I only really understood it while looking at imaging. How the base frequencies overlap to form an image and how the phase information is much more important for

I only really understood it while looking at imaging. How the base frequencies overlap to form an image and how the phase information is much more important for signal reconstruction than the amplitude. While images have an additional dimension it still helped me to really figure out what was going on. Since it is so well documented I recommend looking at DCT that is employed in JPG. The principle is the same, just the frequency disection works a bit different.