Perturbation Analysis for Word-length Optimization

  • Authors:
  • George A. Constantinides

  • Affiliations:
  • -

  • Venue:
  • FCCM '03 Proceedings of the 11th Annual IEEE Symposium on Field-Programmable Custom Computing Machines
  • Year:
  • 2003

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Abstract

This paper introduces a design tool and its associatedprocedures for determining the sensitivity of outputs in adigital signal processing design to small errors introducedby rounding or truncation of internal variables. The proposedapproach can be applied to both linear and nonlineardesigns. By analyzing the resulting sensitivity values,the proposed procedure is able to determine an appropriatedistinct word-length for each internal variable. Alsoin this paper, the power-optimizing capabilities of word-lengthoptimization are studied for the first time. Applicationof the proposed procedure to adaptive filters realizedin a Xilinx Virtex FPGA has resulted in area reductions ofup to 80% combined with power reductions of up to 98%and speed-up of up to 36% over common alternative designstrategies.