文献类型：期刊文献

英文题名：Discrete fractional center weighted Hadamard transform

作者：Nie, Zongfeng[1]; 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：2

起止页码：750

外文期刊名：Proceedings - 4th International Congress on Image and Signal Processing, CISP 2011

收录：EI(收录号：20120214678302)

语种：英文

外文关键词：Hadamard transforms - Image processing

摘要：This paper derives the eigenvectors and eigenvalues sets of center weighted Hadamard transform (CWHT) matrix with the help of Kronecker product properties. After the eigenvalues are obtained, we can use the eigendecomposition method to define the fractional center weighted Hadamard transform (FrCWHT). The proposed method can be extended to find the eigendecomposition of block center weighted Hadamard transform (BCWHT) matrix. Then, the fractional block center weighted Hadamard transform (FrBCWHT) are obtained using similar methods. The presented FrCWHT and FrBCWHT are general form of CWHT and BCWHT, respectively, which have additional free parameter, and with these free parameters they may find their places in many applications. The final simulation experimental results indicate the FrCWHT and FrBCWHT are useful for signal and image processing. ? 2011 IEEE.