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THE MULTIPLICATIVE COMPLEXITY AND ALGORITHM OF THE GENERALIZED DISCRETE FOURIER TRANSFORM(GFT)
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作者 y.h. zeng(7th department, national university of defence technology, changsha, china) 《Journal of Computational Mathematics》 SCIE CSCD 1995年第4期351-356,共6页
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 l... 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. 展开更多
关键词 DCT II THE MULTIPLICATIVE COMPLEXITY AND ALGORITHM OF THE GENERALIZED DISCRETE FOURIER TRANSFORM Math GFT
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