Is Nyquist Theorem Applicable to a Detector with 500 Pixels and 5um Pixel Size?

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The discussion centers on the applicability of the Nyquist Theorem to a detector with 500 pixels and a pixel size of 5 µm. The key point is that the sampling rate is determined by the pixel size, which results in a sampling rate of 1/(5 µm). The confusion arises from the interpretation of pixel size in relation to the Nyquist criterion, which states that the sampling frequency must be at least twice the maximum frequency of the signal to avoid aliasing. Once the pixel size and sampling rate are clarified, the application of the Nyquist theorem becomes straightforward. Overall, understanding the relationship between pixel size and sampling rate is crucial for correctly applying the theorem in this context.
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Homework Statement


Given a detector with 500 pixels, and a pixel size of 5 um, is it posible to register next signal?

I = cos(2 π 4 x)

were x is expressen in um

Homework Equations



fs = fs/2

The Attempt at a Solution



My problem is with the pixel size, I mean, the sampling rate will be 5/500=0.01 um/px, or it should be 1/5 um-1.

Once this drawback is solved, the solution is trivial, the Nyquist theorem is applied.

Thanks in advance
 
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There is one pixel every 5µm, so the sampling rate is 1 / (5µm). If the chip size were 5µm, then you would have 0.01 µm/pixel.
 
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