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In a Fourier transform (FT), the Fourier transformed function is obtained from by: where is defined as . can be obtained from by inverse FT: and are inverse variables, e.g. frequency and time. Obtaining directly requires that is well known from to , vice versa. In real experimental data this is rarely the case due to noise and limited measured range, say is known from to . Performing a FT on in the limited range may lead to systematic errors and overfitting. An indirect Fourier transform (IFT) is a solution to this problem.
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