Fourier Transform: Basics and Examples

This lecture covers the definition of Fourier transform and Fourier transform pairs, explaining when they are well defined for different types of signals such as absolutely integrable, periodic, and finite energy signals. The instructor demonstrates the application of the Fourier transform formula through examples like the Box Function, One-Sided Exponential, and Delta Function. The lecture also explores the Fourier transform of periodic functions, showcasing how it consists of Dirac delta functions. Additionally, Fourier Transform Pairs are discussed, presenting various pairs related to continuous-time Fourier transform, including Dirac delta function, constant function, harmonics, and more.