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That's true, but it's kind of the same idea, so it's okay. The best way to understand this, for people who are familiar with linear algebra, is to think of the
by ivan_ah 10y ago
That's true, but it's kind of the same idea, so it's okay. The best way to understand this, for people who are familiar with linear algebra, is to think of the Fourier transformations as change-of-basis operations that convert signals from a time basis to a frequency basis. Depending for the bases for the time domain and the frequency domain, you get the Fourier series, Fourier transform, or Discrete Fourier transform[1].
I find the Fourier series is the hardest to understand intuitively (compared to FT and DFT), since the time basis (periodic functions of time) and the frequency basis (infinite sequence of Fourier coefficients) look very different.
[1] https://minireference.com/static/excerpts/noBSguide2LA_preview.pdf#page=114 https://minireference.com/static/excerpts/noBSguide2LA_previ...
- sangnoir 10y agoI never really intuited how the time domain and frequency domain related until I looked at the animation mentioned in the article[1] - I really wish I had seen that gif earlier since it shows the frequency and time domains as orthogonal (literally). Edit: I've realized that our comment was on series, not transforms. 1. https://upload.wikimedia.org/wikipedia/commons/5/50/Fourier_transform_time_and_frequency_domains.gif https://upload.wikimedia.org/wikipedia/commons/5/50/Fourier_...