IRFFTn (FPScript)

21.09.2021

Computes the real inverse Fourier transform of the argument.

Syntax

IRFFTn(Spectrum [ , Unfold = TRUE ])

 

The syntax of the IRFFTn function consists of the following parts:

Part

Description

Spectrum

The complex Fourier series, which is to be transformed inversely in a real result.

Permitted data structures are data series, data matrix, signal und signal series. All complex data types are permitted.

For the X component additional restrictions do apply.The values must have a constant non-zero spacing.

If the argument is a list, then the function is executed for each element of the list and the result is also a list.

Unfold

The value TRUE specifies that the positive and negative spectral components in Spectrum are superimposed. In this case, all coefficients except the first one will be multiplied with a factor of 0.5 before the reverse discrete transform.

Permitted data structures are scalar value. Supported data types are Boolean value.

If the argument is a list, then the first element in the list is taken. If this is also a list, then the process is repeated.

If this argument is omitted, it will be set to the default value TRUE.

Remarks

Spectrum must be the transform of a real time signal, i.e. must only contain the positive frequencies. If the spectrum that you want to transform originates from a complex time signal, then you must use the IFFTn function. You can find more information under the FFTn function. If Spectrum is a signal or signal series with frequencies in the X component, then these are transformed into the respective time values.

Available in

FlexPro Basic, Professional, Developer Suite

Examples

Dim fft = FFTn(Signal(Sin(2. * PI * 25 * (1000, 0, 0.001)), (1000, 0, 0.001)))
IRFFTn(fft)

Computes the real inverse Fourier transform of a spectrum. This is a cosine signal with the frequency of 25 Hz.

See Also

ApplyWindow Function

DataWindow Function

FFTn Function

FourierSpectrum Function

IFFTn Function

VarWindow Function

Spectral Analysis Option

Data Tapering Window

Fourier Spectral Analysis

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