RawMoments

standard 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

See also

RawMoments (streaming)

Standard algorithms

AfterMaxToBeforeMaxEnergyRatio | AllPass | AudioLoader | AudioOnsetsMarker | AudioWriter | AutoCorrelation | BFCC | BPF | BandPass | BandReject | BarkBands | BeatTrackerDegara | BeatTrackerMultiFeature | Beatogram | BeatsLoudness | BinaryOperator | BinaryOperatorStream | BpmHistogram | BpmHistogramDescriptors | BpmRubato | CartesianToPolar | CentralMoments | Centroid | ChordsDescriptors | ChordsDetection | ChordsDetectionBeats | ChromaCrossSimilarity | Chromagram | Chromaprinter | ClickDetector | Clipper | ConstantQ | CoverSongSimilarity | Crest | CrossCorrelation | CrossSimilarityMatrix | CubicSpline | DCRemoval | DCT | Danceability | Decrease | Derivative | DerivativeSFX | DiscontinuityDetector | Dissonance | DistributionShape | Duration | DynamicComplexity | ERBBands | EasyLoader | EffectiveDuration | Energy | EnergyBand | EnergyBandRatio | Entropy | Envelope | EqloudLoader | EqualLoudness | Extractor | FFT | FFTC | FadeDetection | FalseStereoDetector | Flatness | FlatnessDB | FlatnessSFX | Flux | FrameCutter | FrameGenerator | FrameToReal | FreesoundExtractor | FrequencyBands | GFCC | GaiaTransform | GapsDetector | GeometricMean | HFC | HPCP | HarmonicBpm | HarmonicMask | HarmonicModelAnal | HarmonicPeaks | HighPass | HighResolutionFeatures | Histogram | HprModelAnal | HpsModelAnal | HumDetector | IDCT | IFFT | IFFTC | IIR | Inharmonicity | InstantPower | Intensity | Key | KeyExtractor | LPC | Larm | Leq | LevelExtractor | LogAttackTime | LogSpectrum | LoopBpmConfidence | LoopBpmEstimator | Loudness | LoudnessEBUR128 | LoudnessVickers | LowLevelSpectralEqloudExtractor | LowLevelSpectralExtractor | LowPass | MFCC | Magnitude | MaxFilter | MaxMagFreq | MaxToTotal | Mean | Median | MedianFilter | MelBands | MetadataReader | Meter | MinMax | MinToTotal | MonoLoader | MonoMixer | MonoWriter | MovingAverage | MultiPitchKlapuri | MultiPitchMelodia | Multiplexer | MusicExtractor | MusicExtractorSVM | NNLSChroma | NSGConstantQ | NSGIConstantQ | NoiseAdder | NoiseBurstDetector | NoveltyCurve | NoveltyCurveFixedBpmEstimator | OddToEvenHarmonicEnergyRatio | OnsetDetection | OnsetDetectionGlobal | OnsetRate | Onsets | OverlapAdd | PCA | Panning | PeakDetection | PercivalBpmEstimator | PercivalEnhanceHarmonics | PercivalEvaluatePulseTrains | PitchCREPE | PitchContourSegmentation | PitchContours | PitchContoursMelody | PitchContoursMonoMelody | PitchContoursMultiMelody | PitchFilter | PitchMelodia | PitchSalience | PitchSalienceFunction | PitchSalienceFunctionPeaks | PitchYin | PitchYinFFT | PitchYinProbabilistic | PitchYinProbabilities | PitchYinProbabilitiesHMM | PolarToCartesian | PoolAggregator | PowerMean | PowerSpectrum | PredominantPitchMelodia | RMS | RawMoments | ReplayGain | Resample | ResampleFFT | RhythmDescriptors | RhythmExtractor | RhythmExtractor2013 | RhythmTransform | RollOff | SBic | SNR | SaturationDetector | Scale | SilenceRate | SineModelAnal | SineModelSynth | SineSubtraction | SingleBeatLoudness | SingleGaussian | Slicer | SpectralCentroidTime | SpectralComplexity | SpectralContrast | SpectralPeaks | SpectralWhitening | Spectrum | SpectrumCQ | SpectrumToCent | Spline | SprModelAnal | SprModelSynth | SpsModelAnal | SpsModelSynth | StartStopCut | StartStopSilence | StereoDemuxer | StereoMuxer | StereoTrimmer | StochasticModelAnal | StochasticModelSynth | StrongDecay | StrongPeak | SuperFluxExtractor | SuperFluxNovelty | SuperFluxPeaks | TCToTotal | TempoCNN | TempoScaleBands | TempoTap | TempoTapDegara | TempoTapMaxAgreement | TempoTapTicks | TensorNormalize | TensorTranspose | TensorflowInputFSDSINet | TensorflowInputMusiCNN | TensorflowInputTempoCNN | TensorflowInputVGGish | TensorflowPredict | TensorflowPredict2D | TensorflowPredictCREPE | TensorflowPredictEffnetDiscogs | TensorflowPredictFSDSINet | TensorflowPredictMAEST | TensorflowPredictMusiCNN | TensorflowPredictTempoCNN | TensorflowPredictVGGish | TonalExtractor | TonicIndianArtMusic | TriangularBands | TriangularBarkBands | Trimmer | Tristimulus | TruePeakDetector | TuningFrequency | TuningFrequencyExtractor | UnaryOperator | UnaryOperatorStream | Variance | Vibrato | Viterbi | WarpedAutoCorrelation | Welch | Windowing | YamlInput | YamlOutput | ZeroCrossingRate