A note on eigenvlaue decomposition on jacket transform

作者:Lee, Moon Ho*; Zhang, Xiao-Dong; Song, Wei
来源:IET Conference on Wireless, Mobile and Sensor Networks 2007, CCWMSN'07, Shanghai, China, 2007-12-12 To 2007-12-14.
DOI:10.1049/cp:20070316

摘要

Jacket transforms are defined to be n ×n matrices A = (a jk) over a field F with the property AA = nIn, where A is the transpose matrix of elements inverse of A, i.e., A = (akj-1), which generalized Hadamard transforms and Center Weighted Hadamard transforms. It has been found that the Jacket transforms are applied to signal and image representation and compression. This paper propose a new eigenvalue decomposition method with Jacket transform. The eigenvalue decomposition methods discussed here may be applied to doubly stochastic processing and the information-theoretic analysis of multiple in-put multiple output (MIMO) channels.

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