The Experts below are selected from a list of 14892 Experts worldwide ranked by ideXlab platform
Zhen Zhong - One of the best experts on this subject based on the ideXlab platform.
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closed form solutions for matrix linear systems using double matrix exponential functions
International Journal of Systems Science, 2009Co-Authors: Bin Zhou, Guangren Duan, Zhen ZhongAbstract:The article presents closed form solutions for a class of matrix linear systems whose state variable is a matrix. The formulation evaluates the state response of the system in terms of the original system matrices. The proposed solutions naturally fit systems which are most described conveniently by matrix processes. Its formulation uses a compact notation referred to as double matrix exponential functions, which is an extension of normal matrix exponential function. It is a straightforward extension of the solutions for Ordinary Vector linear systems studied in the past several decades and will play an important role in the design of matrix linear systems using original system matrices.
Bin Zhou - One of the best experts on this subject based on the ideXlab platform.
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closed form solutions for matrix linear systems using double matrix exponential functions
International Journal of Systems Science, 2009Co-Authors: Bin Zhou, Guangren Duan, Zhen ZhongAbstract:The article presents closed form solutions for a class of matrix linear systems whose state variable is a matrix. The formulation evaluates the state response of the system in terms of the original system matrices. The proposed solutions naturally fit systems which are most described conveniently by matrix processes. Its formulation uses a compact notation referred to as double matrix exponential functions, which is an extension of normal matrix exponential function. It is a straightforward extension of the solutions for Ordinary Vector linear systems studied in the past several decades and will play an important role in the design of matrix linear systems using original system matrices.
Guangren Duan - One of the best experts on this subject based on the ideXlab platform.
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closed form solutions for matrix linear systems using double matrix exponential functions
International Journal of Systems Science, 2009Co-Authors: Bin Zhou, Guangren Duan, Zhen ZhongAbstract:The article presents closed form solutions for a class of matrix linear systems whose state variable is a matrix. The formulation evaluates the state response of the system in terms of the original system matrices. The proposed solutions naturally fit systems which are most described conveniently by matrix processes. Its formulation uses a compact notation referred to as double matrix exponential functions, which is an extension of normal matrix exponential function. It is a straightforward extension of the solutions for Ordinary Vector linear systems studied in the past several decades and will play an important role in the design of matrix linear systems using original system matrices.
Hsuan-ting Chang - One of the best experts on this subject based on the ideXlab platform.
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gradient match and side match fractal Vector quantizers for images
IEEE Transactions on Image Processing, 2002Co-Authors: Hsuan-ting ChangAbstract:In this paper, we propose gradient match fractal Vector quantizers (GMFVQs) and side match fractal Vector quantizers (SMFVQs), which are two classes of finite state fractal Vector quantizers (FSFVQs), for the image coding framework. In our previous work, we proposed the noniterative fractal block coding (FBC) technique to improve the decoding speed and the coding performance for conventional FBC techniques. To reduce the number of bits for denoting the fractal code of the range block, the concepts of the gradient match Vector quantizers (GMVQs) and the side match Vector quantizers (SMVQs) are employed to the noniterative FBC technique. Unlike Ordinary Vector quantizers, the super codebooks in the proposed GMFVQs and SMFVQs are generated from the affine-transformed domain blocks in the noniterative FBC technique. The codewords in the state codebook are dynamically extracted from the super codebook with the side-match and gradient-match criteria. The redundancy in the affine-transformed domain blocks is greatly reduced and the compression ratio can be significantly increased. Our simulation results show that 15%-20% of the bit rates in the noniterative FBC technique are saved by using the proposed GMFVQs.
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Gradient match Vector quantizers for images
Optical Engineering, 2000Co-Authors: Hsuan-ting ChangAbstract:We propose a new class of finite-state Vector quantizers (FSVQs), called gradient match Vector quantizers (GMVQs), in the im- age coding framework. GMVQs can be considered more general than previously proposed side match Vector quantizers (SMVQs) since more border pixels between two neighboring blocks are considered in the state codebook design. Moreover, the concept of gradient matching used in GMVQs can be adjoined to another previously proposed overlap match Vector quantizers (OMVQs). Thus another new class of FSVQs are pro- posed and named as gradient and overlap match Vector quantizers (GOMVQs). GMVQs and GOMVQs utilize the 2-D spatial continuity of the pixel gradient as well as the high spatial correlation of pixels in typical grayscale images. Both minimize the gradient errors of the border pixels between blocks in Ordinary Vector quantization of images. In addition to reducing the granular noise that causes the annoying effect of visible pixel block boundaries, the proposed GMVQs and GOMVQs also can preserve the global gradient among the block boundaries and reduces more step noise than SMVQs and OMVQs in the area of high contrast edges. Experiments with the ''Lena'' image show that the proposed GMVQ can achieve the performance superior to those of SMVQ maxi- mum more than 1 dB peak signal-to-noise ratio (PSNR) under the same bit rate. On the other hand, GOMVQs can achieve further bit rate reduc- tion (about 0.14 to 0.3 bit/pixel) than OMVQ using the variable length noiseless code for the channel symbols. © 2000 Society of Photo-Optical Instru- mentation Engineers. (S0091-3286(00)00108-2)
Duan Guangren - One of the best experts on this subject based on the ideXlab platform.
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closed form solutions for matrix linear systems using double matrix exponential functions
Chinese Control Conference, 2006Co-Authors: Zhou Bin, Duan GuangrenAbstract:The paper presents closed form solutions for a class of matrix linear systems whose state variable is a matrix. The formulation evaluates the state response of the system in terms of the original system matrices. The proposed solutions naturally fit systems which are most conveniently described by matrix processes. Its formulation uses a compact notation referred as double matrix exponential functions, which is an extension of matrix exponential function, for aiding both intuition and mathematical manipulation. It is a straightforward extension of the solutions for Ordinary Vector linear systems studied in the past several decades and will play an important role in the design of matrix linear systems using original system matrices.
