  The continuous-time, peak-limited, infinite-bandwidth Poisson channel with
spurious counts is considered. It is shown that if the times at which the
spurious counts occur are known noncausally to the transmitter but not to the
receiver, then the capacity is equal to that of the Poisson channel with no
spurious counts. Knowing the times at which the spurious counts occur only
causally at the transmitter does not increase capacity.
