CartesianToPolar

streaming mode | Math category

Inputs

  • complex (vector_complex) - the complex input vector

Outputs

  • magnitude (vector_real) - the magnitude vector
  • phase (vector_real) - the phase vector

Description

This algorithm converts an array of complex numbers from cartesian to polar form. It uses the Euler formula:
z = x + i*y = |z|(cos(α) + i sin(α))
where x = Real part, y = Imaginary part, and |z| = modulus = magnitude, α = phase in (-π,π]

It returns the magnitude and the phase as 2 separate vectors.

References:

[1] Polar Coordinates -- from Wolfram MathWorld, http://mathworld.wolfram.com/PolarCoordinates.html

[2] Polar coordinate system - Wikipedia, the free encyclopedia, http://en.wikipedia.org/wiki/Polar_coordinates

See also

CartesianToPolar (standard)

Streaming algorithms

AfterMaxToBeforeMaxEnergyRatio | AllPass | AudioLoader | AudioOnsetsMarker | AudioWriter | AutoCorrelation | BFCC | BPF | BandPass | BandReject | BarkBands | BarkExtractor | BeatTrackerDegara | BeatTrackerMultiFeature | Beatogram | BeatsLoudness | BinaryOperator | BinaryOperatorStream | BpmHistogram | BpmHistogramDescriptors | BpmRubato | CartesianToPolar | CentralMoments | Centroid | ChordsDescriptors | ChordsDetection | ChromaCrossSimilarity | Chromagram | Chromaprinter | ClickDetector | Clipper | ConstantQ | CoverSongSimilarity | Crest | CrossCorrelation | CubicSpline | DCRemoval | DCT | Danceability | Decrease | Derivative | DerivativeSFX | DiscontinuityDetector | Dissonance | DistributionShape | Duration | DynamicComplexity | ERBBands | EasyLoader | EffectiveDuration | Energy | EnergyBand | EnergyBandRatio | Entropy | Envelope | EqloudLoader | EqualLoudness | FFT | FFTC | FadeDetection | FalseStereoDetector | FileOutput | Flatness | FlatnessDB | FlatnessSFX | Flux | FrameCutter | FrameToReal | FrequencyBands | GFCC | GapsDetector | GeometricMean | HFC | HPCP | HarmonicBpm | HarmonicMask | HarmonicModelAnal | HarmonicPeaks | HighPass | HighResolutionFeatures | Histogram | HprModelAnal | HpsModelAnal | HumDetector | IDCT | IFFT | IFFTC | IIR | Inharmonicity | InstantPower | Key | KeyExtractor | LPC | Larm | Leq | LevelExtractor | LogAttackTime | LogSpectrum | LoopBpmConfidence | LoopBpmEstimator | Loudness | LoudnessEBUR128 | LoudnessEBUR128Filter | LoudnessVickers | LowLevelSpectralEqloudExtractor | LowLevelSpectralExtractor | LowPass | MFCC | Magnitude | MaxFilter | MaxMagFreq | MaxToTotal | Mean | Median | MedianFilter | MelBands | MetadataReader | Meter | MinMax | MinToTotal | MonoLoader | MonoMixer | MonoWriter | MovingAverage | MultiPitchMelodia | Multiplexer | NNLSChroma | NSGConstantQ | NSGConstantQStreaming | NSGIConstantQ | NoiseAdder | NoiseBurstDetector | NoveltyCurve | OddToEvenHarmonicEnergyRatio | OnsetDetection | OnsetDetectionGlobal | OnsetRate | Onsets | OverlapAdd | Panning | PeakDetection | PercivalBpmEstimator | PercivalEnhanceHarmonics | PercivalEvaluatePulseTrains | PitchCREPE | PitchContours | PitchContoursMelody | PitchContoursMonoMelody | PitchContoursMultiMelody | PitchFilter | PitchMelodia | PitchSalience | PitchSalienceFunction | PitchSalienceFunctionPeaks | PitchYin | PitchYinFFT | PitchYinProbabilistic | PitchYinProbabilities | PitchYinProbabilitiesHMM | PolarToCartesian | PoolAggregator | PoolToTensor | PowerMean | PowerSpectrum | PredominantPitchMelodia | RMS | RawMoments | RealAccumulator | 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 | TensorToPool | TensorToVectorReal | TensorTranspose | TensorflowInputFSDSINet | TensorflowInputMusiCNN | TensorflowInputTempoCNN | TensorflowInputVGGish | TensorflowPredict | TensorflowPredict2D | TensorflowPredictCREPE | TensorflowPredictEffnetDiscogs | TensorflowPredictFSDSINet | TensorflowPredictMAEST | TensorflowPredictMusiCNN | TensorflowPredictTempoCNN | TensorflowPredictVGGish | TonalExtractor | TriangularBands | TriangularBarkBands | Trimmer | Tristimulus | TruePeakDetector | TuningFrequency | TuningFrequencyExtractor | UnaryOperator | UnaryOperatorStream | Variance | VectorInput | VectorRealAccumulator | VectorRealToTensor | Vibrato | Viterbi | WarpedAutoCorrelation | Welch | Windowing | ZeroCrossingRate