介绍分段谱平均算法、两次FFT矩阵算法+频率细化算法和数字信道化等三种超长FFT等效算法。通过仿真分析得到,两次FFT矩阵方法的检测性能最好,测频精度最差,通过频率细化,虽然使检测能力有所下降,但能够达到很高的测频精度,其复杂度很高;分段谱平均方法原理和实现相对最简单,但其信号检测能力最差;数字信道化方法的信号检测能力相当于两次FFT+频率细化方法,测频精度可以通过设置信道数目进行精确测量,而且实现复杂度相对适中。综合考虑检测性能、计算复杂度和硬件可实现性,数字信道化方法最佳。
This paper introduces three equivalent algorithms of large-size FFT which are the averaging multiple FFT, the twice FFT matrix algorithm plus zoom FFT and the digital channelizing method. By simulation and calculation, we know that the twice FFT matrix algorithm has the best performance of signal detection, but the worst precision of frequency measuring. By plus zoom FFT, the performance of signal detection slightly loses, but the precision of frequency measuring is high, and it is very complex. The theory and realization of the averaging multiple FFT are simple, but the capability of signal detection is the worst. The signal detection performance of digital channelizing method equals to that of the twice FFT matrix algorithm plus zoom FFT. And the digital channelizing method can exactly measure the frequency by setting the number of channels, and its realization complexity is moderate. Integrately considering the signal detection performance, calculation complexity and hardware realiz