一种分数余弦变换及应用

New fractional cosine transform and its application

定义了一种分数余弦变换的形式,用前两个整数阶余弦变换的线性叠加构造分数余弦变换。然后基于特征值及特征向量计算的方法将其扩展成K周期形式,推导了两种计算分数余弦变换的算法,并且讨论了与Pei定义的分数余弦变换之间的关系。最后探讨了其在音频信号数字水印中的应用。

A new Fractional Cosine Transform was proposed. It was a weighted combination of the first two integer-order cosine transforms of the original signal, and eigenvalues which have a periodicity of two it has the same eigenvectors as the cosine transform＇s, but the different When the periodicity from two to K was extended, K period fractional cosine transform was obtained. Two algorithms were deduced and the advantages of the new fractional cosine transform were analyzed. At last, the application in digital watermark of aural signals was discussed.