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You can take an amplitude-vs-time representation of a signal and via a Fourier Transform instead represent the same information as a sum of weighted complex exp
by pithon 4y ago
You can take an amplitude-vs-time representation of a signal and via a Fourier Transform instead represent the same information as a sum of weighted complex exponentials in the frequency domain. It works mathematically, sure- but does that mean that- physically, at the core of existence- every RF, acoustic, seismic, or financial data ripple is actually a bunch of sines and cosines which are getting summed together to create the real phenomena?
- dsego 4y agoI've read that we can typically reconstruct any complex wave form from other periodic waves. So it doesn't seem like sines are something special. But apparently, mass on a spring behaves in a sinusoidal motion https://youtu.be/n2y7n6jw5d0?t=968 https://youtu.be/n2y7n6jw5d0?t=968 And sines are also an approximation of harmonic motion of a pendulum. https://youtu.be/p_di4Zn4wz4?t=370 https://youtu.be/p_di4Zn4wz4?t=370 Many physical systems resonate or oscillate produce quasi-sinusoidal motion. https://ccrma.stanford.edu/~jos/mdft/Why_Sinusoids_Important.html https://ccrma.stanford.edu/~jos/mdft/Why_Sinusoids_Important...