实现基于FPGA的完全规范化关联列德函数的计算
Yuxiang Fang1, Qingbin Wang1, Yichao Yang1
1School of Information and Electronic Engineering, Zhejiang University of Science and Technology, Hangzhou 310023, China.
本研究介绍了ZYNQ平台的实现,用于使用相关的Legendre函数 (fnALF) 进行更快的地球重力场计算. 新的管道架构显著提高了速度和效率,相比传统的CPU方法.
科学领域:
- 地测和地球物理学的地质学.
- 计算机工程 计算机工程
- 高性能计算 高性能计算
背景情况:
- 计算地球的重力场需要广泛的相关莱根德函数 (fnALF) 计算.
- 由于共享内存架构,当前基于CPU的方法面临速度和功率效率的限制.
- 对重力场数据的需求不断增加,加剧了计算时间和能源消耗.
研究的目的:
- 为fnALF计算开发一种新的,高效的计算实现.
- 克服传统的基于CPU的方法在测量和绘图中的局限性.
- 为了加速计算地球引力场的元素.
主要方法:
- 在ZYNQ平台上设计了一个任务平行"管道"架构.
- 将串行fnALF逻辑转换为更高效的硬件实现.
- 使用冗余计算层进行重复系数计算.
主要成果:
- 实现了准确和快速的fnALF计算.
- 在多个度上,与MATLAB R2020b相比,显著提高了效率 (超过三倍).
- 高阶系数 (360-1080) 的计算时间以毫秒为单位.
- 确定地质高的误差小于±0.1m,证实了可靠性.
结论:
- 基于ZYNQ的fnALF实现在速度和功率效率方面提供了显著的改进.
- 开发的管道架构有效地解决了重力场建模的计算瓶.
- 这种方法为地理测量和测量中的高阶重力场计算提供了可靠和高效的解决方案.
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