二维离散余弦变换的一种新的快速算法
A NEW FAST ALGORITHM OF 2-D DISCRETE COSINE TRANSFORM
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摘要: 本文介绍了二维离散余弦变换(DCT)的一种新的快速算法。对于NN DCT(N=2m),只需用N个一维DCT和若干加法运算。与常规的行-列法相比,所需的乘法运算量减少了一半,也比其它的快速算法的乘法运算量要少,而加法运算量基本上是相同的。
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关键词:
- 图象处理; 离散余弦变换; 快速算法
Abstract: A new algorithm for the fast computation of a 2-D discrete cosine transform (DCT) is presented. It is shown that the N X N DCT, where N = 2m, can be computed using only N 1-D DCT's and additions, instead of using 2N 1-D DCT's, as in the conventional row-column approach. Hence the total number of multiplications for the proposed algorithm is only half of that required for the row-column approach, and is also less than that of most of other fast algorithms, while the number of additions is almost comparable to that of others. -
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