How to use frequency as input for ifft

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I find that I cannot input frequency as input for the funciton ifft. However, my frequency range is really large and my Y vector are corresponding to specific frequencies. How can I also include frequency as a input. Thanks
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Yue Wu
Yue Wu 2018-9-13
thank you. that's great explanation

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Matt J
Matt J 2018-9-12
编辑:Matt J 2018-9-12
If you don't have uniformly-spaced frequency sampling, then the IDFT (and in particular the IFFT) doesn't make sense. Its theory is predicated on uniform sampling.
You could always use the integral() command to implement a discretized inverse Fourier transform integral. Alternatively, you could use interp1 to resample the spectrum at uniformly spaced sample locations - then the IDFT/IFFT could be applied.
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dpb
dpb 2018-9-13
The IFFT simply reverses the FFT; if you have 10k (complex) frequency components, the IFFT will produce 10k (presumably real) points in the time domain that will precisely reproduce the input that would have created the transform.
The sample rate is, as noted previously, simply an external bookkeeping arrangement to apply correct units for interpretation.
You can, of course, interpolate or decimate by using the optional second argument.

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