An Example of the Principle of Superposition: The Sum of Two Sinusoids

This figure demonstrates the principle of superposition. At the top, two sinusoids, A and B, are represented on the unit circle. Sinusoid B has twice the frequency of sinusoid A, and so makes two rotations about the circle in the time it takes sinusoid A to make one. The resulting time waveform is the arithmetic sum of the projections of A and B on the vertical axis. For example, in the first time instant the projection of B on the vertical axis is 1, while that of A is 0. The arithmetic sum of these projections is 1. The superposition of many sinusoids results in a complex sound like that corresponding to speech or music.