prerequisites

  1. Functions in circuits - constant and sinusoidal functions Video
  2. Functions in circuits - Exponential function Video
  3. Complex numbers and other topics Video

Week 1: Introductory Concepts I

  1. Systems, Signals, Networks Video
  2. Representation and Classification of Systems Video
  3. Linear systems Video

Week 1: Introductory Concepts II

  1. Time-invariance and causality Video
  2. Signals, Elementary continuous signals Video

Week 1: Introductory Concepts III

  1. Complex frequencies of signals Video
  2. Discontinuous signals - step, ramp Video
  3. Unit impulse or delta function Video
  4. Basic discrete-time signals Video
  5. Week 1 Solutions Video

Week 2: Introductory Concepts IV

  1. Examples of Signals Video
  2. Introduction to Systems, Complementary Functions, Initial Conditions Video

Week 2: Introductory Concepts V

  1. Special initial conditions Video
  2. Characterization of a linear system Video

Week 2: Introductory Concepts VI

  1. Impulse Response Video
  2. Evaluating the Convolution Integral Video
  3. Worked-out Problems Video
  4. Hints for Assignment 2 Video

Week 3: Fourier Series I

  1. Introduction and Motivation Video

Week 3: Fourier Series II

  1. Evaluating Fourier series coefficients Video
  2. Symmetry conditions Video

Week 3: Fourier Series III

  1. Symmetry Condition Examples Video
  2. Application to Network Analysis Video
  3. Hints for Assignment 3 Video

Week 4: Fourier Series IV

  1. Exponential Fourier Series Video

Week 4: Fourier Series V

  1. Frequency Spectrum Video
  2. Examples Video

Week 4: Fourier Series VI

  1. Signal Power and Related Ideas Video
  2. Convergence of Fourier Series Video

Week5: Fourier Series VII

  1. Additional Properties of Fourier Series Video
  2. Exercises on Fourier Series Video
  3. Lab Demo Video

Week5: Fourier Transform I

  1. From Fourier Series to Fourier Transform Video

Week5: Fourier Transform II

  1. Continuous Time Fourier Transform Video
  2. Fourier Transform Examples Video

Week 6: Fourier Transform III

  1. Examples and Some Properties of Fourier Transform Video
  2. Properties of Fourier Transform (contd.) Video

Week 6: Fourier Transform IV

  1. More Fourier Transform Properties Video
  2. Energy Considerations Video

Week 6: Fourier Transform V

  1. Energy Considerations II Video
  2. Helpful Relationships for Inverse Fourier Transform Video
  3. Fourier transform of signals that are not absolutely integrable Video

Week 7: Fourier Transform VI

  1. Fourier Transform of Periodic Signals, Unit Step and Signum Function Video

Week 7: Fourier Transform VII

  1. Truncated Sine wave and Convolution properties Video
  2. Integration in Time domain Video

Week 7: Fourier Transform VIII

  1. Application of continuous-time Fourier transform to system analysis Video
  2. Comments about transient analysis Video

Week 8 - Fourier Transform IX

  1. Sampling Theorem and Exercises on Fourier Transforms Video

Week 8 - Laplace Transform I

  1. Introduction to Laplace Transform Video

Week 8 - Laplace Transform II

  1. Laplace transforms of important functions Video
  2. Recap, Poles / Zeros and Laplace Transform Notation Video
  3. Properties: Linearity, differentiation in the time domain Video

Week 9: Laplace Transform III

  1. Application and properties of Laplace transform Video
  2. More properties of Laplace transform: Shift in frequency domain Video

Week 9: Laplace Transform IV

  1. More properties of Laplace transform Video

Week 9: Laplace Transform V

  1. Properties: Division by `t, Initial value theorem, Final value theorem Video
  2. Properties: Convolution in time domain Video

Week 10: Laplace Transform VI

  1. Complex convolution and periodic functions Video
  2. Examples of Laplace transform Video

Week 10: Laplace Transform VII

  1. Laplace transform examples Video
  2. Inverse Laplace transform Video

Week 10: Laplace Transform VIII

  1. Partial fractions: general case Video
  2. Inverse Laplace Transform and Contour Integration Video
  3. Relating Fourier and Laplace Transform Video
  4. Exercises Video

Week 11: Application of Laplace Transforms I

  1. Applications of Laplace transform to network transients Video

Week 11: Application of Laplace Transforms II

  1. Laplace transform for resistor and system analysis Video
  2. Laplace transform method for mutual inductance Video

Week 11: Application of Laplace Transforms III

  1. Mutual Inductance Continued Video
  2. Examples and Advantages of L-transform Video

Week 12: Application of Laplace Transforms IV

  1. General LTI systems and more about H(s) Video

Week 12: Application of Laplace Transforms V

  1. Many facets of the system function (contd) Video
  2. Frequency response and stability Video

Week 12: Application of Laplace Transforms VI

  1. Full circuit example Video
  2. Exercises. Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Electronics & Communication Engineering
Taught by
Prof. Andrew Thangaraj, Prof. C. S. Ramalingam
Level
Undergraduate
Language
English
Subjects
Engineering, Society and politics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
Who can watch
NPTEL gives no rating. Invisible Network shows it to Teens profiles and older, judged from what the source says about it. How courses are placed