top | item 34865194

(no title)

pithon | 3 years 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?

discuss

order

dsego|3 years ago

I'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

And sines are also an approximation of harmonic motion of a pendulum. 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...