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InverseFourier

InverseFourier[list]
finds the discrete inverse Fourier transform of a list of complex numbers.
  • The inverse Fourier transform ur of a list vs of length n is defined to be .  »
  • Note that the zero frequency term must appear at position 1 in the input list.
  • Other definitions are used in some scientific and technical fields.
  • Different choices of definitions can be specified using the option FourierParameters.
  • Some common choices for {a, b} are {0, 1} (default), {-1, 1} (data analysis), {1, -1} (signal processing).
  • The setting b=-1 effectively corresponds to conjugating both input and output lists.
  • To ensure a unique discrete Fourier transform, b must be relatively prime to n.
  • The list of data need not have a length equal to a power of two.
  • The list given in InverseFourier[list] can be nested to represent an array of data in any number of dimensions.
  • The array of data must be rectangular.
  • If the elements of list are exact numbers, InverseFourier begins by applying N to them.
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