Fourier Transform Tutorial

Learn the Fourier Transform through interactive flash programs

 

HINT: TRY PUSHING F11 KEY TO GET BIGGER SCREEN IF THE FLASH PROGRAM IS TOO BIG FOR SCREEN! (You may need to click curser on the top of your browser [outside of green area of flash program] prior to hitting F11 key)

This Fourier Transform Tutorial Consists of 8 Flash programs with embedded audio. These programs will allow you to learn the Fourier Transform through interactive flash programs.

 

Tutorial 1: Basics of the Fourier Transform. See how the Fourier Transform equation derives each point in the frequency domain for several different time functions.

Click here: flash program for Fourier Transform Basics

(This is about 12 M file - most of the file space is audio)

Tutorial 2: Apply a time shift to the time function and see how it affects the Fourier transform. This time shift shows how the imaginary part of the Fourier transform is generated

Click here : flash program showing a time shift and how the Fourier Transform is affected

(This is about 7 M file - most of the file space is audio)

Tutorial 3: Apply a time scale to the time function and see how it affects the Fourier Transform.

Click here : flash program showing a time scaling and how the Fourier Transform is affected

(This is about 4 M file - most of the file space is audio)

Tutorial 4: Learn how to take the Fourier Transform of a continuous sinusoidal wave and see how the dirac delta is produced.

Click Here: flash program showng the dirac delta function

(This is about 9 M file - most of the file space is audio)

Tutorial 5: See what happens to the Fourier Transform when the time function is either integrated or differentiated

Click Here: flash program showing how integration/differentiation of the time function affects the Fourier Transform

(This is about 6 M file - most of the file space is audio)

 

Tutorial 6: Gain insight into the convolution theorem.

Click Here: NOT COMPLETE YET

(This is about xx M file - most of the file space is audio)

Tutorial 7: See how the inverse Fourier Transform is derived and gain insight into its meaning

Click Here: NOT COMPLETE YET

(This is about xx M file - most of the file space is audio)

Tutorial 8: Learn about Parsevals theorem and energy density of frequency spectrum.

Click Here: NOT COMPLETE YET

(This is about xx M file - most of the file space is audio)