Novel Statistical Wideband MIMO V2V Channel Modeling using Unitary Matrix Transformation Algorithm

2021 ◽  
pp. 1-1
Author(s):  
Hao Jiang ◽  
Baiping Xiong ◽  
Zaichen Zhang ◽  
Jiangfan Zhang ◽  
Hongming Zhang ◽  
...  
Keyword(s):  
Channel Modeling ◽  
Matrix Transformation ◽  
Unitary Matrix ◽  
Transformation Algorithm

Projection Transformation on 3D Object’s Three Views

2014 ◽  
Vol 1049-1050 ◽  
pp. 1950-1953
Author(s):  
Yu Lei Wang ◽  
Yin Han Gao ◽  
Wei Lei Wang
Keyword(s):  
Transformation Matrix ◽  
Matrix Transformation ◽  
Practical Application ◽  
3D Object ◽  
Transformation Algorithm ◽  
Projection Transformation

We always use projection transformation to display and draw 3D object. With the aid of matrix transformation algorithm, this paper deduces projection transformation matrix of 3D object’s three views, gets these points’planar coordinate, then we can present the three views. It has practical application value.

Theoretical Approach to Reduced Q-Matrix for Cognition Diagnosis

2013 ◽  
Vol 284-287 ◽  
pp. 3145-3148
Author(s):  
Hsiang Chuan Liu
Keyword(s):  
Theoretical Approach ◽  
Matrix Theory ◽  
Fast Algorithms ◽  
Main Issue ◽  
Matrix Transformation ◽  
Structure Matrix ◽  
Transformation Algorithm ◽  
Recognition Function ◽  
Q Matrix

The main issue of the Q-matrix theory for cognition diagnosis is how to find the reduced Q-matrix containing the all efficient items. In this paper, based on the attribute structure matrix transformation, a novel recognition function for an efficient item vector is proposed. Two fast algorithms, transformation algorithm and expansion algorithm for finding the reduced Q-matrix are proposed as well. Some important properties are also discussed.

scholarly journals DECOMPOSITION OF UNITARY MATRICES AND QUANTUM GATES

2013 ◽  
Vol 11 (01) ◽  
pp. 1350015 ◽  
Author(s):  
CHI-KWONG LI ◽  
REBECCA ROBERTS ◽  
XIAOYAN YIN
Keyword(s):  
General Scheme ◽  
Quantum Gate ◽  
Quantum Gates ◽  
Unitary Matrix ◽  
Additional Structure ◽  
Unitary Matrices ◽  
Decomposition Scheme ◽  
Single Qubit ◽  
Matlab Program

A general scheme is presented to decompose a d-by-d unitary matrix as the product of two-level unitary matrices with additional structure and prescribed determinants. In particular, the decomposition can be done by using two-level matrices in d - 1 classes, where each class is isomorphic to the group of 2 × 2 unitary matrices. The proposed scheme is easy to apply, and useful in treating problems with the additional structural restrictions. A Matlab program is written to implement the scheme, and the result is used to deduce the fact that every quantum gate acting on n-qubit registers can be expressed as no more than 2n-1(2n-1) fully controlled single-qubit gates chosen from 2n-1 classes, where the quantum gates in each class share the same n - 1 control qubits. Moreover, it is shown that one can easily adjust the proposed decomposition scheme to take advantage of additional structure evolving in the process.

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