文献类型：期刊文献

英文题名：Discrete HARWHT and discrete fractional HARWHT transforms

作者：Zhu, Hongqing[1]

机构：[1] Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai 200237, China

年份：2011

卷号：7003 LNAI

期号：PART 2

起止页码：530

外文期刊名：Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

收录：EI(收录号：20114214443178)

语种：英文

外文关键词：Walsh transforms - Hadamard transforms - Signal processing

摘要：This paper introduces a new transform known as HARWHT. It results from the Kronecker product of the discrete Hartley transform (DHT) and discrete Walsh-Hadamard transform (WHT). The eigenvectors and eigenvalues of the HARWHT transform matrices are presented using Kronecker product. Then, the results of the eigen decomposition of the transform matrices are used to define discrete fractional HARWHT transform. In addition, the study discusses the properties of discrete fractional HARWHT transform, such as angle additivity. Finally, the study investigates the application of the HARWHT and discrete fractional HARWHT in one and two-dimensional signal processing. ? 2011 Springer-Verlag.