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Fourier Transform WebQuest

  
   
Introduction
Task
Guide
Examples
Activity
  
   

 

Two Classic Examples

In this page we see how the number of terms in the Fourier series affects the approximation to the absolute value function and the step function.

 

standard step fn graph

algebraic definition for the step fn
crude approximation to it

using 1 term
a little better approximation to it

using 2 terms
even better approximation to it

increasing the terms
best approximation to it on this page

increasing the terms even more
absolute value fn graph

algebraic representation of the absolute value fn
crude approximation to it using FT

So
a little better approximation to it with FT

2 terms
even better approximation to it

more terms
best approximation to it on this page

 

  
   

Contact me at sanguel1@ithaca.edu