Welcome to Lecture 16 of the course "Digital Signal Processing" by Prof.David Koilpllai
Full Course: https://study.iitm.ac.in/es/course_pages/EE3101.html

Video Overview
In this lecture you will learn about the fundamental properties of discrete time systems focusing on linearity and time invariance also called shift invariance. We will show you how to test systems for these key properties using practical examples to build your understanding. You will also learn how any discrete time signal can be represented as a sum of scaled and shifted unit impulses which leads to the derivation of the convolution sum. This powerful tool allows you to determine the output of any linear time invariant LTI system when you know its input and impulse response. We will conclude with a clear worked example to help you learn how to calculate the convolution sum and understand the commutative property of convolution in signal processing.

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