Self-similar module for FP/LNS arithmetic in high-performance FPGA systems

Lambert Spaanenburg; Stefan Mohl

doi:10.1117/12.608537

30 June 2005 Self-similar module for FP/LNS arithmetic in high-performance FPGA systems

Lambert Spaanenburg, Stefan Mohl

Proceedings Volume 5837, VLSI Circuits and Systems II; (2005) https://doi.org/10.1117/12.608537
Event: Microtechnologies for the New Millennium 2005, 2005, Sevilla, Spain

Abstract

The scientific community has gratefully embraced floating-point arithmetic to escape the close attention for accuracy and precision required in fixed-point computational styles. Though its deficiencies are well known, the role of the floating-point system as standard has kept other number representation systems from coming into practice. The paper discusses the relation between fixed and floating-point numbers from a pragmatic point of view that allows to mix both systems to optimize FPGA-based hardware accelerators. The method is developed for the Mitrion "processor on demand" technology, where a computationally intensive algorithm is transformed into a dedicated. The large gap in cycle time between fixed and floating-point operations and between direct and reverse operations makes the on-chip control for the fine-grain pipelines of parallel logic very complicated. Having alternative hardware realizations available can alleviate this. The paper uses a conjunctive notation, also known as DIGILOG, to introduce a flexible means in creating configurable arithmetic of arbitrary order using a single module type. This allows the Mitrion hardware compiler to match the hardware closer to the demands of the specific algorithm. Typical applications are in molecular simulation and real-time image analysis.

Citation Download Citation

Lambert Spaanenburg and Stefan Mohl "Self-similar module for FP/LNS arithmetic in high-performance FPGA systems", Proc. SPIE 5837, VLSI Circuits and Systems II, (30 June 2005); https://doi.org/10.1117/12.608537

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