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# scipy.fftpack.ifftn

`scipy.fftpack.``ifftn`(x, shape=None, axes=None, overwrite_x=False)

  Return inverse multi-dimensional discrete Fourier transform of arbitrary type sequence x.

  The returned array contains:

      y[j_1,..,j_d] = 1/p * sum[k_1=0..n_1-1, ..., k_d=0..n_d-1]
         x[k_1,..,k_d] * prod[i=1..d] exp(sqrt(-1)*2*pi/n_i * j_i * k_i)

  where `d = len(x.shape)`, `n = x.shape`, and `p = prod[i=1..d] n_i`.

  For description of parameters see `fftn`.

  See also

  `fftn`
    for detailed information.