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

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Hours of videos

2166 years, 5 months

Units & Quizzes

78

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Certificate of Completion

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 Currilcum

    • 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