本文提出了一种分数阶傅里叶变换(FRFT)高分辨(Zoom-FRFT)算法,通过设置谱区间和输出点数肘,可实现任意局部谱的高分辨计算.随后,针对M很小时Zoom-FRFT运算效率低的问题,提出了基于Homer的单点快速计算(SP-FRFT)方法,并针对零点计算做出进一步简化.利用SP-FRFT可提高少量点输出时的计算效率,也可用于非均匀采样点计算.仿真结果验证了算法的有效性.
We present a FRFr high-resolution computation (zoom-FRFT) method, which can zoom-in on any interested portion of fractional spectrum by setting spectrum range and output number M.In addition,for solving lower efficiency of zoom-FRFT for small M, a FRFT single-point fast computation (SP-FRFT) method based on Homer rule is presented and its further reduction is made for zero-point computation.It can be used to increase eomputational efficiency for small M, and compute un-aniform output samples. Finally, two methods are verified by the simulations.