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Duhamel/Hollmann-Like Discrete Fourier Transform Algorithm With the Smallest Multiplicative Complexity Over a Finite Field
IEEE Transactions on Signal Processing ( IF 4.6 ) Pub Date : 2020-08-10 , DOI: 10.1109/tsp.2020.3015419
Sergei Valentinovich Fedorenko

The new method for the discrete Fourier transform computation over a finite field is introduced. This method is a nontrivial generalization of the Duhamel-Hollmann algorithm with replacement of the Toeplitz convolution calculation by the normalized cyclic convolution calculation. Both algorithms have the smallest multiplicative complexity.

中文翻译:


有限域上最小乘法复杂度的类Duhamel/Hollmann离散傅立叶变换算法



介绍了有限域上离散傅里叶变换计算的新方法。该方法是 Duhamel-Hollmann 算法的重要推广,用归一化循环卷积计算代替了 Toeplitz 卷积计算。两种算法都具有最小的乘法复杂度。
更新日期:2020-08-10
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