  We describe here the higher rank numerical range, as defined by Choi, Kribs
and Zyczkowski, of a normal operator on an infinite dimensional Hilbert space
in terms of its spectral measure. This generalizes a result of Avendano for
self-adjoint operators. An analogous description of the numerical range of a
normal operator by Durszt is derived for the higher rank numerical range as an
immediate consequence. It has several interesting applications. We show using
Durszt's example that there exists a normal contraction $T$ for which the
intersection of the higher rank numerical ranges of all unitary dilations of
$T$ contains the higher rank numerical range of $T$ as a proper subset.
Finally, we strengthen and generalize a result of Wu by providing a necessary
and sufficient condition for the higher rank numerical range of a normal
contraction being equal to the intersection of the higher rank numerical ranges
of all possible unitary dilations of it.
