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September 25, 2023

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Description

Networks and Systems. Instructors: Prof. V.G.K. Murti, Dr. Andrew Thangaraj, and Prof. C.S. Ramalingam, IIT Madras.

Networks, signals and systems form the basic foundations of electrical engineering. Any electrical engineering product handles signals using electrical networks and circuits, which are called systems. Having a good understanding of signals and their time/frequency domain characterization is an absolute must for any electrical engineer. This course is a basic introduction to discrete and continuous-time signals, Fourier series, Fourier transforms and Laplace transforms. (from nptel.ac.in)

Course Curriculum

    • Prerequisite 01 – Functions in Circuits – Constant and Sinusoidal Functions Unlimited
    • Prerequisite 02 – Functions in Circuits – Exponential Functions Unlimited
    • Prerequisite 03 – Complex Numbers and Other Topics Unlimited
    • Lecture 01 – Systems, Signals, Networks Unlimited
    • Lecture 02 – Representation and Classification of Systems Unlimited
    • Lecture 03 – Linear Systems Unlimited
    • Lecture 04 – Time-Invariance and Causality Unlimited
    • Lecture 05 – Signals, Elementary Continuous Signals Unlimited
    • Lecture 06 – Complex Frequencies of Signals Unlimited
    • Lecture 07 – Discontinuous Signals – Step, Ramp Unlimited
    • Lecture 08 – Unit Impulse or Delta Function Unlimited
    • Lecture 09 – Basic Discrete-Time Signals Unlimited
    • Assignment 01 – Networks and Systems: Solutions to Assignment 1 Unlimited
    • Lecture 10 – Examples of Signals Unlimited
    • Lecture 11 – Introduction to Systems, Complementary Functions, Initial Conditions Unlimited
    • Lecture 12 – Special Initial Conditions Unlimited
    • Lecture 13 – Characterization of a Linear System Unlimited
    • Lecture 14 – Impulse Response Unlimited
    • Lecture 15 – Evaluating the Convolution Integral Unlimited
    • Lecture 16 – Worked-out Problems Unlimited
    • Assignment 02 – Networks and Systems: Hints for Assignment 2 Unlimited
    • Lecture 17 – Introduction and Motivation Unlimited
    • Lecture 18 – Evaluating Fourier Series Coefficients Unlimited
    • Lecture 19 – Symmetry Conditions Unlimited
    • Lecture 20 – Symmetry Condition Examples Unlimited
    • Lecture 21 – Application to Network Analysis Unlimited
    • Assignment 03 – Networks and Systems: Hints for Assignment 3 Unlimited
    • Lecture 22 – Exponential Fourier Series Unlimited
    • Lecture 23 – Frequency Spectrum Unlimited
    • Lecture 24 – Frequency Spectrum: Examples Unlimited
    • Lecture 25 – Signal Power and Related Ideas Unlimited
    • Lecture 26 – Convergence of Fourier Series Unlimited
    • Lecture 27 – Additional Properties of Fourier Series Unlimited
    • Lecture 28 – Exercises on Fourier Series Unlimited
    • Lecture 29 – Demonstration Experiments on Fourier Series Unlimited
    • Lecture 30 – From Fourier Series to Fourier Transform Unlimited
    • Lecture 31 – Continuous Time Fourier Transform Unlimited
    • Lecture 32 – Fourier Transform Examples Unlimited
    • Lecture 33 – Examples and Some Properties of Fourier Transform Unlimited
    • Lecture 34 – Properties of Fourier Transform (cont.) Unlimited
    • Lecture 35 – Properties of Fourier Transform (cont.) Unlimited
    • Lecture 36 – Energy Considerations Unlimited
    • Lecture 37 – Energy Considerations (cont.) Unlimited
    • Lecture 38 – Helpful Relationships for Inverse Fourier Transform Unlimited
    • Lecture 39 – Fourier Transform of Signals that are Not Absolutely Integrable Unlimited
    • Lecture 40 – Fourier Transform of Periodic Signals, Unit Step and Signum Function Unlimited
    • Lecture 41 – Fourier Transform of Truncated Sinusoid, Convolution Properties of Fourier Transform Unlimited
    • Lecture 42 – Integration in Time Domain Unlimited
    • Lecture 43 – Application of Continuous Time Fourier Transform to System Analysis Unlimited
    • Lecture 44 – Comments about Transient Analysis Unlimited
    • Lecture 45 – Sampling Theorem and Exercises on Fourier Transforms Unlimited
    • Lecture 46 – Introduction to Laplace Transform Unlimited
    • Lecture 47 – Laplace Transforms of Important Functions Unlimited
    • Lecture 48 – Poles/Zeros and Laplace Transform Notation Unlimited
    • Lecture 49 – Properties: Linearity, Differentiation in the Time Domain Unlimited
    • Lecture 50 – Application and Properties of Laplace Transform Unlimited
    • Lecture 51 – Properties of Laplace Transform: Shift in Frequency Domain Unlimited
    • Lecture 52 – Properties of Laplace Transform: Shift in Time Domain, Scaling Unlimited
    • Lecture 53 – Properties: Division by ‘t’ Initial Value Theorem, Final Value Theorem Unlimited
    • Lecture 54 – Properties: Convolution in Time Domain Unlimited
    • Lecture 55 – Complex Convolution and Periodic Functions Unlimited
    • Lecture 56 – Examples of Laplace Transform Unlimited
    • Lecture 57 – Examples of Laplace Transform (cont.) Unlimited
    • Lecture 58 – Inverse Laplace Transform Unlimited
    • Lecture 59a – Partial Fraction Expansion: Multiple Poles (General Case) Unlimited
    • Lecture 59b – Inverse Laplace Transform and Contour Integration Unlimited
    • Lecture 59c – Relationship between Fourier and Laplace Transforms Unlimited
    • Lecture 59d – Exercises on Laplace Transforms Unlimited
    • Lecture 60 – Applications of Laplace Transform to Network Transients Unlimited
    • Lecture 61 – Laplace Transform for Resistor and System Analysis Unlimited
    • Lecture 62 – Laplace Transform Method for Mutual Inductance Unlimited
    • Lecture 63a – Mutual Inductance Example (cont.) Unlimited
    • Lecture 63b – Examples and Advantages of Laplace Transform Unlimited
    • Lecture 64 – General LTI Systems and The Many Facets of the System Function H(s) Unlimited
    • Lecture 65 – The Many Facets of the System Function H(s) (cont.) Unlimited
    • Lecture 66 – Frequency Response and Stability Unlimited
    • Lecture 67a – System Analysis Example Unlimited
    • Lecture 67b – Exercies Unlimited

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