NPTEL :: Electronics & Communication Engineering - NOC:Networks and Systems(Course sponsored by Aricent)

Modules / Lectures

Week 0: Prerequisites
- Functions in circuits - constant and sinusoidal functions
- Functions in circuits - Exponential function
- Complex numbers and other topics
Week 1: Introductory Concepts I
- Systems, Signals, Networks
- Representation and Classification of Systems
- Linear systems
Week 1: Introductory Concepts II
- Time-invariance and causality
- Signals, Elementary continuous signals
Week 1: Introductory Concepts III
- Complex frequencies of signals
- Discontinuous signals - step, ramp
- Unit impulse or delta function
- Basic discrete-time signals
- Week 1 Solutions
Week 2: Introductory Concepts IV
- Examples of Signals
- Introduction to Systems, Complementary Functions, Initial Conditions
Week 2: Introductory Concepts V
- Special initial conditions
- Characterization of a linear system
Week 2: Introductory Concepts VI
- Impulse Response
- Evaluating the Convolution Integral
- Worked-out Problems
- Hints for Assignment 2
Week 3: Fourier Series I
- Introduction and Motivation
Week 3: Fourier Series II
- Evaluating Fourier series coefficients
- Symmetry conditions
Week 3: Fourier Series III
- Symmetry Condition Examples
- Application to Network Analysis
- Hints for Assignment 3
Week 4: Fourier Series IV
- Exponential Fourier Series
Week 4: Fourier Series V
- Frequency Spectrum
- Examples
Week 4: Fourier Series VI
- Signal Power and Related Ideas
- Convergence of Fourier Series
Week5: Fourier Series VII
- Additional Properties of Fourier Series
- Exercises on Fourier Series
- Lab Demo
Week5: Fourier Transform I
- From Fourier Series to Fourier Transform
Week5: Fourier Transform II
- Continuous Time Fourier Transform
- Fourier Transform Examples
Week 6: Fourier Transform III
- Examples and Some Properties of Fourier Transform
- Properties of Fourier Transform (contd.)
Week 6: Fourier Transform IV
- More Fourier Transform Properties
- Energy Considerations
Week 6: Fourier Transform V
- Energy Considerations II
- Helpful Relationships for Inverse Fourier Transform
- Fourier transform of signals that are not absolutely integrable
Week 7: Fourier Transform VI
- Fourier Transform of Periodic Signals, Unit Step and Signum Function
Week 7: Fourier Transform VII
- Truncated Sine wave and Convolution properties
- Integration in Time domain
Week 7: Fourier Transform VIII
- Application of continuous-time Fourier transform to system analysis
- Comments about transient analysis
Week 8 - Fourier Transform IX
- Sampling Theorem and Exercises on Fourier Transforms
Week 8 - Laplace Transform I
- Introduction to Laplace Transform
Week 8 - Laplace Transform II
- Laplace transforms of important functions
- Recap, Poles / Zeros and Laplace Transform Notation
- Properties: Linearity, differentiation in the time domain
Week 9: Laplace Transform III
- Application and properties of Laplace transform
- More properties of Laplace transform: Shift in frequency domain
Week 9: Laplace Transform IV
- More properties of Laplace transform
Week 9: Laplace Transform V
- Properties: Division by `t, Initial value theorem, Final value theorem
- Properties: Convolution in time domain
Week 10: Laplace Transform VI
- Complex convolution and periodic functions
- Examples of Laplace transform
Week 10: Laplace Transform VII
- Laplace transform examples
- Inverse Laplace transform
Week 10: Laplace Transform VIII
- Partial fractions: general case
- Inverse Laplace Transform and Contour Integration
- Relating Fourier and Laplace Transform
- Exercises
Week 11: Application of Laplace Transforms I
- Applications of Laplace transform to network transients
Week 11: Application of Laplace Transforms II
- Laplace transform for resistor and system analysis
- Laplace transform method for mutual inductance
Week 11: Application of Laplace Transforms III
- Mutual Inductance Continued
- Examples and Advantages of L-transform
Week 12: Application of Laplace Transforms IV
- General LTI systems and more about H(s)
Week 12: Application of Laplace Transforms V
- Many facets of the system function (contd)
- Frequency response and stability
Week 12: Application of Laplace Transforms VI
- Full circuit example
- Exercises.

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Assignments (12)

Module Name	Download	Description	Download Size
Week 1: Introductory Concepts I	Assignment-1	Assignment-1	275 kb
Week 2: Introductory Concepts V	Assignment-2	Assignment-2	4000 kb
Week 3: Fourier Series I	Assignment-3	Assignment-3	155 kb
Week 4: Fourier Series IV	Assignment-4	Assignment-4	193 kb
Week5: Fourier Series VII	Assignment-5	Assignment-5	183 kb
Week 6: Fourier Transform III	Assignment-6	Assignment-6	151 kb
Week 7: Fourier Transform VI	Assignment-7	Assignment-7	191 kb
Week 8 - Fourier Transform IX	Assignment-8	Assignment-8	177 kb
Week 9: Laplace Transform III	Assignment-9	Assignment-9	114 kb
Week 10: Laplace Transform VII	Assignment-10	Assignment-10	128 kb
Week 11: Application of Laplace Transforms I	Assignment-11	Assignment-11	384 kb
Week 12: Application of Laplace Transforms IV	Assignment-12	Assignment-12	125 kb