The most significant use of a centrosymmetric matrix in signal processing is the subject of this article. A discrete-time decimation formula is the foundation of the derivation. Considered is a specific case of a signal that contains known samples and satisfies the Hermitian property. The two interpolation schemes are as follows. In an effort to find a solution to a square system of linear equations, the first strategy disregards the middle sample. The second technique uses an estimated least squares solution to an over determined system of equations and includes a middle sample. In the end, our solution has the benefit of reducing computing effort when compared to others.