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Last updated:
September 25, 2023
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FREE
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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 continuoustime 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 – TimeInvariance 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 DiscreteTime 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 – Workedout 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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