基于 Radix-4 CORDIC 算法的低延迟和硬件高效的 VLSI 架构,用于 Nth 根和 Nth 功率计算
Ankur Changela1, Yogesh Kumar2, Marcin Woźniak3
1Department of Information and Communication Technology, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, India.
Scientific reports
|November 28, 2023
概括
与 radix-2 方法相比,一种新的 radix-4 过倍坐标 COordinate Rotion DIgital Computer (CORDIC) 架构可以减少硬件利用率,并改善固定点根和功率计算的错误性能.
科学领域:
- 数字信号处理 数字信号处理
- VLSI 架构设计 设计 设计
- 计算机算术 计算机算术
背景情况:
- 现有的固定点根和功率计算方法通常依赖于 radix-2 坐标旋转数字计算机 (CORDIC) 算法.
- Radix-2 CORDIC 算法存在很高的计算延迟,这对高效的硬件实现构成了挑战.
- 虽然radix-4 CORDIC的复杂性提供了更快的融合,但由于复杂的逻辑和规模因子管理,这是一个障碍.
研究的目的:
- 提出一种低复杂度的VLSI架构,用于计算固定点数的根和功率,使用一个半径为4的超标CORDIC.
- 为了解决与 radix-4 CORDIC 算法相关的硬件复杂性和计算挑战.
- 与现有的 radix-2 CORDIC 基于的方法相比,改进硬件利用率和错误性能.
主要方法:
- 一个修改后的 radix-4 超标向量 (R4HV) CORDIC 用于用简化的输入依赖旋转标准进行对数计算.
- 半径-4线性向量计算 (R4LV) CORDIC用于除法运算.
- 用于指数计算,采用已预先计算的缩放因子和无缩放的旋转,采用了经过修改的无缩放的 radix-4 过度旋转 (R4HR) CORDIC.
主要成果:
- 建议修改的R4HV CORDIC简化了角度选择标准,减少了硬件的复杂性.
- R4HR CORDIC通过预先计算尺度因子和使用无尺度旋转来实现降低复杂度.
- 硬件分析表明,与最近的方法相比,硬件利用率更高,FPGA实现显示硬件使用量减少了20%和更好的错误性能.
结论:
- 基于修改后的射线-4高压CORDIC的拟议的低复杂度VLSI架构有效计算固定点数的根和功率函数.
- 架构修改大大降低了硬件复杂性,并改善了性能指标.
- 实施的Virtex-6 FPGA解决方案在硬件效率和精度方面表现出与radix-2 CORDIC方法相比的实际优势.
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