  We study the short-time Fourier transform on the space
$\mathcal{K}_{1}'(\mathbb{R}^n)$ of distributions of exponential type. We give
characterizations of $\mathcal{K}_{1}'(\mathbb{R}^n)$ and some of its subspaces
in terms of modulation spaces. We also obtain various Tauberian theorems for
the short-time Fourier transform.
