本文提出离散余弦变换(DCT)的一种新的快速算法，其特点是变换长度任意，而且采用蝶形结构。

In this paper, a new fast algorithm to calculate discrete cosine transform (DCT) with arbitrary length by means of the butterfly structure is presented.

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给出了用离散余弦变换(DCT)实现的快速算法及复杂度，并考查了最优基的选取。

The fast algorithm based on discrete cosine transform (DCT) and its complexity are obtained and the selection of the best basis is discussed.

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这样，离散余弦、离散正弦、离散w变换快速算法就有了一个统一的格式。

So the fast algorithms of discrete sine transform, the discrete cosine transform and the discrete W transform are unified.

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