This paper is concerned with the weak inherent coupling problem of the system S(A, B, C, E). Using state space parameters a minimal-order precompensator and a static feedback pair (F*,G*) are computed to decouple the given system. The compensated system is shown to be irreducible. The algorithm presented can also be used for computing the infinite-zero structure from the state space parameters alone. Moreover, the design procedure is simple and applicable to general systems (E ≠ 0).