| 一种新的快速离散余弦变换算法 |
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| 引用本文： | 吴晓芸,张太怡.一种新的快速离散余弦变换算法[J].重庆大学学报(自然科学版),1994,17(4):29-34. |
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| 作者姓名： | 吴晓芸 张太怡 |
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| 作者单位： | 重庆大学电子信息工程学院 |
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| 摘 要： | 提出一种快速的离散余弦变换（ＤＣＴ）算法。由于计算机中整数运算远快于浮点运算，所以ＤＣＴ算法采用整数运算，并且通过矩阵变换来减少乘加次数，提出了运算速度。本算法用于我们开发的ＪＰＥＧ图像编码算法上，取得了满意的效果。
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| 关 键 词： | 离散余弦变换 DCT算法 图像处理 |
A New Fast Algorithm for the Discrete Cosine Transform |
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| Wu Xiaoyun,Zhang Taiyi,Zhang Shuangteng.A New Fast Algorithm for the Discrete Cosine Transform[J].Journal of Chongqing University(Natural Science Edition),1994,17(4):29-34. |
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| Authors: | Wu Xiaoyun Zhang Taiyi Zhang Shuangteng |
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| Institution: | Wu Xiaoyun; Zhang Taiyi; Zhang Shuangteng |
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| Abstract: | We prepose a new fast algorithm for computing discrete cosine transform and its inverse on two dimensional input sizes which are powers of 2.Because the integer operation is more faster than the float operation in computer,the integer operation is used in this algorithm.Through the matrix linear transform the number of operation for multiplications and additions is reduced,so that the speed is greatly raised.This algorithm is applied to our developmented JPEG image coding,and yields very good results. |
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| Keywords: | discrete cosine transform inverse discrete cosine transform matrkoperation linear transform tensor product |
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