Fourier Transform

I first heard and learned to use the Fourier Transform while in college. I didn’t apply much thought to it then. All I did was use the equation to switch between domains. Additionally, I memorized the Fourier transforms of certain standard signals. This was enough to get me through a college course.

Now that I’m going back and connecting the dots. I’m confronted by Fourier Transforms once again. This time I try to perceive it differently. To see the big picture. To understand how the transformation works. The concept of getting out many from one. To see the beauty of the term

$latex e^{-j\omega} $

I’m amazed by the sheer beauty of the whole thing. Here’s a list of resources that helped me fully comprehend the power of these transforms:

Resources:

• An interactive guide to Fourier Transform
• An awesome visual way to understand things
• More visualizations here