A fast hybrid Jacket–Hadamard matrix based diagonal block-wise transform
作者：
Highlights：
• A unified fast hybrid diagonal block-wise transform (FHDBT) algorithm is proposed.
• Fast diagonal block matrix decomposition is made by the matrix product of successively lower order diagonal Jacket and Hadamard matrix.
• The DCT-II, DST-II, DFT, and HWT matrices can be unified by using sparse matrix decomposition algorithm.
• The proposed FHDBT exhibits less the computational complexity as its matrix size gets larger.
• The proposed algorithm is also well matched to circulant channel matrix.
摘要
•A unified fast hybrid diagonal block-wise transform (FHDBT) algorithm is proposed.•Fast diagonal block matrix decomposition is made by the matrix product of successively lower order diagonal Jacket and Hadamard matrix.•The DCT-II, DST-II, DFT, and HWT matrices can be unified by using sparse matrix decomposition algorithm.•The proposed FHDBT exhibits less the computational complexity as its matrix size gets larger.•The proposed algorithm is also well matched to circulant channel matrix.
论文关键词：Diagonal block (element)-wise inverse Jacket matrix (BIJM),Sparse matrix decomposition,Successive lower order diagonal sparse matrix,Hadamard matrix
论文评审过程：Received 23 April 2013, Revised 12 November 2013, Accepted 12 November 2013, Available online 4 December 2013.
论文官网地址：https://doi.org/10.1016/j.image.2013.11.002
