# Sampling theory and frequency spacing

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 $\textrm{Hz}$) ?

• 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. – hotpaw2 Jul 4 '16 at 21:12