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Improved Affine Arithmetic-Based Precision Analysis for Polynomial Function Evaluation.
- Source :
-
IEEE Transactions on Computers . May2019, Vol. 68 Issue 5, p702-712. 11p. - Publication Year :
- 2019
-
Abstract
- Word-length allocation is the most important design phase to optimize hardware resources while guaranteeing a determined accuracy for circuits with fixed-point numbers. This paper presents an enhanced precision analysis for degree-n polynomial Horner's rule. It is based on affine arithmetic and introduces an error propagating formula for a degree-n polynomial Horner's rule. It takes into account quantization error of all the circuit's connections including the inputs. Furthermore, a tighter upper bound error is defined, exploiting the dependencies between intermediate connections. Hardware implementations show that the proposed upper bound results in an area reduction that reaches 70 percent. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189340
- Volume :
- 68
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Computers
- Publication Type :
- Academic Journal
- Accession number :
- 135863702
- Full Text :
- https://doi.org/10.1109/TC.2018.2882537