Research on 2-D SDCT Performance Based on Transform Basic Matrix

2011 ◽  
Vol 63-64 ◽  
pp. 523-527
Author(s):  
Wen Bang Sun ◽  
He Xin Chen ◽  
Hong Chen ◽  
Wen Bing Sun
Keyword(s):  
Theoretical Analysis ◽  
Matrix Operation ◽  
Basic Matrix ◽  
Operation Method ◽  
Space Characteristic

Now, 2-D DCT has been used widely. But the 2-D DCT is operated by two-time1-D DCT successively, which can’t embody the space characteristic of 2-D transform well. To overcome such drawbacks, the paper proposed 2-D SDCT operation method. Firstly, some matrix operation principles are defined. Then, the transform basic matrix used for SDCT operation was build and the operation principle of SDCT is described in detail. Finally, the performance of 2-D SDCT was described systematically. The theoretical analysis shows that the proposed method makes 2-D DCT succinct to express, easy to comprehend and convenient to operate.

Research on 2-D DCT Algorithm and Performance Based on Transform Basic Matrix

2011 ◽  
Vol 58-60 ◽  
pp. 2570-2575
Author(s):  
Wen Bang Sun ◽  
He Xin Chen ◽  
Wen Bing Sun ◽  
Mai Yu Zhou
Keyword(s):  
Information Processing ◽  
Theoretical Analysis ◽  
Total Space ◽  
Processing Technology ◽  
Matrix Operation ◽  
Basic Matrix ◽  
Operation Method ◽  
Space Characteristic ◽  
And Performance

With the development of information processing technology, 2-D DCT has been used more and more widely. But the 2-D DCT is accomplished by computing twice 1-D DCT successively, and cannot embody the total space characteristic of 2-D transform well. To overcome such drawbacks, the paper has broken the traditional thinking of DCT operation, and proposed 2-D SDCT operation method. First, some new 2-D matrix operation principles are defined. Then, the transform basic matrix used for 2-D SDCT operation was build and the operation principle of 2-D SDCT is described in detail. Finally, the performance of 2-D SDCT was described systematically. The theoretical analysis shows that the proposed method makes 2-D DCT succinct to express, easy to comprehend and convenient to operate.

Research on SDCT Operation Based on Transform Basic Matrix

2011 ◽  
Vol 63-64 ◽  
pp. 987-990
Author(s):  
Wen Bang Sun ◽  
He Xin Chen ◽  
Wen Bing Sun ◽  
Hai Yan Tang
Keyword(s):  
Information Processing ◽  
Theoretical Analysis ◽  
Processing Technology ◽  
Matrix Operation ◽  
Basic Matrix

With the development of information processing technology, DCT has been used more and more widely. But multidimensional DCT hasn’t unified matrix expressions, and operates using 1-D DCT to each dimension successively, which cannot embody the overall space character of multidimensional transform well. So, a new SDCT method was proposed in the paper. First, several matrix operation methods were defined. Then, the operation principle of 1-D DCT, 2-D DCT and 3-D SDCT was described in detail. The theoretical analysis shows that the SDCT makes DCT unified and succinct to express, easy to comprehend and convenient to operate.

Research on 2-D Integer SDCT Algorithm

2013 ◽  
Vol 756-759 ◽  
pp. 1571-1575
Author(s):  
Hai Yan Tang ◽  
Wen Bang Sun ◽  
De Bao Zhang ◽  
Yan Chang
Keyword(s):  
Computational Complexity ◽  
Discrete Cosine Transform ◽  
Basic Principle ◽  
Total Space ◽  
Floating Point ◽  
Theoretic Analysis ◽  
Matrix Operation ◽  
Cosine Transform ◽  
Space Characteristic ◽  
Transform Matrix

Nowadays, 2-D DCT is applied widely. But the transform matrix of DCT is expressed with floating-point numbers, so the computational complexity is high and more system resources are occupied. In addition, the 2-D DCT is accomplished by operating 1-D DCT to the rows and columns of 2-D data successively, which cannt embody the total space characteristic of 2-D transform well. To overcome these drawbacks, 2-D integer SDCT (Sub-matrix Discrete Cosine Transform) was proposed in the paper. First, several matrix operation methods were defined. Then, the basic principle of 2-D integer SDCT was deduced in detail. The theoretic analysis show that 2-D integer SDCT is easy to comprehend, convenient to operate, and simplifies the calculation of 2-D DCT.

scholarly journals Three-phase distribution transformer connections modeling based on matrix operation method by phase-coordinates

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Zhigang Zhang ◽  
Mingrui Mo ◽  
Caizhu Wu
Keyword(s):  
Phase Distribution ◽  
Positive Sequence ◽  
Matrix Operation ◽  
Admittance Matrix ◽  
Magnetic Circuits ◽  
Operation Method ◽  
Phase Coordinates ◽  
Three Phase ◽  
The Matrix ◽  
Sequence Parameters

AbstractThis paper proposes a matrix operation method for modeling the three-phase transformer by phase-coordinates. Based on decoupling theory, the 12 × 12 dimension primitive admittance matrix is obtained at first employing the coupling configuration of the windings. Under the condition of asymmetric magnetic circuits, according to the boundary conditions for transformer connections, the transformers in different connections enable to be modeling by the matrix operation method from the primitive admittance matrix. Another purpose of this paper is to explain the differences of the phase-coordinates and the positive sequence parameters in the impedances of the transformers. The numerical testing results in IEEE-4 system show that the proposed method is valid and efficient.

scholarly journals Three-Phase Distribution Transformer Connections Modeling Based on Matrix Operation Method by Phase-coordinates

2020 ◽  
Author(s):  
Zhigang Zhang ◽  
Mingrui Mo ◽  
Caizhu Wu
Keyword(s):  
Phase Distribution ◽  
Positive Sequence ◽  
Matrix Operation ◽  
Admittance Matrix ◽  
Magnetic Circuits ◽  
Operation Method ◽  
Phase Coordinates ◽  
Three Phase ◽  
The Matrix ◽  
Sequence Parameters

Abstract This paper proposes a matrix operation method for modeling the three-phase transformer by phase-coordinates. Based on decoupling theory, the 12x12 dimension primitive admittance matrix is obtained at first employing the coupling configuration of the windings. Under the condition of asymmetric magnetic circuits, according to the boundary conditions for transformer connections, the transformers in different connections enable to be modeling by the matrix operation method from the primitive admittance matrix. Another purpose of this paper is to explain the differences of the phase-coordinates and the positive sequence parameters in the impedances of the transformers. The numerical testing results in IEEE-4 system show that the proposed method is valid and efficient.

Microdiffraction Patterns of Small Metallic Particles II; Theoretical Analysis

1982 ◽  
Vol 40 ◽  
pp. 668-669
Author(s):  
A. Gómez ◽  
P. Schabes-Retchkiman ◽  
M. José-Yacamán ◽  
T. Ocaña
Keyword(s):  
Experimental Data ◽  
Electron Diffraction ◽  
Theoretical Analysis ◽  
Size Range ◽  
Dynamical Theory ◽  
Metallic Particles ◽  
Splitting Effect

The splitting effect that is observed in microdiffraction pat-terns of small metallic particles in the size range 50-500 Å can be understood using the dynamical theory of electron diffraction for the case of a crystal containing a finite wedge. For the experimental data we refer to part I of this work in these proceedings.

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