sinusoidality
Sinusoidality is the degree to which a signal, waveform, or function resembles a sinusoid, typically a pure sine wave. In mathematics, a sinusoid is a function of the form A sin(ωt + φ) or A cos(ωt + φ). A signal with high sinusoidality has a single dominant frequency, constant amplitude, and fixed phase over time.
When analyzed with Fourier methods, any periodic signal can be decomposed into a sum of sinusoids at
Pure sinusoids are idealized; real-world signals often contain harmonics and noise, reducing sinusoidality. A square wave,
Applications include communication systems, where sinusoidal carriers are used for modulation; in signal generation and testing,
See also: sine wave, Fourier analysis, harmonic distortion, waveform.