# 4.3 $T[x]$: Log-Step Staircase Function

The Fourier series representation of the log-step staircase function $T[x]$ is illustrated in the three plots below at the frequency evaluation limits $f=1$, $f=2$, and $f=3$ respectively. The function $x\,(\log[x]-1)-\frac{1}{2}\left(\log\left[\frac{1}{2}\right]-1\right)$ is shown as a reference.