But all sounds are vibration. If you capture the vibration, you capture all of the sound. The “different sounds” are all a single pattern of vibration; it’s the brain and inner ear that decodes the vibration into separate sounds. And hence it can also be difficult to do, depending on what the sounds are.
All the sounds get mixed together as they approach you (as they compress the same air), by the time it gets to your ear it can be represented by one complex wave.
If you can build up intuition around Fourier decomposition I think it gets much easier to understand.
Multiple things going on at the same frequency are indistinguishable (up to a phase). Lots of stuff going on at different frequency can be separated. Light also has frequency (color) and volume (intensity)—it may be more intuitive to conceptualize in this way.
Ironically, I work a lot with Fourier Transform. Still feels like magic. I even taught it! I’m trying to develop more intuition about it (vs hard knowledge)
Yeah, waves add. Which, well they add from the center which looks weird and bumpy. What’s more amazing is how good our ears are at picking out differences (it’s like 100x more sensitive to differences than other senses) so it can tell what all those individual waves would be so we can still hear the guitar vs drums vs bass vs vocals when it’s all one wave combined.
That explains just a tiny part. There are so many different sounds at the same volume and frequency
But all sounds are vibration. If you capture the vibration, you capture all of the sound. The “different sounds” are all a single pattern of vibration; it’s the brain and inner ear that decodes the vibration into separate sounds. And hence it can also be difficult to do, depending on what the sounds are.
All the sounds get mixed together as they approach you (as they compress the same air), by the time it gets to your ear it can be represented by one complex wave.
Like when you flatten all the layers in a graphics project.
No, because flattening the layers is a lossy operation but this is reversible.
Hmm good point!
This is a really interesting analogy. I perceive more than I see.
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If you can build up intuition around Fourier decomposition I think it gets much easier to understand.
Multiple things going on at the same frequency are indistinguishable (up to a phase). Lots of stuff going on at different frequency can be separated. Light also has frequency (color) and volume (intensity)—it may be more intuitive to conceptualize in this way.
Ironically, I work a lot with Fourier Transform. Still feels like magic. I even taught it! I’m trying to develop more intuition about it (vs hard knowledge)
I forget most of them, but I remember there being several concepts in calculus that straight up felt like magic once I finally understood them.
Yeah, waves add. Which, well they add from the center which looks weird and bumpy. What’s more amazing is how good our ears are at picking out differences (it’s like 100x more sensitive to differences than other senses) so it can tell what all those individual waves would be so we can still hear the guitar vs drums vs bass vs vocals when it’s all one wave combined.
Magic!