吉林大学学报(工学版) ›› 2016, Vol. 46 ›› Issue (2): 627-631.doi: 10.13229/j.cnki.jdxbgxb201602043

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KL transformation based the theory of multidimensional vector matrix

CHEN Mian-shu, WANG Yuan-yuan, SANG Ai-jun, CHEN He-xin   

  1. College of Communication Engineering, Jilin University, Changchun 130022,China
  • Received:2014-12-03 Online:2016-02-20 Published:2016-02-20

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Abstract: In order to adapt Karhunen-Loeve (KL) transform to multidimensional data, meanwhile to find out the optimal transformation of multidimensional vector matrix, a Multidimensional KL (MKL) transform based the theory of multidimensional vector matrix is proposed. First, the multidimensional covariance matrix is defined using the theory of multidimensional vector matrix, and the multidimensional characteristic matrix vector is solved. The, MKL transform is defined and the multidimensional data are mapped to the projective space. Simulation results show that the MKL transform in one-dimension has the same optimality as the KL transform. For 3D video data block, the average EPE can be as high as 99% by integral transformation, and MKL realizes decorrelation completely.

Key words: information processing, video image compression coding technology, multidimensional vector matrix, KL transform

CLC Number: 

  • TN919
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