Ir is likely that the reionization of the Universe did not occur homog
eneously. Using a model that associates ionized patches with overdense
regions, we find that the resulting cosmic microwave background (CMB)
anisotropy power spectrum peaks at angular scales corresponding to th
e extent of the ionized regions, and has a width that reflects the cor
relations between them. There is considerable uncertainty in the ampli
tude. Neglecting inhomogeneous reionization in the determination of co
smological parameters from high resolution CMB maps may cause signific
ant systematic error.