Summation Transforms
The Wolfram Language includes support for an exceptionally wide range of symbolic and numeric summation transforms, to acknowledge the key role played by these transforms in fields such as signal processing, control systems, statistics and number theory.
Z Transforms
ZTransform ▪ InverseZTransform ▪ BilateralZTransform ▪ InverseBilateralZTransform ▪ ListZTransform ▪ DiscreteChirpZTransform
Generating Functions
GeneratingFunction ▪ ExponentialGeneratingFunction ▪ SeriesCoefficient
Fourier Transforms
FourierSequenceTransform ▪ InverseFourierSequenceTransform ▪ ListFourierSequenceTransform
FourierMatrix ▪ FourierDSTMatrix ▪ FourierDCTMatrix
ShortTimeFourier ▪ InverseShortTimeFourier
Hadamard Transforms
DiscreteHadamardTransform ▪ HadamardMatrix
Wavelet Transforms »
DiscreteWaveletTransform ▪ DiscreteWaveletPacketTransform ▪ ...
Number Theory Summation Transforms »
DirichletTransform ▪ DirichletConvolve ▪ ...
Statistical Summation Transforms »
MomentGeneratingFunction ▪ CumulantGeneratingFunction ▪ ...
Summation Convolutions
DiscreteConvolve ▪ UnilateralDiscreteConvolve ▪ DirichletConvolve ▪ ListConvolve
Discrete Transform Plots
BodePlot ▪ Spectrogram ▪ Periodogram ▪ Cepstrogram ▪ ImagePeriodogram
Integral Transforms »
FourierTransform ▪ LaplaceTransform ▪ MellinTransform ▪ ...
Related Functions
DiscreteDelta ▪ KroneckerDelta ▪ Sum ▪ RSolve