harmonic analysis
Noun
Meaning
analysis of a periodic function into a sum of simple sinusoidal components
Source: WordNetSynonyms
Hypernyms
Examples
In very much conventionally tonal music, harmonic analysis will reveal a broad prevalence of the primary (often triadic) harmonies : tonic, dominant, and subdominant (i.
This is a very elementary form of an uncertainty principle in a harmonic analysis setting.
For general non-abelian locally compact groups, harmonic analysis is closely related to the theory of unitary group representations.
For instance where there are integral transforms in harmonic analysis for studying continuous functions or analog signals, there are discrete transforms for discrete functions or digital signals.
For tides, then, harmonic analysis is not limited to harmonics of a single frequency.
Tides, A Scientific History: 11, 18 William Thomson (Lord Kelvin) led the first systematic harmonic analysis of tidal records starting in 1867.