- Many natural systems are well described by sinusoidal motion.
- By Fourier theory, any waveform can be represented by a summation of a (possibly infinite) number of sinusoids, each with a particular amplitude and phase.
- Thus, we can view sinusoids as fundamental ``building blocks'' for more complicated signals (as we saw with additive synthesis).
- Sinusoids are relatively easy to represent and manipulate mathematically.
- Because sinusoids are periodic functions (repeating every radians), they naturally represent periodic signals. On the other hand, one should expect that any attempt to decompose a non-periodic signal into sinusoidal components will have limitations.

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