On discrete cosine transform
On discrete cosine transform
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DOI：
10.4314/njtr.v7i1.87943
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发表时间：
2011-09
期刊：
影响因子：
--
通讯作者：
Jianqin Zhou
中科院分区：
文献类型：
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作者：
Jianqin Zhou
离散余弦变换（DCT）由Ahmed、Natarajan和Rao提出，在数字信号处理、数据压缩和信息隐藏等领域有着广泛的应用。有四种类型的离散余弦变换。在离散余弦变换的模拟中，我们提出了一种三参数的广义离散余弦变换，并证明了它在一些新情况下的正交性。提出了一种新的离散余弦变换，并证明了它的正交性。最后，我们提出了一个三参数的广义离散W变换，并证明了它的正交性。
The discrete cosine transform (DCT), introduced by Ahmed, Natarajan and Rao, has been used in many applications of digital signal processing, data compression and information hiding. There are four types of the discrete cosine transform. In simulating the discrete cosine transform, we propose a generalized discrete cosine transform with three parameters, and prove its orthogonality for some new cases. A new type of discrete cosine transform is proposed and its orthogonality is proved. Finally, we propose a generalized discrete W transform with three parameters, and prove its orthogonality for some new cases.