RawMoments

streaming mode | Statistics category

Inputs

  • array (vector_real) - the input array

Outputs

  • rawMoments (vector_real) - the (raw) moments of the input array

Parameters

  • range (real ∈ (0, ∞), default = 22050) :
    the range of the input array, used for normalizing the results

Description

This algorithm computes the first 5 raw moments of an array. The output array is of size 6 because the zero-ith moment is used for padding so that the first moment corresponds to index 1.

Note:
This algorithm has a range parameter, which usually represents a frequency (results will range from 0 to range). For a spectral centroid, the range should be equal to samplerate / 2. For an audio centroid, the frequency range should be equal to (audio_size-1) / samplerate.

An exception is thrown if the input array's size is smaller than 2.

References:
[1] Raw Moment -- from Wolfram MathWorld, http://mathworld.wolfram.com/RawMoment.html

Streaming algorithms

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