电子与封装2024，Vol.24Issue(5)：42-47,6.DOI:10.16257/j.cnki.1681-1070.2024.0049
基于泰勒级数近似的浮点开方运算器的设计
Design of Floating-Point Square Root Operator Based on Taylor Series Approximation
谌民迪 1万江华2
作者信息
- 1. 湘潭大学物理与光电工程学院,湖南湘潭 411100
- 2. 湘潭大学物理与光电工程学院,湖南湘潭 411100||湖南毂梁微电子有限公司,长沙 410000
- 折叠
摘要
Abstract
Based on the Taylor series expansions,optimization is performed for the floating-point square root operation,resulting in a design of a precise floating-point square root operator compliant with the IEEE-754 standard.To balance the overall performance of the square root operator,a quadratic expansion of the Taylor series is employed.In order to address the issue of not being able to perform precise rounding in the algorithm,a calibration method is introduced,calibrating the initial approximation to achieve an ideal error range.To improve data throughput rate and operating frequency,a 5-stage pipeline division is implemented for the square root operator.Simulation and synthesis results show that the error of the floating-point square root operator is less than 0.5 ulp,with a critical path delay of 2.23 ns,an area of 53 478.240 µm2,and a power consumption of 12.52 mW.关键词
开方运算器/误差分析/精确舍入/流水线Key words
square root operator/error analysis/precise rounding/pipeline分类
信息技术与安全科学引用本文复制引用
谌民迪,万江华..基于泰勒级数近似的浮点开方运算器的设计[J].电子与封装,2024,24(5):42-47,6.
