分数余弦变换是现代信号处理的常用工具,获得了广泛的发展。本文将以离散分数余弦变换(DFrCT)为研究对象,获得新的离散分数余弦变换——离散组合分数余弦变换(DCFrCT)。信号的离散组合余弦变换(DCCT)是信号的正向离散余弦变换(DCT)和逆...分数余弦变换是现代信号处理的常用工具,获得了广泛的发展。本文将以离散分数余弦变换(DFrCT)为研究对象,获得新的离散分数余弦变换——离散组合分数余弦变换(DCFrCT)。信号的离散组合余弦变换(DCCT)是信号的正向离散余弦变换(DCT)和逆向离散余弦变换(IDCT)的线性组合。本文中引入的离散组合分数式余弦变换是DCCT到分数域的推广,可以看作是正向DFrCT和逆向DFrCT的线性组合。并在不同的分数阶下给出了信号的恢复方案,得到了在不同分数阶下的仿真结果。Fractional cosine transform is a common tool in modern signal processing and has been widely developed. This paper takes discrete fractional cosine transform (DFrCT) as the research object and obtains a new discrete fractional cosine transform—discrete combined fractional cosine transform (DCFrCT). The discrete combined cosine transform (DCCT) of a signal is a linear combination of the forward discrete cosine transform (DCT) and the reverse discrete cosine transform (IDCT) of the signal. The discrete composite fractional cosine transform introduced in this paper is a generalization of DCCT to fractional domain and can be regarded as a linear combination of forward DFrCT and backward DFrCT. The signal recovery scheme is given in different fractional order, and the simulation results at different fractional orders are obtained.展开更多
O438 95020989一种新的快速离散余弦变换算法=A new fast algorithmfor the discrete cosine transform[刊,中]/吴晓芸,张太怡,张双腾(重庆大学电子信息工程学院.四川,重庆(630044))∥重庆大学学报.—1994,17(4).—29—35提出一种快速...O438 95020989一种新的快速离散余弦变换算法=A new fast algorithmfor the discrete cosine transform[刊,中]/吴晓芸,张太怡,张双腾(重庆大学电子信息工程学院.四川,重庆(630044))∥重庆大学学报.—1994,17(4).—29—35提出一种快速的离散余弦变换(DCT)算法.展开更多
文摘分数余弦变换是现代信号处理的常用工具,获得了广泛的发展。本文将以离散分数余弦变换(DFrCT)为研究对象,获得新的离散分数余弦变换——离散组合分数余弦变换(DCFrCT)。信号的离散组合余弦变换(DCCT)是信号的正向离散余弦变换(DCT)和逆向离散余弦变换(IDCT)的线性组合。本文中引入的离散组合分数式余弦变换是DCCT到分数域的推广,可以看作是正向DFrCT和逆向DFrCT的线性组合。并在不同的分数阶下给出了信号的恢复方案,得到了在不同分数阶下的仿真结果。Fractional cosine transform is a common tool in modern signal processing and has been widely developed. This paper takes discrete fractional cosine transform (DFrCT) as the research object and obtains a new discrete fractional cosine transform—discrete combined fractional cosine transform (DCFrCT). The discrete combined cosine transform (DCCT) of a signal is a linear combination of the forward discrete cosine transform (DCT) and the reverse discrete cosine transform (IDCT) of the signal. The discrete composite fractional cosine transform introduced in this paper is a generalization of DCCT to fractional domain and can be regarded as a linear combination of forward DFrCT and backward DFrCT. The signal recovery scheme is given in different fractional order, and the simulation results at different fractional orders are obtained.
文摘O438 95020989一种新的快速离散余弦变换算法=A new fast algorithmfor the discrete cosine transform[刊,中]/吴晓芸,张太怡,张双腾(重庆大学电子信息工程学院.四川,重庆(630044))∥重庆大学学报.—1994,17(4).—29—35提出一种快速的离散余弦变换(DCT)算法.
