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二维离散W变换的快速算法及其应用 被引量:3

A FAST ALGORITHM FOR 2D DISCRETE W TRANSFORM AND ITS APPLICATION
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摘要 In this paper, a 2D discrete W transform is turned to another 2D discrete transform.The kernel of the resulting transform is separable, thus it can be computed by the wellknown row-column algorithm. Therefore, a fast algorithm is obtained for 2D DWT witharbitrary length. Methods are also given in the paper for computing 2D cyclic convolutions,2D skew-cyclic convolutions and 2D generalized discrete Fourier transforms by 2D discreteW transform. Furthermore, running time of the algorithms on a kind of micro computeris given. In this paper, a 2D discrete W transform is turned to another 2D discrete transform.The kernel of the resulting transform is separable, thus it can be computed by the wellknown row-column algorithm. Therefore, a fast algorithm is obtained for 2D DWT witharbitrary length. Methods are also given in the paper for computing 2D cyclic convolutions,2D skew-cyclic convolutions and 2D generalized discrete Fourier transforms by 2D discreteW transform. Furthermore, running time of the algorithms on a kind of micro computeris given.
出处 《数值计算与计算机应用》 CSCD 北大核心 1997年第1期8-14,共7页 Journal on Numerical Methods and Computer Applications
基金 国防预研基金
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参考文献9

  • 1曾泳泓,蒋增荣.任意长度W变换的统一算法及其实现[J].计算数学,1996,18(3):321-327. 被引量:4
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二级参考文献16

  • 1曾泳泓.离散卷积的W变换算法[J].计算数学,1995,17(1):37-46. 被引量:10
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共引文献11

同被引文献26

  • 1曾泳泓,蒋增荣.任意长度W变换的统一算法及其实现[J].计算数学,1996,18(3):321-327. 被引量:4
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