A more efficient permutation algorithm which has less computer operation and better structure is presented here for radix-2 FFT (FHT). It can fasten the FFT and FHT efficiently when N becomes large.
Cooley J W, Tukey J W. An algorithm for the fast Fourier transform and fast Hartley transform. Math. Comput., 1966,19(8): 197-202.[2]Duhamel P, Hollmamn H. Split-radix FFT algorithm, Election. Lett., 1984, 20(6): 14-16.[3]Hou H S. The fast Hartley transform algorithm. IEEE Trans. on C, 1987, 636(5): 147-156.[4]皱理和.数字信号处理.北京:国防工业出版社,1985,第六章.[5]曹钧.提高快速傅立叶变换算法效率的方法.微电子学与计算机,1984(5): 13-15.[6]Evans D M W. An improved digit-reversal permutation algorithm for the fast Fourier and Hartley[7]transform. IEEE Trans. on ASS只1987, ASSP-35(8): 1120-1135.