A Mathematical Model for the Verification of Systolic Networks
Rami Melhem, Werner C. Rheinboldt · SIAM Journal on Computing · 1984
A mathematical model for systolic architectures is suggested and used to verify the operation of certain systolic networks. The data items appearing on the communication links of such a network at successive time units are represented by data sequences and the computations performed by the network cells are modeled by a system of difference equations involving operations on the various data sequences. The input/output descriptions, which describe the global effect of the computations performed by the network, are obtained by solving this system of difference equations. This input/output description can then be used to verify the operation of the network. The suggested verification technique is applied to four different systolic networks proposed in the literature.