In this paper, the linear discrete time-invariant system describing the repetitive process is considered. The disturbance of the system belongs to a standard set of white noises, and the output of the system forms a sequence of random vectors, the anisotropy of which is derived. The anisotropy of the output consists of two terms: the first can be associated with the anisotropy of the random vector, and the second one relates to the mean anisotropy level.