修正的二维快速傅里叶变换

R. Pupeikis
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引用次数: 2

摘要

这里假设,在相应的周期内,一些信号样本可以通过快速傅里叶变换(FFT)程序进行数字处理,以确定二维(2D)信号的光谱,并由传感器实时更新。迫切需要出现的每个新样品都具有新的二维光谱。这个想法是,二维FFT程序不应该对每个新样本重复。只需要在新样品出现并取代旧样品时修改程序即可。得到了二维谱样修正和在线计算的FFT算法的递推公式。这里也给出了模拟结果(见表1 - 3)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Revised 2D fast fourier transform
It is assumed here, that some signal samples in the respective period, available for processing digitally by the fast Fourier transform (FFT) procedure for determining spectra of two-dimensional (2D) signals, are updated by a sensor in real time. It is urgent for each new sample that emerges to have a new 2D spectrum. The idea is that the 2D FFT procedure should not be repeated for each new sample. It is needed just to modify the procedure when the new sample emerges and replaces the previous one. The recursive formulas for FFT algorithms that refer to the modification and on-line calculation of 2D spectrum samples are obtained. Simulation results are presented here, too (see table, Figures 1 - 3).
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