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

• Orginal Article • Previous Articles     Next Articles

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

RICH HTML

0   

PDF (PC)

399

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
[1] 张伟,姚明辉,张君华,等. 高维非线性系统的全局分岔和混沌动力学研究[J]. 力学进展,2013 43(1):63-91.
Zhang Wei,Yao Ming-hui,Zhang Jun-hua, et al. High dimensional nonlinear systems global bifurcation and chaos dynamics research[J]. Advances in Mechanics,2013,43(1):63-91.
[2] 刘凯,李文东,张闻钊,等.高维辅助的普适量子线路优化[J].物理学报,2012,61(12):1-7.
Liu Kai, Li Wen-dong, Zhang Wen-zhao, et al. High-dimensional auxiliary's moderate line optimization[J].Acta Phys,2012,61(12):1-7.
[3] 丁东生,周志远,史宝森,等.高维量子态存储[J].量子电子学报,2014,31(4):442-449.
Ding Dong-sheng, Zhou Zhi-yuan, Shi Bao-sen,et al. A quantum memory for high-dimensional states[J]. Chinese Journal of Quantum Elecronics,2014,31(4):442-449.
[4] Liu L L, Chen H X, Sang A J, et al.4D order-4 vector matrix DCT integer transform and its application in video codec[J].Imaging Science Journal, 2010,58(10) : 321-330.
[5] 桑爱军,穆森,王墨林,等.基于多维矢量矩阵的多视角视频编码[J].吉林大学学报:工学版,2013,43(4):1110-1115.
Sang Ai-jun, Mu Sen ,Wang Mo-lin, et al. Multi-view video coding based on multidimensional vector matrix[J].Journal of Jilin University (Engineering and Technology Edition), 2013,43(4):1110-1115.
[6] 桑爱军,崔海廷,王墨林,等.高维变换域中的系数集中分析及研究[J].吉林大学学报:工学版,2013,43(增刊):96-100.
Sang Ai-jun,Cui Hai-ting,Wang Mo-lin,et al.Coefficients concentration analysis and research in high-dimensional transformation domain[J].Journal of Jilin University(Engineering and Technology),2013,43(Sup.):96-100.
[7] Puchala D. Approximating the KLT by maximizing the sum of fourth-order moments[J]. IEEE Signal Processing Letters, 2013,20(3):193-196.
[8] Jana S, Moulin P. Optimality of KLT for high-rate transform coding of Gaussian vector-scale mixtures: application to reconstruction, estimation, and classification[J]. IEEE Transaction on Information Theory, 2006,52(9) :4049-4068.
[9] 卢山.基于可逆整型KL变换和FS-KFDA的复杂图像压缩与分类[D]. 西安:西安电子科技大学电子工程学院,2013.
Lu Shan. Based on the reversible integer KL transform and complex image compression and classification of FS - KFDA said[D]. Xi'an: School of Electrical Engineering,Xi'an University of Electronic Science and Technology,2013.
[10] 王文峰. K-L变换的研究及其在图像压缩编码中的应用[D]. 沈阳:沈阳理工大学信息科学与工程学院,2008.
Wang Wen-feng. K-L transformation research and its application in image compression coding[D]. Shenyang: School of Information Science and Engineering, Shenyang Ligong University,2008.
[11] Hanzlik P, Páta P. Derivate statistics for Karhunen-Loève transform[J]. Proc of SPIE,2006,6180:1-7.
[1] YING Huan,LIU Song-hua,TANG Bo-wen,HAN Li-fang,ZHOU Liang. Efficient deterministic replay technique based on adaptive release strategy [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1917-1924.
[2] LIU Zhong-min,WANG Yang,LI Zhan-ming,HU Wen-jin. Image segmentation algorithm based on SLIC and fast nearest neighbor region merging [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1931-1937.
[3] SHAN Ze-biao,LIU Xiao-song,SHI Hong-wei,WANG Chun-yang,SHI Yao-wu. DOA tracking algorithm using dynamic compressed sensing [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1938-1944.
[4] YAO Hai-yang, WANG Hai-yan, ZHANG Zhi-chen, SHEN Xiao-hong. Reverse-joint signal detection model with double Duffing oscillator [J]. 吉林大学学报(工学版), 2018, 48(4): 1282-1290.
[5] QUAN Wei, HAO Xiao-ming, SUN Ya-dong, BAI Bao-hua, WANG Yu-ting. Development of individual objective lens for head-mounted projective display based on optical system of actual human eye [J]. 吉林大学学报(工学版), 2018, 48(4): 1291-1297.
[6] CHEN Mian-shu, SU Yue, SANG Ai-jun, LI Pei-peng. Image classification methods based on space vector model [J]. 吉林大学学报(工学版), 2018, 48(3): 943-951.
[7] CHEN Tao, CUI Yue-han, GUO Li-min. Improved algorithm of multiple signal classification for single snapshot [J]. 吉林大学学报(工学版), 2018, 48(3): 952-956.
[8] MENG Guang-wei, LI Rong-jia, WANG Xin, ZHOU Li-ming, GU Shuai. Analysis of intensity factors of interface crack in piezoelectric bimaterials [J]. 吉林大学学报(工学版), 2018, 48(2): 500-506.
[9] LIN Jin-hua, WANG Yan-jie, SUN Hong-hai. Improved feature-adaptive subdivision for Catmull-Clark surface model [J]. 吉林大学学报(工学版), 2018, 48(2): 625-632.
[10] WANG Ke, LIU Fu, KANG Bing, HUO Tong-tong, ZHOU Qiu-zhan. Bionic hypocenter localization method inspired by sand scorpion in locating preys [J]. 吉林大学学报(工学版), 2018, 48(2): 633-639.
[11] YU Hua-nan, DU Yao, GUO Shu-xu. High-precision synchronous phasor measurement based on compressed sensing [J]. 吉林大学学报(工学版), 2018, 48(1): 312-318.
[12] WANG Fang-shi, WANG Jian, LI Bing, WANG Bo. Deep attribute learning based traffic sign detection [J]. 吉林大学学报(工学版), 2018, 48(1): 319-329.
[13] LIU Dong-liang, WANG Qiu-shuang. Instantaneous velocity extraction method on NGSLM data [J]. 吉林大学学报(工学版), 2018, 48(1): 330-335.
[14] TANG Kun, SHI Rong-hua. Detection of wireless sensor network failure area based on butterfly effect signal [J]. 吉林大学学报(工学版), 2017, 47(6): 1939-1948.
[15] LI Juan, MENG Ke-xin, LI Yue, LIU Hui-li. Seismic signal noise suppression based on similarity matched Wiener filtering [J]. 吉林大学学报(工学版), 2017, 47(6): 1964-1968.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd