A new fast algorithm for gyrator transform
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摘要: 为了研究gyrator变换在光学信息处理中的应用,提出了一种采用两次快速傅里叶变换实现快速计算gyrator变换的新算法.在量纲归一化条件下,研究了gyrator变换离散化过程,获得了空域、傅里叶变换域和gyrator变换域的采样间隔,形成了一种能避免尺度变换的算法.采用该算法进行了数值模拟实验,实验结果与相关文献中报道的计算结果一致.结果表明,该算法可以应用于gyrator变换的研究中.Abstract: In order to study the application of gyrator transform in optical information processing,a new fast algorithm for calculating gyrator transform was proposed based on twice fast Fourier transform algorithm.Under the condition of dimensional normalization,the discretization of the gyrator transform was studied and the sampling intervals were obtained in space domain,Fourier transform domain and gyrator transform domain respectively.Thus,this new algorithm could avoid scale transform.Some numerical simulation experiments were carried out based on the algorithm and the simulation results were consistent with those reported in the corresponding references.This algorithm can be applied to study gyrator transform.
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