FFT grid on a periodic interval
= FFT grid on a periodic interval
{c}
{title2=$x_j=jL/N,\quad 0\le j<N$}
Use $N$ equally spaced samples on a period of length $L$, excluding the repeated endpoint. Their spacing is $L/N$, and the <discrete Fourier transform> angular wavenumbers are $2\pi m/L$. Including both endpoints in an $N$-point array gives spacing $L/(N-1)$ and is inconsistent with that wavenumber assignment. It does not supply an extra independent periodic sample.