DFT symmetry

For a real-valued input signal, the DFT power spectrum is symmetric. Therefore, we can retain only the first \( N/2 \) frequency components and discard the rest. However, as we will explore later, this is not the case for complex signals.

Nevertheless, in our example, the full range of \( k \) values has been included in the calculations to retain the generality.

For a real-valued signal, however, the power spectrum plot should display only the positive frequency components.