一种新的余弦变换
A New Cosine Transform
摘要: 作为一种有效的时频分析工具，分数余弦变换具有保实性，在信号和图像处理领域获得广泛的应用，但其计算复杂度较高。为解决此问题，本文引入Kronecker以及N的分解，将大矩阵分为小矩阵，将其并行运算，由于引入的变换在一般意义上不是经典的余弦变换，因此我们将其称为离散伪分数余弦变换(Discrete Pseudo-Fractional Cosine Transform)，同时推导出这种新变化的定义及证明其性质。
Abstract:
As an effective time-frequency analysis tool, fractional cosine transform has fidelity and has been widely used in the field of signal and image processing, but its computational complexity is high. In order to solve this problem, in this paper, Kronecker and N decomposition are introduced, the large matrix is divided into small matrices, and it is operated in parallel, because the introduced transformation is not a classical cosine transformation in the general sense, so we call it Discrete Pseudo-Fractional Cosine Transform, and at the same time derive the definition of this new change and prove its properties.
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