This document provides an overview of the Fourier transform and its properties. It introduces the Fourier integral and transform, then discusses six key properties: linearity, time scaling, time reversal, time shifting, frequency shifting (modulation), and symmetry. The document is presented by Prof. OP Singh and covers introduction to Fourier transforms, their integral and properties as its main topics.

1. SIGNALS AND
SYSTEMS
FOURIER TRANSFORM
PREPARED BY
Prof.(Dr.) OP Singh

2. CONTENTS
1. Introduction
2. Fourier Integral
3. Fourier Transform
4. Properties
5. Convolution
6. Parseval’s Thereom

14. PROPERTIES
1. Linearity
2. Time Scaling
3. Time Reversal
4. Time Shifting
5. Frequency Shifting (Modulation)
6. Symmetry Property

15. THANK
YOU