Systolic Tree Implementation of Data Structures

  • Authors:
  • Jik H. Chang;Oscar H. Ibarra;Moon Jung Chung;Kotesh K. Rao

  • Affiliations:
  • University of Minnesota, Minneapolis;University of Minnesota, Minneapolis;University of Minnesota, Minneapolis;Rensselaer Polytechnic Institute, Troy NY

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1988

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Abstract

Systolic tree architectures are presented for data structures such as stacks, queues, dequeues, priority queues, and dictionary machines. The stack, queue, and dequeue have a unit response time and a unit pipeline interval. The priority queue also has a unit response time, but the pipeline interval is 2. The response time and pipeline interval for the dictionary machine are O(log n) and O(1), respectively, where n is the number of data elements currently residing in the tree. In each node of the tree, the mechanism for controlling the transmission and distribution of data is finite state. This feature makes the designs presented here suitable for VLSI. If there are n data elements in the data structure, the depth of the tree is O(log n).