InverseDiscreteFourierTransform

InverseDiscreteFourierTransform[coef] returns the inverse discrete Fourier transform (IDFT) of a list of DFT coefficients coef.

The 1D IDFT is defined as

for n= 0,1 ,...,N-1.

The 2D IDFT is defined as

for 0≤ n₁≤N₁-1, and 0≤n₂≤N₂-1, with

The argument coef may be a vector or a matrix.

See also User's Guide 8.2.

Example

This loads the package.

In[1]:=

This creates a list of Fourier coefficients.

In[2]:=

Out[2]=

This computes the inverse Fourier transform and verifies invertibility.

In[3]:=

Out[3]=

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