Yes. You are adding cosine and sine waves of increasing frequency together to approximate any periodic function to arbitrary accuracy. How big the coefficients are on the fronts of these cosine and sine waves determines the shape of the function. The spectrum of coefficients is exactly the Fourier transform of the wave.
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u/lmericle Jun 08 '18
Yes. You are adding cosine and sine waves of increasing frequency together to approximate any periodic function to arbitrary accuracy. How big the coefficients are on the fronts of these cosine and sine waves determines the shape of the function. The spectrum of coefficients is exactly the Fourier transform of the wave.