THE MULTIPLICATIVE COMPLEXITY AND ALGORITHM OF THE GENERALIZED DISCRETE FOURIER TRANSFORM(GFT)

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作者
Y.H. Zeng(7th Department
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关键词
DCT; II; THE MULTIPLICATIVE COMPLEXITY AND ALGORITHM OF THE GENERALIZED DISCRETE FOURIER TRANSFORM; Math; GFT;
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O241 [数值分析];
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摘要
In this paper, we have proved that the lower bound of the number of realmultiplications for computing a length 2t real GFT(a,b) (a = ±1/2, b = 0 or b =±1/2, a = 0) is 2t+1 - 2t - 2 and that for computing a length 2t real GFT(a,b)(a =±1/2, b = ±1/2) is 2t+1 - 2. Practical algorithms which meet the lower bounds ofmultiplications are given.
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页码:351 / 356
页数:6
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