In this paper, the anisotropy-based estimating problem for linear discrete time-varying multiplicative noises finite horizon systems is considered. We examine the linear discrete time-varying system with uncertainty in the measurement output. The anisotropy-based bounded real lemma is obtained in terms of studied system matrices and desired estimator matrices. As result, we have the system of linear matrix inequalities in terms of estimator matrices. The numerical example of anisotropy-based estimating problem solution for the LDTVFH system is illustrated by the graphs.