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Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on the real line or by Fourier series for periodic functions.
- Harmonic function
In several ways, the harmonic functions are real analogues...
- List of harmonic analysis topics
This is a list of harmonic analysis topics. See also list of...
- Noncommutative harmonic analysis
In mathematics, noncommutative harmonic analysis is the...
- Harmonic function
A análise harmónica ( português europeu) ou harmônica ( português brasileiro) é o ramo da matemática que estuda a representação de funções ou sinais como a sobreposição de ondas base. Ela investiga e generaliza as noções das séries de Fourier e da transformação de Fourier.
Analysis is an activity most often engaged in by musicologists and most often applied to western classical music, although music of non-western cultures and of unnotated oral traditions is also often analysed. An analysis can be conducted on a single piece of music, on a portion or element of a piece or on a collection of pieces.
Harmonic analysis is a branch of mathematics that looks at the theoretical foundations of digital signal processing. A continuous signal can be drawn as a wave, or as a combination of several waves. Fourier transforms and Fourier series are among the main tools used for signal analysis.
