  We introduce the $h$-adic quantum vertex algebras associated with the
trigonometric $R$-matrices in types $B$, $C$ and $D$, thus generalizing the
well-known Etingof-Kazhdan construction in type $A$. We show that restricted
modules for quantum affine algebras in types $B$, $C$ and $D$ are naturally
equipped with the structure of $\phi$-coordinated module for the aforementioned
$h$-adic quantum vertex algebras.
