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Improved scaling simulation of the general reconfigurable mesh

  • José Alberto Fernández-Zepeda
  • Ramachandran Vaidyanathan
  • Jerry L. Trahan
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1586)

Abstract

The reconfigurable mesh (R-Mesh) has drawn much interest in recent years, due in part to its ability to admit extremely fast algorithms for a large number of problems. For these algorithms to be useful in practice, the R-Mesh must be scalable; that is, any algorithm designed for a large R-Mesh should be able to run on a smaller R-Mesh without significant loss of efficiency. This amounts to designing a ‘scaling simulation” that simulates an arbitrary step of an N×N R-Mesh on a smaller P×P R-Mesh in O(N 2/P 2 f(N, P)) steps; f(N,P) is a nondecreasing function representing the simulation overhead. The aim is to minimize this overhead, ideally to a constant.

In this paper, we present a scaling simulation for the general (unconstrained) R-Mesh. This simulation has an overhead of log N (smaller than the log PlogN/P overhead of the previous fastest scaling simulation), using a CREW LRN-Mesh (a weaker version of the General R-Mesh) as the simulating model; prior simulations needed concurrent write.

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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • José Alberto Fernández-Zepeda
    • 1
  • Ramachandran Vaidyanathan
    • 1
  • Jerry L. Trahan
    • 1
  1. 1.Department of Electrical & Computer EngineeringLouisiana State UniversityBaton RougeUSA

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