快速傅氏变换的一个改进算法
AN IMPROVED ALGORITHM FOR FFT
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摘要: 正 我们知道,对于N=2点的复数离散序列,快速算法能以(N/2)次复数乘法实现其傅氏变换,比N2次复数乘法的实现方法,运算次数大为减少,速度大为提高。这对数值计算和数字信号处理技术都有重大的意义。快速傅氏变换(FFT)出现虽仅有15年,但已有了很大的发展,在实践中已得到广
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Abstract: An improved algorithm for FFT is proposed. The Fourier transforms of a complex discrete sequence with N = 2r points are performed by the operation of (-3) N/2 times of multiplication. The speed of the algorithm is faster than the conventional FFT. The speed up ratio is about 3/(-3). -
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