Systolic arrays for integer Chinese remaindering

Abstract

The authors present several time-optimal and space-time-optimal systolic arrays for computing a process dependence graph corresponding to the mixed-radix conversion algorithm. The arrays are particularly suitable for software implementations of algorithms from the applications of residue number systems on a programmable systolic/wavefront array. Examples of such applications are the exact solution of linear systems and matrix problems over integral domains. The authors also describe a decomposition strategy for treating a mixed-radix conversion problem whose size exceeds the array size. >