This graph reminds me of digital music, where musicians will start with a sign wave and append more and more simple waves to create a more complex sound. I believe they call it timbre -- what makes different instruments sound different from one another.
AlexSchedel
I think that a detail worth noting here is that this decomposition only really holds if we assume an infinite sum. You can see in the picture that although the square wave is getting better and better approximated, it will never truly converge in a real world setting.
pinkchihua
I am thinking the same as the comment about digital music. A square wave is a common basic type of wave that would be manipulated to synthesize a new sound. All of this math behind waves applies directly to sound waves.
This graph reminds me of digital music, where musicians will start with a sign wave and append more and more simple waves to create a more complex sound. I believe they call it timbre -- what makes different instruments sound different from one another.
I think that a detail worth noting here is that this decomposition only really holds if we assume an infinite sum. You can see in the picture that although the square wave is getting better and better approximated, it will never truly converge in a real world setting.
I am thinking the same as the comment about digital music. A square wave is a common basic type of wave that would be manipulated to synthesize a new sound. All of this math behind waves applies directly to sound waves.