一种彩色超声多普勒血流速度估算的反正切优化算法

An Optimization of Arc Tangent Calculation Applied to Velocity Estimation of Color Doppler Ultrasond

通过对彩色多普勒血流速度自相关算法中反正切运算的分析,针对常用方法的一些不足,描述了一种基于现场可编程门阵列(FPGA)方法的反正切函数计算的优化方法。该优化算法根据反正切函数本身的对称性,能够极大地减少反正切运算耗费的硬件资源。通过对其进行VHDL语言描述,并经综合器综合实现后,集成于FPGA应用系统上进行实时性验证。验证结果证实该优化算法占用资源少,其运算速度也能够很好地满足彩色多普勒血流计算的需求。

In this paper, the arc tangent calculation applied to autocorrelation algorithm for color flow mapping was analyzed. In view of some shortcomings in the conventional methods and based on the Field - Programmable Gate Array （FPGA）, a new way for arc tangent calculation was designed. Because the arc tangent reduced look-up table （LUT） bulk, the optimization algorithm greatly saved the hardware resources. This optimization method programmed with the VHDL language,was integrated by the synthesizer, then downed to the FPGA circuit system for real-time validation. Finally it was proven that the optimization algorithm only took up a few resources, and its operation speed could also meet the requirement of color Doppler flow calculation.