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If a CT signal $x(t)$ is sampled for one ($1$) second and $4096$ samples are generated:

  1. Isn't the highest frequency that can be sampled without aliasing ($4096/2$) $2048\textrm{ Hz}$?

  2. If a $4096$ FFT of this signal is computed what is the frequency spacing between the output points (in $\textrm{Hz}$) ?

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  • $\begingroup$ The highest frequency that can sampled without aliasing is below (not at) SR/2. For strictly real input data, half of the DFT result bins are just a redundant congregate mirror image. $\endgroup$
    – hotpaw2
    Commented Jul 4, 2016 at 21:12

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Yes, the highest frequency is half the sampling rate. The frequency spacing is 1 Hz since samples are accumulated for 1 second.

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