InverseFourier

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: Fourier.

Examples

Using InstantCalculators

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

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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.

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

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Here is the inverse Fourier transform.

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Clear the variable definition.

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