Discrete Fractional Center Weighted Hadamard Transform
This paper derives the eigenvectors and eigenvalues sets of center weighted Hadamard transform (CWHT) matrix with the help of Kronecker product properties. After the eigen-values 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.
Zongfeng Nie Hongqing Zhu
Department of Electronics and Communications Engineering East China University of Science and Technology Shanghai 200237, China
国际会议
2011 4th International Congress on Image and Signal Processing(第四届图像与信号处理国际学术会议 CISP 2011)
上海
英文
765-769
2011-10-15（万方平台首次上网日期，不代表论文的发表时间）