  Given a real, expansive dilation matrix we prove that any bandlimited
function $\psi \in L^2(\mathbb{R}^n)$, for which the dilations of its Fourier
transform form a partition of unity, generates a wavelet frame for certain
translation lattices. Moreover, there exists a dual wavelet frame generated by
a finite linear combination of dilations of $\psi$ with explicitly given
coefficients. The result allows a simple construction procedure for pairs of
dual wavelet frames whose generators have compact support in the Fourier domain
and desired time localization. The construction relies on a technical condition
on $\psi$, and we exhibit a general class of function satisfying this
condition.
