# 10/09 - Fourier Transform

From Class Wiki

Assuming the function is perodic with the period T | ||

## Contents

## Fourier Transform

Remember from 10/02 - Fourier Series

If we let

Remember | ||

## Definitions

## Examples

### Sifting property of the delta function

The dirac delta function is defined as any function, denoted as , that works for all variables that makes the following equation true:

- When dealing with , it behaves slightly different than dealing with . When dealing with , note that the delta function is . The is tacked onto the front. Thus, when dealing with , you will often need to multiply it by to cancel out the .

### More properties of the delta function

Let and | ||