How to get information on low frequencies of a signal using FFT?

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SUMMARY

This discussion focuses on the limitations of obtaining low-frequency information from a Fast Fourier Transform (FFT) applied to an image processed in ImageJ. The user inquires about the amplitude information available for lower frequencies, specifically questioning the ability to extract data from frequencies below 1 Hz for a 1-second signal. The responses clarify that the spatial frequency of the fringes is 10, indicating that the lowest positive frequency represented in the FFT output corresponds to 1 cycle over the length of the data, which is critical for understanding the frequency domain representation of the image.

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BrunoIdeas
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Hello. I've made a lab experiment of interference and with a CCD camera photographed fringe pattern which one can understand as a periodic signal.
My question is: When I apply an FFT to the image is there any limit to the amplitude information I may get from lower frequencies?
I read in the internet that for a 1 sec signal, one may be able to obtain information about only freqs above 1 Hz.
Why do I ask this? Because the width of the fringes is of about 1/10 the size of the total image, and I am interested in low frequencies.

Now I am processing the image in ImageJ in order to get some information.

Thanks in advance.
 
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I'm not quite sure how you're getting temporal measurements (hz) from the FFT of an image (usually in vector space), unless you're asking about contributions from low-frequencies in general.

When you mention fringes being 1/10 the size of the image, you may have things reversed: the contribution from that should actually have a spatial frequency of 10, not 1/10 (think 10 fringes per image):
http://sharp.bu.edu/~slehar/fourier/fourier.html#harmonics
 
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The lowest positive frequency represented in the FFT output will be 1 cycle over the length of data. So, for a 1 second signal, there would be information for ..., 0 Hz, 1Hz, ...

1 * fs/N = 1/(Ts * N) = 1/(Total time)
 

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