Ju-Yong Park

Jacket Matrix in Hyperbola

Abstract Jacket matrices[2][8] which are defined to be mm × matrices †1 T JJik= ⎡⎣ − ⎤⎦ over a Galois field F with the property † JJmI = m , J † is the transpose matrix of element-wise inverse of J , i.e., †1 T JJik= ⎡⎤⎣⎦ − , were introduced by Lee in 1984 and are used for Digital Signal Processing and Coding theory. This paper presents some square matrices A 2 n which can be eigenvalue decomposed by Jacket matrices. Specially, A 2 and its extension A 3 can be used for modifying the properties of hyperbola and hyperboloid, respectively. Specially, when the hyperbola has  times transformation, the final matrices 2 A n can be easily calculated by employing the EVD[7] of matrices A 2 . The ideas that we will develop here have applications in computer graphics and used in many important numerical algorithms. Key Words : Eigenvalue decomposition, Diagonalization, Jacket matrix, Center Weighed Hadamard. * 정회원, 대진대학교 컴퓨터공학과 ** 정회원, 신경대학교 인터넷정보통신학과 *** 정회원, 전북대학교 전자정보공학부(교신저자)접수일자 2015년 2월 11일, 수정완료 2015년 4월 22일게재확정일자 2015년 6월 12일Received: 11 February, 2015 / Revised: 22 April, 2015 /Accepted: 12 June, 2015

A Double Helix DNA Structure Based on the Block Circulant Matrix (I)

The genetic code is a key to bio-informatics and to a science of biological self-organizing on the whole. Modern science faces the necessity of understanding and systematically explaining mysterious features of ensembles of molecular structures of the genetic code. This paper is devoted to symmetrical analysis for genetic systems. Mathematical theories of noise-immunity coding and discrete signal processing are based on Jacket matrix methods of representation and analysis of information. Both of the RNA and Jacket Matrix property also have the Element(Block) - wise Inverse Matrices. These matrix methods, which are connected closely with relations of symmetry, are borrowed for a matrix analysis of ensembles of molecular elements of the genetic code. This method is presented for its simplicity and the clarity with which it decomposes a Jacket Matrix in terms of the genetic RNA Codon.

Blind Channel Estimation based on Hadamard Matrix Interstream Transmission for Multi-Cell MIMO Networks

In this paper, we introduce a Hadamard matrix interstream transmission based blind channel estimation for multi-cells multiple-input and multiple-output (MIMO) networks. The proposed scheme is based on a network with mobile stations (MS) which are deployed with multi cells. We assume that the MS have the signals from both cells. The signal from near cell are considered as desired signal and the signals from the other cells are interference signal. Since the channel is blind, so that we transmit Hadamard matrix pattern pilot stream to estimate the channel; that gives easier and fast channel estimation for large scale MIMO channel. The computation of Hadamard based system takes only complex additions, and thus the complexity of which is much lower than the scheme with Fourier transform since complex multiplications are not needed. The numerical analysis will give perfection of proposed channel estimation.

Cell Edge SINR of Multi-cell MIMO Downlink Channel

In this paper, we consider 19 cells with the two tiers for polar-rectangular coordinates (PRCs) and provide the cell edge performance of cellular networks based on distance from cell center i.e., BS (base station). When FFR is applied(or adopted) to cell edge, it is expected that BS cooperation, or a coordinated multipoint (CoMP) multiple access strategy will further improve the system performance. We proposed a new method to evaluate the sum rate capacity of the MIMO DC of multicell system. We improve the performance of cell edge users for intercell interference cancelation in cooperative downlink multicell systems. Simulation results show that the proposed scheme outperforms the reference schemes, in terms of cell edge SINR (signal-to-interference-noise ratio) with a minimal impact on the network path loss exponent. We show 13 dB improvements in cell-edge SINR by using reuse of three relative to reuse of one. BS cooperation has been proposed to mitigate the cell edge effect.

Properties and Characteristics of Jacket Matrices

As a reversible Jacket is having the compatibility of two sided wearing, the matrix that both the inside and the outside are compatible is called Jacket matrix, and the matrix is having both inside and outside by the processes of element-wise inverse and block-wise inverse. This concept had been completed by one of the authors Moon Ho Lee in 1989, and finally that resultant matrix has been christened as Jacket matrix, in 2000. This is the most generalized extension of the well known Hadamard matrices, which includes both orthogonal and non-orthogonal matrices. This matrix addresses many problems in information and communication theories. we investigate the properties of the Jacket matrix, i.e. determinants, eigenvalues, and kronecker product. These computations are very useful for signal processing and orthogonal codes design. In our proposal, we provide some results to calculate these values by using a very simple mathematical model with less complexity.