Signal Processing
The Wolfram Language has powerful signal processing capabilities, including digital and analog filter design, filtering, and signal analysis using the state-of-the-art algebraic and numerical methods that can be applied to audio, image, or other data.
Importing & Exporting Signals
Import, Export — import and export data in standard formats
"WAV" ▪ "AIFF" ▪ "MP3" ▪ "MIDI" ▪ "SND" ▪ "FLAC" ▪ ...
BinaryReadList ▪ BinaryWrite ▪ ...
Audio »
Audio — represent audio using an array of data, a file, or a URL
AudioGenerator ▪ AudioPitchShift ▪ AudioLocalMeasurements ▪ ...
Time Series »
TimeSeries — represent a series of time-value pairs
EventSeries ▪ MovingMap ▪ TimeSeriesAggregate ▪ TimeSeriesResample ▪ ...
Filtering »
ListConvolve — convolve a signal with any kernel (apply FIR filter)
RecurrenceFilter — compute the response of an IIR filter
GaussianFilter ▪ MeanFilter ▪ MeanShiftFilter ▪ LowpassFilter ▪ ...
Resampling & Interpolation
ArrayResample — resample an array of data
Interpolation ▪ ListInterpolation ▪ Downsample ▪ Upsample
Digital Filter Design
LeastSquaresFilterKernel — FIR filter designed by a least-squares method
FrequencySamplingFilterKernel ▪ EquirippleFilterKernel
ToDiscreteTimeModel — generate an IIR filter model from an analog prototype
Analog Filter Design
BiquadraticFilterModel ▪ ButterworthFilterModel ▪ Chebyshev1FilterModel ▪ Chebyshev2FilterModel ▪ EllipticFilterModel ▪ BesselFilterModel
TransferFunctionModel — object representing a transfer-function model
TransferFunctionTransform — convert between different types of analog filters
Window Functions »
KaiserWindow ▪ DirichletWindow ▪ HammingWindow ▪ BlackmanWindow ▪ ...
Discrete Transforms
ListZTransform — compute the Z transform of a list
ListFourierSequenceTransform ▪ DiscreteChirpZTransform ▪ DiscreteHadamardTransform
DiscreteWaveletTransform ▪ InverseWaveletTransform ▪ ...
FourierMatrix — create a Fourier matrix
FourierDCTMatrix ▪ FourierDSTMatrix ▪ HadamardMatrix
Signal Decoding
KalmanEstimator — use an optimal estimator to find internal states
FindHiddenMarkovStates — use Viterbi and other decoding to find internal states
Visualization and Analysis
BodePlot — magnitude and phase plots of the frequency response of a filter
ListPlot ▪ ListLinePlot ▪ ListStepPlot ▪ DiscretePlot
Spectrogram ▪ Periodogram ▪ Cepstrogram
SpectrogramArray ▪ PeriodogramArray ▪ ImagePeriodogram ▪ CepstrumArray ▪ CepstrogramArray
ShortTimeFourier ▪ InverseShortTimeFourier ▪ ShortTimeFourierData ▪ InverseSpectrogram
WaveletScalogram ▪ WaveletListPlot ▪ ...