Why was `fftshift` invented for? Why not `fftshift` by default the ...

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Summary of my understanding: The natural order of fft 's return values, does not match a linear space of frequencies from -dt to dt. Hence, to get a frequency array that matches an array of frequency terms (from the output of fft), you either need to fftshift a linspace from -1/dt to +1/dt, or you'd need to fftshift the output of fft.


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