Fourier Transform:
1
|
FourierTransform[HeavisideTheta[x], x, w]
|
Inverse Fourier Transform:
1
|
InverseFourierTransform[1/(1 + I*w), w, x]
|
Fourier coefficient:
1
2
3
|
FourierSinCoefficient[SquareWave[x], x, n]
FourierCosCoefficient[SquareWave[x], x, n]
FourierCoefficient[SquareWave[x], x, n]
|
Convolution:
1
2
|
Convolve[UnitBox[x], UnitBox[x], x, x]
Convolve[Exp[-a*t]*HeavisideTheta[t], Sin[t]*HeavisideTheta[t], t, x]
|
DTFT:
1
|
FourierSequenceTransform[HeavisideTheta[n]*a^n, n, w]
|
IDTFT:
1
|
InverseFourierSequenceTransform[1, n, w]
|
Laplace:
1
|
LaplaceTransform[t^4 Sin[t], t, s]
|
InverseLaplace:
1
|
LaplaceTransform[E^(-t), t, s]
|