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In [[signal processing]], the '''high frequency content measure''' is a simple measure, taken across a signal [[spectrum]] (usually a [[STFT]] spectrum), that can be used to characterize the amount of high-frequency content in the signal.  The magnitudes of the spectral bins are added together, but multiplying each magnitude by the bin "position" (proportional to the frequency). Thus if ''X''(''k'') is a discrete spectrum with ''N'' unique points, its high frequency content measure is:
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: <math>  
\mathrm{HFC} = \sum_{i=0}^{N-1} i|X(i)|
</math>  
 
In contrast to perceptual measures, this is not based on any evidence about its relevance to [[human hearing]]. Despite that, it can be useful for some applications, such as [[onset detection]].
 
The measure has close similarities to the [[spectral centroid]] measure, being essentially the same calculation but without normalization according to overall magnitude.
 
==References==
 
* P. Brossier, J. P. Bello and M. D. Plumbley. ''[http://aubio.piem.org/articles/brossier04realtimesegmentation.pdf Real-time temporal segmentation of note objects in music signals]'', in Proceedings of the International Computer Music Conference (ICMC 2004), Miami, Florida, USA, November 1–6, 2004.
* Masri, P. (1996). ''Computer modeling of Sound for Transformation and Synthesis of Musical Signal.'' PhD dissertation, University of Bristol.
 
[[Category:Digital signal processing]]
 
 
{{Signal-processing-stub}}

Revision as of 15:21, 6 February 2014

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