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Area minimization algorithm for parallel prefix adders under bitwise delay constraints

Published:11 March 2007Publication History

ABSTRACT

This paper addresses parallel prefix adder synthesis which targets area minimization under given timing constraints. This problem is treated as synthesis of prefix graphs which represent global structures of parallel prefix adders, and a two-folded robust heuristic is proposed. The first process is dynamic programming based area minimization (DPAM), where the search space is limited to a specific subset of the whole set of prefix graphs by imposing some restrictions on structure of prefix graphs, and an exact minimum prefix graph for the limited space can be found efficiently by dynamic programming. The second process is area reduction with re-structuring (ARRS),which removes imposed restrictions on structure, and restructures the result of DPAM for further area reduction. Experimental results show that the size of prefix graph can be reduced by about 10% compared to an existing approach, and area at gate level can also be reduced by more than 30% compared to a commercial tool in some case.

References

  1. R. P. Brent and H. T. Kung. A regular layout for parallel adders. IEEE Trans. Computers, 31(3):260--264, March 1982.Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. P. M. Kogge and H. S. Stone. A parallel algorithm for the efficient solution of a general class of recurrence equations. IEEE Trans. Computers, 22(8):786--793, August 1973.Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. I. Koren. Computer Arithmetic Algorithms. A K Peters, Ltd., 2002. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. J. Liu, S. Zhou, H. Zhu, and C.-K. Cheng. An algorithmic approach for generic parallel adders. In ICCAD, pages 734--740, November 2003. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. R. Rudell. Logic Synthesis for VLSI Design. PhD thesis, University of California, Berkeley, 1989. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. J. Sklansky. Conditional sum addition logic. IRE Trans. Electron. Comput., 9(6):226--231, 1960.Google ScholarGoogle ScholarCross RefCross Ref
  7. M. Snir. Depth-size trade-offs for parallel prefix computation. Journal of Algorithms 7, pages 185--201, 1986. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. H. Touati, C. Moon, R. K. Brayton, and A. Wang. Performance-oriented technology mapping. In MIT VLSI Conference, 1990. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. N. H. Weste and D. Harris. CMOS VLSI Design: A Circuits and Systems Perspective, chapter 10. Datapath Subsystems, pages 637--711. Addison Wesley, 2004.Google ScholarGoogle Scholar
  10. R. Zimmermann. Non-heuristic optimization and synthesis of parallel-prefix adders. In International Workshop on Logic and Architecture Synthesis, pages 123--132, December 1996.Google ScholarGoogle Scholar

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  1. Area minimization algorithm for parallel prefix adders under bitwise delay constraints

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        cover image ACM Conferences
        GLSVLSI '07: Proceedings of the 17th ACM Great Lakes symposium on VLSI
        March 2007
        626 pages
        ISBN:9781595936059
        DOI:10.1145/1228784

        Copyright © 2007 ACM

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        New York, NY, United States

        Publication History

        • Published: 11 March 2007

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