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InverseFourier[list] finds the discrete inverse Fourier transform of a list of complex numbers.

• The inverse Fourier transform  of a list  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.
• 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.
• See also:


Using InstantCalculators

Here is the InstantCalculator for the InverseFourier function. Enter the parameters for your calculation and click Calculate to see the result.

Entering Commands Directly

You can paste a template for this command via the Text Input button on the InverseFourier Function Controller.

Here is some data corresponding to a square pulse.

Here is the Fourier transform of the data. It involves complex numbers.

Here is the inverse Fourier transform.

Clear the variable definition.

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