Unifying Bit-Width Optimisation for Fixed-Point and Floating-Point Designs

  • Authors:
  • Altaf Abdul Gaffar;Oskar Mencer;Wayne Luk;Peter Y. K. Cheung

  • Affiliations:
  • Imperial College, London, UK;Imperial College, London, UK;Imperial College, London, UK;Imperial College, London, UK

  • Venue:
  • FCCM '04 Proceedings of the 12th Annual IEEE Symposium on Field-Programmable Custom Computing Machines
  • Year:
  • 2004

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Abstract

This paper presents a method that offers a uniform treatment for bit-width optimisation of both fixed-point and floating-point designs. Our work utilises automatic differentiation to compute the sensitivities of outputs to the bit-width of the various operands in the design. This sensitivity analysis enables us to explore and compare fixed-point and floating-point implementation for a particular design. As a result we can automate the selection of the optimal number representation for each variable in a design to optimize area and performance. We implement our method in the BitSize tool targeting reconfigurable architectures, which takes user-defined constraints to direct the optimisation procedure. We illustrate our approach using applications such as ray-tracing and function approximation.