Re:An animated introduction to the Fourier Transform [video]
by totalZero on Sunday January 28, 2018 @07:50AM
(#16251073)
Here's how I think about it.
You can play the individual notes of a chord on one piano or several, but they still come together to produce the same chorus of frequencies.
The Fourier series representation of a waveform is itself a sum, since trigonometric functions are waveforms as well. Thus, a combination thereof should be commutative because a sum of two sums retains the properties of addition.
You can play the individual notes of a chord on one piano or several, but they still come together to produce the same chorus of frequencies.
The Fourier series representation of a waveform is itself a sum, since trigonometric functions are waveforms as well. Thus, a combination thereof should be commutative because a sum of two sums retains the properties of addition.