一种新的级联FFT算法

摘要

A new Inverse Order Cascade FFT (IOCFFT) algorithm is provided in this paper based on the analysis of the principle and shortage to the traditional Cascade FFT algorithm. The order of the traditional Cascade FFT algorithm is changed to reduce the processing load and energy leakage phenomenon. The inverse order of the traditional Cascade FFT is adopted in this new algorithm and intersection factor compensation is done between the two FFT stages. The phenomenon of grating lobes and high processing load is avoided in this new method. The validity and feasibility of the new algorithm is tested by deduction of the formulation and simulation of the theory.%提出针对交叉项补偿的新级联FFT算法。通过交叉项补偿处理及级联FFT运算顺序的调整，解决了传统算法数据量大的问题，以及栅瓣效应的出现，同时降低了在进行大数据量FFT运算时，单次处理负荷过大的问题。该算法在雷达、声呐并行信号处理领域具有较好的应用前景，理论推导和仿真验证的结果都表明了该算法的可行性和有效性。