The Parallel Enumeration Sorting Scheme for VLSI

Hiroto Yasuura, Naofumi Takagi, Shuzo Yajima

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)


We propose a new parallel sorting scheme, called the parallel enumeration sorting scheme, which is suitable for VLSI implementation. This scheme can be introduced to conventional computer systems without changing their architecture. In this scheme, sorting is divided into two stages, the ordering process and the rearranging one. The latter can be efficiently performed by central processing units or intelligent memory devices. For implementations of the ordering process by VLSI technology, we design a new hardware algorithm of parallel enumeration sorting circuits whose processing time is linearly proportional to the number of data for sorting. Data are serially transmitted between the sorting circuit and memory devices and the total communication between them is minimized. The basic structure used in the algorithm is called a bus connected cellular array structure with pipeline and parallel processing. The circuit consists of a linear array of one type of simple cell and two buses connecting all cells for efficient global communications in the circuit. The sorting circuit is simple, regular and small enough for realization by today's VLSI technology. We discuss several applications of the sorting circuit and evaluate its performance.

Original languageEnglish
Pages (from-to)1192-1201
Number of pages10
JournalIEEE Transactions on Computers
Issue number12
Publication statusPublished - Dec 1982
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computational Theory and Mathematics


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