Multiple-Parameter Discrete Fractional Transform and its Applications
Multiple-Parameter Discrete Fractional Transform and its Applications
复制标题
多参数离散分数变换及其应用
DOI：
10.1109/tsp.2016.2544740
复制
发表时间：
2016-07-01
影响因子：
5.4
通讯作者：
Zhang, Feng
中科院分区：
文献类型：
--
作者：
Kang, Xuejing;Tao, Ran;Zhang, Feng
近年来，已经提出了几种特殊的多参数离散分数变换（MPDFRT），并且它们在通信系统和信息安全领域的优势已经得到证明。然而，MPDFRT的一般理论框架尚未建立。在本文中，我们提出了两个独立的理论框架，称为I型和II型MPDFRT，它们可以将现有的多参数变换作为特殊情况包含在内。对I型和II型MPDFRT的性质进行了详细分析，并定义了它们的高维算子。在这些理论框架下，我们可以构建在信号处理和信息安全中可能有用的新型变换。最后，我们在I型和II型MPDFRT域中进行了关于图像加密和图像特征提取的两个应用。仿真结果表明，在提出的理论框架下构建的典型变换在这些应用中产生了有前景的结果。
In recent years, several special multiple-parameter discrete fractional transforms (MPDFRTs) have been proposed, and their advantages have been demonstrated in the fields of communication systems and information security. However, the general theoretical framework of MPDFRTs has not yet been established. In this paper, we propose two separate theoretical frameworks called the type I and IIMPDFRT that can include existing multiple-parameter transforms as special cases. The properties of the type I and II MPDFRT have been analyzed in detail and their high-dimensional operators have been defined. Under the theoretical frameworks, we can construct new types of transforms that may be useful in signal processing and information security. Finally, we perform two applications about image encryption and image feature extraction in the type I and II MPDFRT domain. The simulation results demonstrate that the typical transforms constructed under the proposed theoretical frameworks yield promising results in these applications.